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A variable circle C has the equation x^2...

A variable circle C has the equation `x^2 + y^2 - 2(t^2 - 3t+1)x - 2(t^2 + 2t)y + t = 0`, where t is a parameter.The locus of the centre of the circle is

A

`((1)/(10),-(1)/(10))`

B

`((1)/(10),(1)/(10))`

C

`(-(1)/(10),(1)/(10))`

D

`(-(1)/(10),-(1)/(10))`

Text Solution

Verified by Experts

The correct Answer is:
Hence, required ordered pair is `(-(1)/(10),(1)/(10))`
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ARIHANT MATHS-CIRCLE -Exercise (Questions Asked In Previous 13 Years Exam)
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  3. If the circles x^2+y^2+2a x+c y+a=0 and points Pa n dQ , then find the...

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  4. A circle touches the x-axis and also touches the circle with center (...

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  5. If a circle passes through the point (a, b) and cuts the circlex x^2+y...

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  6. Let ABCD be a square of side length 2 units. C2 is the circle through ...

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  7. ABCD is a square of side length 2 units. C(1) is the circle touching ...

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  8. ABCD is a square of side length 2 units. C(1) is the circle touching ...

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  9. If the lines 3x-4y-7 = 0 and 2x-3y-5=0 are two diameters of a circle o...

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  10. Let C be the circle with centre (0, 0) and radius 3 units. The equatio...

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  12. Consider a family of circles which are passing through the point (-...

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  13. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

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  14. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

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  15. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

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  16. Consider: L1:2x+3y+p-3=0 L2:2x+3y+p+3=0 where p is a real number and...

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  17. The point diametrically opposite to the point P(1, 0) on the circle x^...

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