Question

# Assertion :The equation of circle having radius √10 and a diameter along line 2x+y=5is x2+y2−6x+2y=0 Reason: 2x+y=5 is a tangent to the circle x2+y2−6x+2y=0.

A
Assertion is true, Reason is true, Reason is a correct explanation for Reason.
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B
Assertion is true ; Reason is false.Assertion is true, Reason is true, Reason is not a correct explanation for Reason.
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C
Assertion is false, Reason is true.
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D
Assertion is true ; Reason is false.
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Solution

## The correct option is D Assertion is true ; Reason is false.Equation of circle given:⇒x2+y2−6x+2y=0∴ Centre →(3,−1)→(−g,−f)(3,−1) satisfies 2x+y=5(∵2(3)−1=5)∴2x+y=5 represents diameterRadius of circle =√g2+f2−c=√9+1−0=√10Hence, assertion is true.∵2x+y=5 is diameter line , hence it cannot be the tangent to the given circle.∴ Assertion is true, reason is false.∴D) Correct.

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