Q15 of 149 Page 16

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

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