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CGP EDU Academic Team
Published on: August 14, 2026
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
Text Solution
Verified by ExpertsThe correct answer is:
A
Let point P (at 2 , 2at)
normal at P is y = -tx + 2at + at 3 y = 0, x = 2a + at
2 
Area of 
m = -t
a
2 [1+m 2 ]m= 120
(a, m) = (2, 3) will satisfy
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