The angle of intersection of the curves xy = a2 and x2 – y2 = 2a2 is:

Given that the curves xy = a2 and x2 – y2 = 2a2Differentiating both of them w.r.t. x,Let m1×m2=-1So, the angle between the curves is 90°.

Q14 of 149 Page 16

The angle of intersection of the curves xy = a² and x² – y² = 2a² is:

Given that the curves xy = a² and x² – y² = 2a²

Differentiating both of them w.r.t. x,

Let

m₁×m₂=-1

So, the angle between the curves is 90°.

The slope of the tangent to the curve x = t² + 3t – 8, y = 2t² – 2t – 5 at point (2, –1) is

At what points the slope of the tangent to the curve x² + y² – 2x – 3 = 0 is zero.

If the curve ay + x²= 7 and x³ = y cut orthogonally at (1, 1), then a is equal to

If the line y = x touches the curve y = x² + bx + c at a point (1, 1) then