Write the angle between the curves y2 = 4x and x2 = 2y – 3 at the point (1, 2).

Given two curves y2 = 4x and x2 = 2y – 3Differentiating both the equations w.r.t. x,For (1, 2):Thus we get⇒ tan θ=0⇒ θ=0°

Q13 of 149 Page 16

Write the angle between the curves y² = 4x and x² = 2y – 3 at the point (1, 2).

Given two curves y² = 4x and x² = 2y – 3

Differentiating both the equations w.r.t. x,

For (1, 2):

Thus we get

⇒ tan θ=0

⇒ θ=0°

Find the coordinates of the point on the curve y² = 3 – 4x where tangent is parallel to the line 2x + y – 2 = 0.

Write the equation of the tangent to the curve y = x² – x + 2 at the point where it crosses the y-axis.

Write the angle between the curves y = e^–x and y = e^x at their point of intersection.

Write the slope of the normal to the curve at the point