Inequalities 3 | CAT Preparation 2024 | Algebra | Quantitative Aptitude

Advance Algebra by Ravi Prakash | Quantitative Aptitude for CAT 2024
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Пікірлер: 59

  • @binnapaul2126
    @binnapaul21262 жыл бұрын

    Sir, I have been following your content for some time now and I have to say there are so many concepts taught here that can't be found anywhere else which makes solving questions so much easier and faster. Thank you so much sir. Also a humble request, please do upload videos on pipes and cisterns back again.

  • @Rodha

    @Rodha

    2 жыл бұрын

    Never deleted

  • @aahistachirps
    @aahistachirps3 жыл бұрын

    Thank you so much, sir. This video has cleared all my doubts and your methods are much easier than the conventional methods of AM and GM.

  • @phoenixcrew6045
    @phoenixcrew604510 ай бұрын

    RAVI SIR YOU ARE A GEM OF PERSON NEVER HAD A TEACHER LIKE YOU BEFORE ........ SIMPLY THE BEST!!!!!!! THANK YOU VERY MUCH😍

  • @harshalxd7533
    @harshalxd7533 Жыл бұрын

    Super level of Questions to raise the thinking bar ! thank you for such videos!

  • @yashasharma9963
    @yashasharma99633 жыл бұрын

    Great level of thinking + great level of explaining that thinking = Rodha.

  • @Atulvermaa76

    @Atulvermaa76

    3 жыл бұрын

    is that you comment on all videoss

  • @monishmoolya8919

    @monishmoolya8919

    Жыл бұрын

    We got a stocker here

  • @AkshayN-rh5ek

    @AkshayN-rh5ek

    11 ай бұрын

    @@monishmoolya8919 stalker*

  • @ayushisingh1471
    @ayushisingh147110 ай бұрын

    Awesome Content .......Thankyou Sir.

  • @vineetichake5014
    @vineetichake5014 Жыл бұрын

    The great Ravi sir!

  • @ksaikiran1781
    @ksaikiran17814 жыл бұрын

    i donno why but directly applying AM-GM concept is far more satisfying and less time consuming than the traditional method discussed above

  • @devashish4690

    @devashish4690

    4 жыл бұрын

    true..wanted to just crosscheck if at 7:00 the answer should be 3^9? please acknowledge

  • @bhaskarmaniraj

    @bhaskarmaniraj

    3 жыл бұрын

    @@devashish4690 Yes, even i got the same answer through am and gm method.

  • @Rodha

    @Rodha

    3 жыл бұрын

    @@devashish4690 no. Right answer is 3^10

  • @jaiganeshbaskar9888

    @jaiganeshbaskar9888

    Жыл бұрын

    @@devashish4690 The value that you got is the maximum value of (x^2.y^3.z^4) by AM-GM method but in the question they asked the maximum value of (x^4.y^2.z^3) so for this case using AM-GM method will not fetch you the result.

  • @sujalsonkar1657

    @sujalsonkar1657

    2 ай бұрын

    will you please explain how ?

  • @Daredavil_298
    @Daredavil_2986 ай бұрын

    Super content sir👍🙏🙏

  • @kunalmjain
    @kunalmjain4 жыл бұрын

    Sir can we take ratio of x y z and then solve eqn

  • @swapnil5162
    @swapnil5162 Жыл бұрын

    Great 👍 sir

  • @vinaykapil1413
    @vinaykapil14132 жыл бұрын

    Sir, a humble request, please do upload videos on coordinate geo back again.

  • @nidhiyadav8903
    @nidhiyadav8903 Жыл бұрын

    Thanks a ton sir🌼

  • @muskantiwary606
    @muskantiwary6063 жыл бұрын

    How can u identify the no. Is maximum or minimum? In 7th question, 2 is minimum and -2 is maximum . How please explain

  • @prithasingh6254
    @prithasingh6254 Жыл бұрын

    The first question was easily solvable by linear equations.

  • @PratyushAtghara266
    @PratyushAtghara266Ай бұрын

    interesting topic, well explained👏

  • @aashita203
    @aashita20310 ай бұрын

    Legend🤩

  • @tanmaydey3008
    @tanmaydey30082 жыл бұрын

    Thank You Sir

  • @arimachezhian8631
    @arimachezhian863111 ай бұрын

    Since it was never mentioned but both x and y to be positive in the first question. Can't we just assume a big value of negative x and corresposing y and yield Infinity as an answer

  • @Shivam_General_Fitness
    @Shivam_General_Fitness Жыл бұрын

    Thanku sir

  • @happy_bolta_hai
    @happy_bolta_hai Жыл бұрын

    Sir in first question... Cant X be -15 and Y be 15 as 2(-15)+3(15) = 45 and (-15)² + (15)³ = Maximum Value of x²y³.

  • @AbhishekKumar-kl9ug
    @AbhishekKumar-kl9ug3 жыл бұрын

    @ 7:03 ques, shouldn't the values of x:y:z (max) be 24:8:9 got it by the traditional method we did in prev ques to this one and eventually we'll be getting largest value (24)^4(8)^2(9)^3. @Rodha sir plz correct me if I'm making an error.

  • @avijanpaul9367

    @avijanpaul9367

    11 ай бұрын

    Well it’s just the ratio not the real answer to the question

  • @neelammaurya8970
    @neelammaurya89704 жыл бұрын

    in frst ques.if we keep close value as x=7, and y=8 then we'll get maximum value....y don't this to be done

  • @DhanushAdns

    @DhanushAdns

    3 жыл бұрын

    Then the value of 2x+3y would be 2(7) + 3(8) = 38

  • @debdipdutta3953
    @debdipdutta39536 ай бұрын

    this is the second lecture in inequalities🤗

  • @devarshpanchal9743
    @devarshpanchal97433 жыл бұрын

    Sir how is it possible that number and its reciprocal sum is =2 ifi take 100+1/100 then it is more than 100 how can it be 2 ?

  • @swapneelrao8276

    @swapneelrao8276

    3 жыл бұрын

    Bro, read the questions carefully. Here he never said the value is 2. The "minimum value" is 2.

  • @Rodha

    @Rodha

    3 жыл бұрын

    Min value is 2

  • @adityajain1984
    @adityajain198426 күн бұрын

    at 17:41, min can be 0, if we put a=-1

  • @KlutchyRex
    @KlutchyRex22 күн бұрын

    sir se ek sec phele answer likh kar khush hota hua main

  • @anoshirani5682
    @anoshirani568210 ай бұрын

    The 1st question is for maximum and 3rd question is for minimum, but we use the same rule for both. How is that possible?

  • @kronikevaporation6007

    @kronikevaporation6007

    10 ай бұрын

    Look intently. 1st question is asking for product and 3rd is asking for sum. It's maximum for product and minimum for sum.

  • @bhaskarmaniraj
    @bhaskarmaniraj3 жыл бұрын

    @9:15 I got the answer as 9. through am and gm method.

  • @priyabratanayak4359

    @priyabratanayak4359

    3 жыл бұрын

    Bro can you explain the am and gm method or share some link where i can find those!!

  • @bhaskarmaniraj

    @bhaskarmaniraj

    3 жыл бұрын

    @@priyabratanayak4359 You can learn it from Takshzila KZread channel.

  • @bond-hn4wd

    @bond-hn4wd

    3 жыл бұрын

    @@bhaskarmaniraj but its not full, we can still get problem with the fact the if we got maximum of addition and minimum of multiplication, then we have to rely on his teaching.

  • @ankitsharma-pf3zx

    @ankitsharma-pf3zx

    3 жыл бұрын

    u did calculation mistake... in gm part u have to write product as [(2x/4)^4][(3y/2)^2][(4y/3)^3] ..now u will get right

  • @TarunAsthana
    @TarunAsthana2 ай бұрын

    Is there any formula for (AB)min. When A+B=constant ?

  • @AbyjithK

    @AbyjithK

    2 ай бұрын

    Take A=1 and B= n-1 if A+B=n This will give the min value

  • @vibhavadhikari8013
    @vibhavadhikari80133 жыл бұрын

    2:29 Max value of (x^2).(y^3) is not 243 but infinity. For instance, x=-3, y=7, satisfy the equation 2x+3y=15, thus making (x^2).(y^3)=3087, which is greater than 243... Keeping reducing the value of x by 3 and y by 2 indefinitely, thus x approaches negative infinity and y positive infinity, thereby making the answer as infinity...

  • @garlapatisaibhargavreddy4834

    @garlapatisaibhargavreddy4834

    3 жыл бұрын

    Actually question was incomplete. Their should be x and y are natural numbers. Hope you got it

  • @vibhavadhikari8013
    @vibhavadhikari80133 жыл бұрын

    17:37 Error... Minimum value of expression is not 64, but 0. Put a=b=c=-1.

  • @Rodha

    @Rodha

    3 жыл бұрын

    1st read the main statement Question at 12:22. a,b,c,d are positive real numbers. Already given.

  • @pradipto_de
    @pradipto_de Жыл бұрын

    @6:15 it should be (3 raised to 9)

  • @parvathymarangattu7097

    @parvathymarangattu7097

    Ай бұрын

    Yes it is 3 raised to 9

  • @parvathymarangattu7097

    @parvathymarangattu7097

    Ай бұрын

    And answer will be 19683

  • @shishir6340
    @shishir63404 жыл бұрын

    2x+3y+4z=27 . solution is wrong. if we calculate x,y,z by normal method we get the values as x=8, y=8/3,z=3. this gives the maximum value as : 786432. but if we put your values to get maximum we get a smaller number than this.

  • @avinashbajpai7091

    @avinashbajpai7091

    4 жыл бұрын

    Bro it's (2)x + (3)y +(4)z =27 . So if we put your values the sum will exceed the constant value of 27.

  • @akshat9282

    @akshat9282

    3 жыл бұрын

    according to your values for x, y, z; the initial equation of 2x+3y+4z=27 is not satisfied