Question

Equation of common tangent to ellipse $5x^2+2y^2=10$, and hyperbola $11x^2-3y^2=33$ is

• A. $y=\pm 3x\pm 21$
• B. $y=\pm x\pm 3$
• C. $y=\pm 4x\pm 37$
• D. $3x\pm y=12$

Answer 1

Answer: (C)

$c^2=a^2{m}^2+b^2=a^{2}m-b^2$
$2m^2+5=3m^2-11$
$\Rightarrow m^2=16=3x^2-11\Rightarrow y=\pm 4x\pm 37$