JEE Main 2022 Mathematics question
Let the tangent to the circle : at the point M(−1, 1) intersect the circle : , at two distinct points A and B. If the tangents to at the points A and B intersect at N, then the area of the triangle ANB is equal to :
Answer: (3)
Solution
The tangent to at M(−1, 1) is −x + y = 2. Putting y = x + 2 in : , so x = 1 or 2, giving A(1, 3) and B(2, 4). The chord AB is the chord of contact of , ) with respect to : , i.e. $(α - 3)x + (β - 2)y -
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