JEE Main 2021 — Circle Question with Solution
From: JEE Main 2021 (Online) 17th March Evening Shift
Question
Let the tangent to the circle x2 + y2 = 25 at the point R(3, 4) meet x-axis and y-axis at points P and Q, respectively. If r is the radius of the circle passing through the origin O and having centre at the incentre of the triangle OPQ, then r2 is equal to :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Given equation of circle
x2 + y2 = 25
Tangent equation at (3, 4)
T : 3x + 4y = 25
Incentre of OPQ.
Distance from origin to incenter is r.
Therefore, the correct answer is (B).
x2 + y2 = 25
Tangent equation at (3, 4)
T : 3x + 4y = 25
Incentre of OPQ.
Distance from origin to incenter is r.
Therefore, the correct answer is (B).
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