If the curve ay + x2= 7 and x3 = y cut orthogonally at (1, 1), then a is equal to
Given that the curves ay + x2= 7 and x3 = y
Differentiating both of them w.r.t. x,
For (1, 1)
Let
m1×m2=-1
(because curves cut each other orthogonally )
⇒ a = 6