If the area of the triangle formed by the x -axis, the normal and the tangent to the circle x - 2 2 + y - 3 2 = 25 at the point 5 , 7 is A , then 24 A is equal to _________.

Question

If the area of the triangle formed by the x -axis, the normal and the tangent to the circle x - 2 2 + y - 3 2 = 25 at the point 5 , 7 is A , then 24 A is equal to _________.,

MARKS App · Accepted Answer

Equation of normal 4 x - 3 y + 1 = 0 and equation of tangents 3 x + 4 y - 43 = 0 Area of triangle = 1 2 43 3 + 1 4 × 7 = 1 2 172 + 3 12 × 7 A = 1225 24 Sq. unit 24 A = 1225 Note: As positive x -axis was given in the question so question was bonus in JEE Mains.

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