Equations of Tangents to Circles (Complete Grade 9 Lesson) | Grade 9 Playlist | GCSE Maths Tutor

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  • Опубліковано 6 січ 2025

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  • @TheGCSEMathsTutor
    @TheGCSEMathsTutor  2 роки тому +20

    💡Revision videos:
    💎 The Entire GCSE in Only 2 Hours!! Higher and Foundation Revision | GCSE Maths Tutor - ua-cam.com/video/8A3crqKb13I/v-deo.html
    💎 Everything for a Grade 6-9 in your GCSE Maths Exam! Higher Maths Exam Revision | GCSE Maths Tutor - ua-cam.com/video/o9VuZhCqR2U/v-deo.html
    If anyone would like to support the channel you can buy me a coffee ☕️ here: www.buymeacoffee.com/gcsemathstutor
    Check out the new shop 👕 here: the-gcse-maths-tutor.myspreadshop.co.uk/
    Thank you for all of your support! 😁🙏🏼

  • @HMS-xf9dq
    @HMS-xf9dq 2 роки тому +177

    i literally love you so much you and freesciencelessons should get a knighthood for being education legends

  • @estheromoyele3321
    @estheromoyele3321 2 роки тому +47

    Doing my first maths GCSE in one hour- thank you sooooo much for all the work you do- I feel so ready!!!

  • @infinity8362
    @infinity8362 Рік тому +31

    ive never understood this topic, thank you so much i feel so much more confident with these questions now :) 🙏

  • @rKaraa
    @rKaraa Рік тому +4

    this topic was always that 1 topic i wouldnt ever revising for as i never understood it. but after a while of watching unhelpful yt vids about this topic i came across your video and i can proudly say that i understand this topic fully!!. thank you so much sir, you dont know how much of a help you are to gcse students

    • @IsmaeelRashid-q2y
      @IsmaeelRashid-q2y 9 місяців тому

      its the easiest though vector proof geometry questions are the most difficult topic in the grade 9 category for me at least like when the question wants you to write like for example find the ratio FP:PM. these circle equations are soo easy Like I say its a grade 7 topic

  • @tpiano1165
    @tpiano1165 2 роки тому +10

    Last night, I made a comment and you had 74.4k Subscribers
    I just came back to your channel, and you now have 74.7k Subscribers!
    Wow keep it up!

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  2 роки тому +6

      Oh wow!! Great news I’m hitting subscriber numbers I never imagined!! Thank you for the kind words 😁🙏🏼

    • @tpiano1165
      @tpiano1165 2 роки тому +3

      @@TheGCSEMathsTutor 75.2k now! It's shooting up! I have a question about GCSE's in general. Currently I am in year 9, and i really love maths and want to learn GCSE content, but I don't know which topics to start with and how to practice them. Can you please offer a little bit of advice on how to get started? Many thanks!

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  2 роки тому +3

      @@tpiano1165 Ahhh wow it’s really shooting up! 😁
      If I were you, and it’s not a quick task.. I would work through this video: ua-cam.com/video/8A3crqKb13I/v-deo.html once you have done that, write down all the topics you need to work on and use the individual lesson videos in the description to work on any weaker/missing areas!
      Once you have done that and you are confident with those topics 1) you will have an amazing grounding of mathematics up to and including the grade 5 topics, and 2) you will be perfectly set and ready to start the next topics from grade 6-9 😁🙏🏼
      Hope this helps!

    • @tpiano1165
      @tpiano1165 2 роки тому +4

      @@TheGCSEMathsTutor Thank you for the quick reply! You have given me the motivation and self-drive to do well in maths! I shall keep you updated on this thread of how I am doing. I will save this video so I know where to go and comment! Your videos are soooo helpful and never stop making them, and carry on what you are doing. No disrespect to them, but you're better than HegartyMaths, CorbettMaths, PrimroseKitten, MathsGenie and all other maths channels combined.
      I wish you a good health to you and your family and friends.
      Now, let's start that video!

    • @tpiano1165
      @tpiano1165 2 роки тому +3

      @@TheGCSEMathsTutor Just to say you nearly have 80K! The maths progress is going really well, just finished the 5 hardest algebraic fractions questions!

  • @yusra0308
    @yusra0308 6 місяців тому +1

    Hey im in year 9 and I've always had a keen interest for maths your channel really helps me go the extra mile so Im really grateful. Could you make a playlist of difficult topics that we could watch and do you reccomend any resources im currently using corbettmaths worksheets! Thankyou for all you efforts!

  • @Deltrixx_X
    @Deltrixx_X 2 роки тому +8

    [3:20] I'm a bit confused, shouldn't the reciprocal of 4/3 be 3/4 as reciprocal technically just means flipping something over?

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  2 роки тому +8

      Absolutely correct! But when looking at perpendicular gradients we use the negative reciprocal as the gradient also changes from positive to negative or vice versa 😁🙏🏼

    • @woknow9356
      @woknow9356 2 роки тому

      Yh basically you divide the gradient by -1 for example -1 divided by 3/4 would be -4/3

    • @zeneko888
      @zeneko888 Рік тому

      what i do is just flip the fraction and change the sign operation. for example, if we wanted to change 2 to reciprocal we would turn 2 into 2/1 since thats what it is in fraction form and then flip it and stick a negative sign before it. so -2/1.

    • @宻
      @宻 Рік тому +1

      @@zeneko888 welll technically the negative reciprocal is -1/2 not -2/1

    • @zeneko888
      @zeneko888 Рік тому

      @@宻 my bad my method was wrong

  • @finnrattray
    @finnrattray 2 роки тому +32

    For the last question, I rationalised the denominators which also led the answer to look a lot neater. Would it still be accepted? Also I just came across your channel preparing for next set of mocks and I have to say it looks really useful and I will use it many more times before the summer exams.

    • @mustachioisbae
      @mustachioisbae 2 роки тому +8

      I did the same, and you would always get the mark for an equivalent answer, unless the question states to put your answer in a specific format

    • @lulu-mk6ci
      @lulu-mk6ci Рік тому +1

      same

    • @hamonthunder2740
      @hamonthunder2740 Рік тому +1

      Yeah

  • @alexandriakelly3401
    @alexandriakelly3401 2 роки тому +3

    explained it really well, thank you!

  • @VedantKohli-l4h
    @VedantKohli-l4h 10 місяців тому

    Thank you for your hard work ❤

  • @ali_xcv_4010
    @ali_xcv_4010 Рік тому

    49:12 when added the square roots, shouldnt the denominator change to 4squareroot7?

    • @ash-fr3eg
      @ash-fr3eg 11 місяців тому

      no, in addition and subtraction it's only the numerators that you add/subtract

  • @ayushseth2370
    @ayushseth2370 8 місяців тому

    At 9:13 isnt the change in y/change in x (2/-5) @TheGCSEMathsTutor

  • @DanHaines-kw3bl
    @DanHaines-kw3bl 2 роки тому +5

    Instead of finding the perpendicular bisector gradient (tangent) to the radius by circle theorems, you can also use implicit differentiation to find the gradient/normal or parametric differentiation when the gradient function is set to -cotθ and plug θ value to find the gradient/normal. After that you plug in the coordinates into the straight line formula y-y1=m(x-x1) to find the equation of the tangent/normal.

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  2 роки тому +26

      Yes but certainly not at GCSE level! 😁🙏🏼

    • @Boltai.
      @Boltai. Рік тому +20

      Shi that's English?

    • @Hadiis
      @Hadiis Рік тому +3

      ​@@Boltai. LMFAOODOSJKJD 🤣🤣🤣🤣🤣

  • @TahsinRahman-hl9zh
    @TahsinRahman-hl9zh 2 місяці тому

    for the last question do you not need to rationalise the denominator?

  • @julkamikula1553
    @julkamikula1553 Рік тому +1

    how to find the gradient of the line AO

  • @bilalmustafa5775
    @bilalmustafa5775 2 роки тому

    @The GCSE Maths Tutor I am confusion, Why is it that at 9:10 you put the triangle lengths as 5 and -2 and not as -5 and 2?

    • @zay3kh
      @zay3kh 2 роки тому +2

      That is because it moves 2 down and 5 to the right resulting it to be -2 and +5

  • @mznooo3857
    @mznooo3857 Рік тому

    At 9:14 the change in y / change in c is 2/5 not negative 2/5

  • @MrPGPh
    @MrPGPh 2 роки тому +5

    why don't u minimize the GCSE MATHS TUTOR banner on top by a bit to have a slight bigger space to work with

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  2 роки тому +19

      Not a bad idea! Could of used that advice 250 videos ago 🤣🤦🏽

  • @HelloGames-z4i
    @HelloGames-z4i 2 роки тому +4

    Hi sir does one think that gsce will go ahead

    • @neolight2922
      @neolight2922 2 роки тому +3

      wdym? the exams or ....

    • @HelloGames-z4i
      @HelloGames-z4i 2 роки тому +2

      @@neolight2922 yes

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  2 роки тому +2

      Yes I don’t see any reason why they won’t 😁🙏🏼

    • @neolight2922
      @neolight2922 2 роки тому +1

      @@HelloGames-z4i they will take place until if omicron or covid cases rise.

  • @aaryan8654
    @aaryan8654 9 місяців тому

    Surely you can differentiate them implicitly and find the tangent?

    • @doobs857
      @doobs857 8 місяців тому +1

      🤓

    • @weezah
      @weezah 7 місяців тому +1

      its gcse calculus isnt taught mate

  • @MrPGPh
    @MrPGPh 2 роки тому

    4:41
    isn't 4 + 9/4 = 25/4?
    did it in a calculator and it also shows 25/4

    • @virajmokashi9303
      @virajmokashi9303 2 роки тому

      simplify it.

    • @MrPGPh
      @MrPGPh 2 роки тому

      @@virajmokashi9303 ah yh nvm put it as mixed fractions not simplifying

  • @nidas4472
    @nidas4472 Рік тому

    Why isn’t the answer y=-4/5x +5 and 4/5 23:30

  • @dil820
    @dil820 Рік тому +1

    is it likely to see a question like the last one on an actual exam?

  • @AyeshaNadeem-v7k
    @AyeshaNadeem-v7k 11 місяців тому +1

    I think there is a mistake in the last question where line crosses the x axis the coordinates are (22,0). i also checked in desmos but can you please check it again and help me. it would be really helpful. thanks

    • @AyeshaNadeem-v7k
      @AyeshaNadeem-v7k 11 місяців тому

      I am sorry I said the wrong question number. its the one before the last question. sorry can you check the second last question again.

  • @Zee123.
    @Zee123. 9 місяців тому +1

    if for question 2 you didnt simplify and got :y=-2/6x +6 4/6 is it correct

  • @mistermusab8055
    @mistermusab8055 Рік тому

    21:05

  • @mistermusab8055
    @mistermusab8055 Рік тому

    38:23

  • @asmaa1853
    @asmaa1853 2 роки тому

    Thank you

  • @adamraza7536
    @adamraza7536 2 роки тому +5

    are these new videos or re-uploads

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  2 роки тому +7

      Some of the recent videos are corrected videos for the new website release 😁🙏🏼

  • @sharifsarkar7202
    @sharifsarkar7202 Рік тому

    But how about for questions for which the origin isn't (0,0)?

    • @eye4702
      @eye4702 Рік тому +1

      You would solve for x and y in the equation for example if it’s like (x+7)^2 + (y-8)^2 then x would be -7 and y would be 8

    • @jerusha_jebanesan
      @jerusha_jebanesan Рік тому +2

      In GCSEs maths exams, the circle will always be based around the origin. So don't worry about that until alevels lol

  • @javeria192
    @javeria192 Рік тому +1

    is this included in OCR 21st century higher

    • @IsmaeelRashid-q2y
      @IsmaeelRashid-q2y 9 місяців тому

      listen we all know your clearly cramming in your revision which clearly is not a powerful tool because if you was really bothered for your academics success you will dive and research into your exam board specifications individually lazybones? oh by the way are you a watch? because I want to be your battery xD like get out of the 19th century man we aint doing gcse english language lol in terms of this video

    • @Ari-bv9qr
      @Ari-bv9qr 9 місяців тому

      joke didnt bang the don commented that 7 months ago

  • @Az.podcast
    @Az.podcast Рік тому

    How many marks are these questions

  • @ELLIPTICALWR
    @ELLIPTICALWR 2 роки тому

    towards the end when you was finding c you did (7/2 root 7) + (9/2 root 7)= 16/2 root 7. I thought it was 16/4 root 7

  • @hjpp0639
    @hjpp0639 2 роки тому +1

    how many marks would this be in the exam?

  • @flamey7032
    @flamey7032 2 місяці тому

    exam tmrw wish me luck 😏😏

  • @ajjarmansoor5161
    @ajjarmansoor5161 Рік тому

    song name?

    • @wintrluvc
      @wintrluvc Рік тому

      ‘over n over - not the king’ (look in desc)

  • @deathsoul4884
    @deathsoul4884 2 роки тому +7

    first

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  2 роки тому +4

      🥇🥇🥇

    • @AyeshaNadeem-v7k
      @AyeshaNadeem-v7k 11 місяців тому

      hi can you look over again at the last question I think there is a tiny winy mistake. where the line crosses the X axis the coordinates are (22,0) I also checked it on Desmos so can you please check it and tell me how you got (20,0)@@TheGCSEMathsTutor

  • @Ali83833
    @Ali83833 2 роки тому +2

    Why these always gotta be so long man

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  2 роки тому +18

      Because I go over the entirety of the topic with multiple examples and fully walk through all the practice questions!
      The idea is that you can skip to the answer and if you get it right.. you don’t need to watch it, if you don’t then you have a full walkthrough!
      This topic would take 3-4 hours of teaching to cover in class so 50 minutes is significantly reduced, I could of course make a “click bait” video showing you one question and pretending that was enough but I would be doing you all a huge disservice😁🙏🏼

  • @r4sshai
    @r4sshai Рік тому

    is this calc or non calc?

  • @battymansam7172
    @battymansam7172 2 роки тому +2

    Got a 57/80 on a higher paper in class today,had some real fuckups to get that low score,but this grade 9 question was the only one I didn’t understand,turns out those 5 marks are fucking simple and I just hadn’t learnt it

    • @chillx656
      @chillx656 2 роки тому +3

      You know 57/80 would be still be a solid 7 right? Really not that bad my guy. Just had to put that into perspective.

    • @Trithyl
      @Trithyl 2 роки тому +6

      @@chillx656 thats an 8

  • @binladen34444
    @binladen34444 Рік тому

    HHHHHmjHHHHH