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
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