JEE Main 2022 Mathematics question
If two tangents drawn from a point (, ) lying on the ellipse to the parabola are such that the slope of one tangent is four times the other, then the value of equals .
Answer: 2929
Solution
(, ) lies on ... (1). A tangent to the parabola is y = mx + 1/m, and passing through (, ) gives with roots and . So and , which gives $4β
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