Question

The tangents drawn from (2,3) to the ellipse $9x^2+16y^2=144$ form a triangle with y-axis whose area is

• A. 5
• B. 4
• C. 2
• D. 1

Answer 1

The correct option is C 2

Equ of tangent is y – 3 = m(x – 2)
$\Rightarrow y=mx+(3-2m)C^2=a^2{m}^2+b^2\Rightarrow m=0,-1$
$\therefore$ Equ of tangent are y = 3, x + y = 5
Vertices are (0,3), (2,3), (0,5)