Assertion :If the equation of a circle is $(x + 1)^{2} + (y - 1)^{2} = 4$ , then its radius is 4. Reason: Equation of a circle with radius r is given by, $(x - a)^{2} + (y - b)^{2} = r^{2}$ .

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Assertion is incorrect but Reason is correct

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Solution

The correct option is D Assertion is incorrect but Reason is correct
$(x + 1)^{2} + (y - 1)^{2} = 2^{2}$
Radius $= 2$ Centre $(- 1, 1)$
Assertion is incorrect but reason is correct.

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Choose the correct option.

Assertion (A) Order of the reaction can be zero or fractional.

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Assertion :If the equation of a circle is (x+1)2+(y−1)2=4, then its radius is 4. Reason: Equation of a circle with radius r is given by, (x−a)2+(y−b)2=r2.

The correct option is D Assertion is incorrect but Reason is correct(x+1)2+(y−1)2=22Radius =2 Centre (−1,1)Assertion is incorrect but reason is correct.

Assertion :If the equation of a circle is $(x + 1)^{2} + (y - 1)^{2} = 4$ , then its radius is 4. Reason: Equation of a circle with radius r is given by, $(x - a)^{2} + (y - b)^{2} = r^{2}$ .

The correct option is D Assertion is incorrect but Reason is correct
$(x + 1)^{2} + (y - 1)^{2} = 2^{2}$
Radius $= 2$ Centre $(- 1, 1)$
Assertion is incorrect but reason is correct.