CA Foundation Exam  >  CA Foundation Questions  >  The gradient of the curve y – xy 2px 3qy ... Start Learning for Free
The gradient of the curve y – xy 2px 3qy = 0 at the point (3, 2 ) is -2 3 . The values of p and q are?
Most Upvoted Answer
The gradient of the curve y – xy 2px 3qy = 0 at the point (3, 2 ) ...
Given: The curve y - xy^2 + px + 3qy = 0 has a gradient of -2/3 at the point (3,2)

To find: The values of p and q

Explanation:

To find the values of p and q, we need to use the following formula:

Gradient of curve = -dy/dx = (2xy - y^2 + p)/(x - 3q)

We are given that the gradient of the curve at point (3,2) is -2/3. So we can substitute x=3 and y=2 in the above formula to get:

-2/3 = (2*3*2 - 2^2 + p)/(3 - 3q)

Simplifying the above equation, we get:

-2(3-3q) = 12 - 4 + 3(3-3q) + 2q

-6 + 6q = 15 - 9q + 2q

17q = 9

q = 9/17

Substituting the value of q in the above equation, we get:

-2/3 = (2*3*2 - 2^2 + p)/(3 - 3(9/17))

Simplifying the above equation, we get:

-2/3 = (8 + p)/(17/3)

Multiplying both sides by 17/3, we get:

-34/9 = 8 + p

p = -34/9 - 8

p = -106/9

Therefore, the values of p and q are -106/9 and 9/17 respectively.
Explore Courses for CA Foundation exam
The gradient of the curve y – xy 2px 3qy = 0 at the point (3, 2 ) is -2 3 . The values of p and q are?
Question Description
The gradient of the curve y – xy 2px 3qy = 0 at the point (3, 2 ) is -2 3 . The values of p and q are? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The gradient of the curve y – xy 2px 3qy = 0 at the point (3, 2 ) is -2 3 . The values of p and q are? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The gradient of the curve y – xy 2px 3qy = 0 at the point (3, 2 ) is -2 3 . The values of p and q are?.
Solutions for The gradient of the curve y – xy 2px 3qy = 0 at the point (3, 2 ) is -2 3 . The values of p and q are? in English & in Hindi are available as part of our courses for CA Foundation. Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of The gradient of the curve y – xy 2px 3qy = 0 at the point (3, 2 ) is -2 3 . The values of p and q are? defined & explained in the simplest way possible. Besides giving the explanation of The gradient of the curve y – xy 2px 3qy = 0 at the point (3, 2 ) is -2 3 . The values of p and q are?, a detailed solution for The gradient of the curve y – xy 2px 3qy = 0 at the point (3, 2 ) is -2 3 . The values of p and q are? has been provided alongside types of The gradient of the curve y – xy 2px 3qy = 0 at the point (3, 2 ) is -2 3 . The values of p and q are? theory, EduRev gives you an ample number of questions to practice The gradient of the curve y – xy 2px 3qy = 0 at the point (3, 2 ) is -2 3 . The values of p and q are? tests, examples and also practice CA Foundation tests.
Explore Courses for CA Foundation exam

Top Courses for CA Foundation

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev