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Mathematics - Circle Question with Solution | TestHub

MathematicsCircleMedium2 min

MathematicsMediumsingle choice

Equation of circle touching the line $∣ x - 2∣ + ∣ y - 3∣ = 4$ will be

Question diagram: Equation of circle touching the line ∣ x − 2∣ + ∣ y − 3∣ = 4

Options:

Answer:

A

Solution:

PERPENDICULAR distance from centre to tangent $=$ radius

$r = \frac{∣2 + 3 - 9∣}{2} = \frac{4}{2} = \frac{4 2}{2} = 22$

Equation of circle is $(x - 2)^{2} + (y - 3)^{2} = 8$

Stream:JEESubject:MathematicsTopic:Circle

⏱ 2m

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