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JEE Main 2016 Mathematics question

MathematicsCircleJEE Main 2016

Equation of the tangent to the circle, at the point , whose center, is the point of intersection of the straight lines and is:

Answer: (1)

Solution

First locate the centre by solving the two lines simultaneously: adding and gives , so and then . The centre is . The radius drawn to the point of contact

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Question ID VK-115654