The curves y = aex and y = be–x cut orthogonally, if
Given that the curves y = aex and y = be–x
Differentiating both of them w.r.t. x,
Let m1=aex and m2=-be-x
m1×m2=-1
(Because curves cut each other orthogonally)
⇒ -ab = -1
⇒ ab = 1