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JEE Advanced 2025 Paper 2

Section: Mathematics

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Question : 4 of 48

Marks: +1, -0

Let S denote the locus of the point of intersection of the pair of lines
‌4x−3y=12α
‌4αx+3αy=12
where α varies over the set of non-zero real numbers. Let T be the tangent to S passing through the points (p,0) and (0,q),q>0, and parallel to the line 4x−‌

y=0.
Then the value of pq is

[JEE Adv 2025 P2]

−6√2
−3√2
−9√2
−12√2

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