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Q.

The coordinates of the centre and radius of the circle represented by the equation(3−2λ)x2+λy2−4x+2y−4=0 are

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a

(2, 1), 3

b

(- 2, 1), 3

c

(2, -1), 3

d

(2, -1), 1

answer is C.

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Detailed Solution

The equation (3−2λ)x2+λy2−4x+2y−4=0 will represent a circle if 3−2λ=λ⇒λ=1                          ∵ Coeff. of x2= Coeff. of y2Putting λ=1 in the given equation, we getThe coordinates of centre and radius of the circle represented by this equation are (2, -1) and 3 respectively.
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