Question

Two tangents $x-2y+10=0$ and $x=2$ of parabola intersect the tangent at vertex at $(-2,4)$ and $(2,0)$ respectively, then

• A. equation of axis of parabola is $y-x+1=0$.
• B. focus of parabola is $(0,-1)$.
• C. length of latus-rectum of parabola is $4\sqrt{2}$.
• D. equation of tangent at vertex of parabola is $y+x=2$.

Answer 1

Answer: (C), (D)

Correct answer is (c) length of latus-rectum of parabola is $4\sqrt{2}$. Correct answer is (d) equation of tangent at vertex of parabola is $y+x=2$.