Question

The angle of intersection between the curves y² = 4x and

x² + y² = 5 at point (1, 2) is –

• A. π/4
• B. tan^–1 3
• C. tan^–1 2
• D. π/2C

Answer 1

Answer: (B)

tan^–1 3

Answer 2

$\left( \frac{dy}{dx} \right)_{C_{1}}$ = $\frac{2}{y}$ = $\frac{2}{2}$= 1,$\left( \frac{dy}{dx} \right)_{C_{2}} = –\frac{x}{y} = –\frac{1}{2}$

∴ angle of intersection ⇒ tan θ = $\frac{1 + \frac{1}{2}}{1–\frac{1}{2}}$

⇒ θ = tan^–1 (3)