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Let P be a point on the parabola y^2 =4a...

Let P be a point on the parabola `y^2 =4ax` , where `a>0` . The normal to the parabola at P meets the x -axis at a point Q .The area of the triangle PFQ , where F is the focus of the parabola, is 120. If the slope m of the normal and a are both positive integers, then the pair `(a ,m)` is

A

(2,3)

B

(1,3)

C

(2,4)

D

(3,4)

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