JEE Main 2021MathematicsApplication of DerivativesMediumNumerical

JEE Main 2021Application of Derivatives Question with Solution

JEE Main 2021 (24 Feb Shift 2)

Question

If the area of the triangle formed by the x-axis, the normal and the tangent to the circle x-22+y-32=25 at the point 5,7 is A, then 24A is equal to _________.

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Show full solutionCorrect answer: 1225
Correct answer
1225

Step-by-step explanation

Equation of normal

4x-3y+1=0

and equation of tangents

3x+4y-43=0

Area of triangle=12433+14×7

=12172+312×7

A=122524 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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About this question

This is a previous-year question from JEE Main 2021, covering the Application of Derivatives chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.