JEE Main 2018 — Application Of Derivatives Question with Solution
From: JEE Main 2018 (Offline)
Question
If the curves y2 = 6x, 9x2 + by2 = 16 intersect each other at right angles, then the value of b is :
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Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
When two curves intersect each other at right angle, then at the point of intersection the product of tangent of slopes = .
Let m1, and m2 are the tangent of the slope of the two curves respectively
m1 m2 = 1.
Now let they intersect at point (x1, y1)
and
y2 = 6x
9x2 + by2 = 16
As m1 m2 = 1
[as
Let m1, and m2 are the tangent of the slope of the two curves respectively
m1 m2 = 1.
Now let they intersect at point (x1, y1)
and
y2 = 6x
9x2 + by2 = 16
As m1 m2 = 1
[as
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This is a previous-year question from JEE Main 2018, covering the Application Of Derivatives chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.