Answer :

Given:


Curves + 1 ...(1)


& + 1 ...(2)


First curve is + 1


Differentiating above w.r.t x,


. = 0


.



m1 ...(3)


Second curve is + 1


Differentiating above w.r.t x,


. = 0


.



m2 ...(4)


Now equation (1) – (2) gives



x2() + y2() = 0


x2() = – y2()









...(5)


When m1 & m2 =



×


×


Substituting from equation (5),we get


×


– 1


The two curves intersect orthogonally,


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