Application of DerivativeHard
Question
If curve y = 1 - ax2 and y = x2 intersect orthogonally then the value of a is
Options
A.1/2
B.1/3
C.2
D.3
Solution
y = 1 - ax2 ⇒ 
= - 2ax
y = x2 ⇒
= 2a
(-2ax) (2x) = - 1
x2 =
= 1 - a 
= 3/2
a = 1/3
= - 2axy = x2 ⇒
= 2a(-2ax) (2x) = - 1
x2 =
= 1 - a = 3/2
a = 1/3
Create a free account to view solution
View Solution FreeMore Application of Derivative Questions
The number of values of x, where the function f (x) = cos x + cos (√2x) attains its maximum, is...The equation of tangent to the curve y = 2sinx + sin2x at the point x = π/3 is-...All points on curve y2 = 4a at which tangents are parallel to the axis of x, lie on a...A tangent drawn to the curve y = f(x) at P(x, y) cuts the x-axis and y-axis at A and B respectively such that BP : AP = ...The angle of intersection of x = √y and x3 + 6y = 7 at (1, 1) is -...