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CGP EDU Academic Team
Published on: August 13, 2026
If a circle and a parabola intersect in 4 points then the algebraic sum of the ordinates is
Text Solution
Verified by ExpertsThe correct answer is:
B
Let the equations of the circle and that of the parabola be
x 2 + y 2 + 2gx + 2fy + c = 0 and y 2 = 4ax respectively.
Eliminating x from these equation, we get
y 4 + y 2 (16a 2 + 8ag) + 32a 2 fy + 16a 2 c = 0 ⇒ ⇒ y 1 + y 2 + y 3 + y 4 = 0.
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