Question

Let L₁L₂ be the latusrectum of y² = 12x and p be any point on the directrix, then the area of ∆P L₁L₂ is

• A. 36 sq.units.
• B. 30 sq.units.
• C. 26 sq.units.
• D. 16 sq.units.

Answer 1

Answer: (A)

36 sq.units.

Answer 2

From the diagram, area of ∆PLL¹ = $\frac{1}{2}(LL^{1})(PM)$

= $\frac{1}{2}\mspace{6mu}(4a)\mspace{6mu}(2a)$

= 4a²

= 4 x 9 = 36