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CGP EDU Academic Team
Published on: August 14, 2026
Let tangents PQ and PR are drawn from the point P (- 2,4) to the parabola y 2 = 4x. If S is the focus of the parabola y 2 = 4x, then the value (in units) of RS + SQ is equal to
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CHECK THE SOLUTION.
22
Let, 
& 
, then P = (t 1 t 2 , t 1 + t 2 ) = (-2,4)
t 1 t 2 = -2 & t 1 + t 2 = 4
Now, QS = l + 
, RS= l + 
= 2 + (4) 2 - 2 (-2)
= 2 + 16 + 4 = 22 units
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