Question

(2.)Find the condition that conics ax2 + by2 = 1 and a' x2 + b'y? = 1 cut each other
orthogonally. ​

Answer 1

Answer:

Attached above, hope you satisfied with my answer.

Please mark as brainly.

Answer 2

Answer:

Let the point of intersection of the curves be , so this point must satisfy both the equations

So now equations become as shown below:

Solving (1) and (2) for we get:

Differentiating the given equations w.r.t x we get:

At point the slopes would be:

Now the curves intersect orthogonally at point if the product of slopes=-1, so it means: