Question

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

• A. (1/2, 1/4)
• B. (1/4, 1/2)
• C. (4, 2)
• D. (1, 1)

Answer 1

Answer: (B)

(1/4, 1/2)

Answer 2

$\frac{dy}{dx}$ = $\frac{1}{2y}$ = tan $\frac{\pi}{4}$ = 1

Ž 2y = 1 Ž y = $\frac{1}{2}$

\ x = $\frac{1}{4}$

\ point $\left( \frac{1}{4},\frac{1}{2} \right)$