Question

The equation of the tangents to the ellipse 4x² + 3y² = 5 which are parallel to the line y = 3x + 7 are

• A. y = 3x ± $\sqrt{\frac{155}{3}}$
• B. y = 3x ± $\sqrt{\frac{155}{12}}$
• C. y = 3x ± $\sqrt{\frac{95}{12}}$
• D. None of these

Answer 1

Answer: (D)

None of these

Answer 2

$\frac{x^{2}}{\left( \frac{5}{4} \right)} + \frac{y^{2}}{\left( \frac{5}{3} \right)} = 1$ ..... (1)

a² = 5/4; b² = 5/3

Eq of tangent ̃ y = mx ± $\sqrt{a^{2}m^{2} + b^{2}}$ ....(2)

Q M = 3 put in (2)