Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If P be a point on the parabola y 2 = 3(2x–3) and M is foot of perpendicular drawn from P on the directrix of the parabola, then length of each side of an equilateral triangle SMP, where S is focus of the parabola is.
Text Solution
Verified by ExpertsThe correct answer is:
6
Ans. 6
Sol. y 2 = 6 
Directrix x 
= 
⇒ x = 0
coordinates of P be 
coordinate of M are (0, 3t)
MP = 
+ 
t 2 & MS = 
9 + 9t 2 = 
(1 + t 2 ) 2 4 = 1 + t
2 Length of side = 6
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