JEE Main 2022 Mathematics question
Let a line L pass through the point of intersection of the lines bx + 10y − 8 = 0 and 2x − 3y = 0, b R − {4/3}. If the line L also passes through the point (1, 1) and touches the circle , then the eccentricity of the ellipse is :
Answer: (2)
Solution
The line through the point of intersection is . It passes through (1, 1): , so , and the line is (3b + 4)x − (3b − 4)y − 8 = 0. It touches the circle $ + =
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