JEE Main 2022 Mathematics question

MathematicsCircleJEE Main 2022

Let the lines and be normal to a circle C : . If the line is tangent to the circle C, then the value of is equal to .

Answer: 816

Solution

The centre of the circle is the intersection of the two normals: (h, , ). The radius is the distance of the centre from the tangent line : the numerator is \sqrt{11k}\sqrt{77}\sqrt{7}$ - 11 -

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Question ID VK-034985