Question

The point on the curve y² = x where tangent makes 45° angle with x-axis is

(a) (0,0)
(b) (2,16)
(c) (3, 9)
(d) none of these​

Answer 1

Answer:

d. none of these

right answer is..

Slope of the tangent = m = tan 45o = 1

y2 = x

2y (dy / dx) = 1

dy / dx = 1 / 2y

dy / dx = slope of the tangent

1 = 1 / 2y

y = 1 / 2

y2 = x

(1 / 4) = x

(1 / 4, 1 / 2) is the point.