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Find the equation of a circle which pass...

Find the equation of a circle which passes through the point `(2,0)` and whose centre is the limit of the point of intersection of eth lines `3x+5y=1a n d(2+c)x+5c^2y=1a scvec1.`

A

`25(x ^(2) +y ^(2)) + 20x- 2y - 140 =0`

B

`25(x ^(2) + y ^(2)) - 20x + 2y - 60=0`

C

`9 (x ^(2) + y ^(2) ) - 20 x + 2y + 4=0`

D

`9(x ^(2) + y ^(2)) - 2x - 20 y + 4=0`

Text Solution

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The correct Answer is:
A
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MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -EXERCISE (LEVEL 1 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))
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  5. If y pm a =0 is a pair of tangents to the circle x ^(2) + y ^(2) =a ^...

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  7. The line (x-1) cos theta + (y-1) sin theta =1, for all values of theta...

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  8. Equation of the circle which cuts each of the circles x ^(2) + y ^(2) ...

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  9. The point at which the circle x ^(2) + y ^(2) + 2x + 6y + 4=0 and x ^(...

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  11. If the limiting points of the system of circles x ^(2) + y ^(2) + 2gx+...

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  12. Find the length of the chord x^2+y^2-4y=0 along the line x+y=1. Also f...

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  13. Locus of the centre of the circle touching the line 3x + 4y + 1=0 and ...

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  14. Chord of the circle x ^(2) +y ^(2) = 81 bisected at the point (-2,3) m...

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  15. An equilateral triangle is inscribed in the circle x ^(2) + y ^(2) =1 ...

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  16. The centre and radius of a circle given by equation x =2 +3 cos theta,...

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  17. Consider two circes x ^(2) + y ^(2) =a ^(2) - lamda and x ^(2) + y ^(2...

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  18. Tangents drawn from the point P(1,8) to the circle x^(2) + y^(2) - 6x ...

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  19. The equation of a common tangent with negative slope to the circle x^2...

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