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CGP EDU Academic Team
Published on: August 14, 2026
Locus of the poles of the tangents to the hyperbola x 2 – y 2
= (39) 2 with respect to the parabola y 2 = 156x is the ellipse 4x 2 + y 2 = k. S' is sum of digits in k. Find number of divisors of S.
Text Solution
Verified by ExpertsThe correct answer is:
6
Ans. 6
Sol. Let pole is (h, k). Polar is xh – ky = (39) 2
touches the ellipse ⇒ c = a/m, k = 6084
⇒ S = 18 ⇒ S = 18 = 2 × 3 2
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