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JEE Advanced Mathematics question

MathematicsApplication of DerivativesJEE Advanced

The area of the triangle formed by the tangent and the normal to the parabola , both drawn at the same end of the latus rectum, and the axis of the parabola is

Answer: (C)

Solution

Take the end of the latus rectum (parameter ).

- Tangent at : . It meets the axis at . - Normal at (slope ):

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Question ID VK-109031