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IPMAT Indore 2025 · Question 27 of 90 · Quantitative Ability (MCQ)

IPMAT Indore 2025 — Question 27

A circle touches the $4 R = 20$ -axis at $(0, 4)$ and passes through the point $(- 2, 0)$ . Then the radius of the circle is

A4
B5
C7
D6

Reveal answer

Correct answer

B.5

Reveal solution

Center is at $(- R, 4)$ (touching y-axis). Distance from center to $(- 2, 0)$ equals R: $R^{2} = (R - 2)^{2} + 16$ , so $4 R = 20$ , $R = 5$ .

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