⁠Hyperbola | JEE Advanced 2025 PYQ | #jeeadvancedpyq #jee2026 #jee2027

Let S denote the locus of the point of intersection of the pair of lines
4x - 3y=12α,
4αx + 3αy=12,
where a 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 - 3/√2y = 0.
Then the value of pq is
(a) -6√2
(b) -3√2
(c) -9√Z
(d) -12√2

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