JEE Advanced 2025 Mathematics question
Let S denote the locus of the point of intersection of the pair of lines
4x - 3y = 12α,
4α x + 3α y = 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 . Then the value of pq is
Answer: (A)
Solution
The second line is . Solving: , , so : S is a hyperbola. The tangent
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