JEE Main 2022 Mathematics question
Let P(a, b) be a point on the parabola such that the tangent at P passes through the centre of the circle . Let A be the product of all possible values of a and B be the product of all possible values of b. Then the value of A + B is equal to
Answer: (4)
Solution
The centre of the circle is (5, 7). The tangent to at the point with parameter t is yt = . Passing through (5, 7): , i.e. $
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