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Show that the equation of the circle pas...

Show that the equation of the circle passing through (1, 1) and the points of intersection of the circles `x^2+y^2+13 x-13 y=0` and `2x^2+2y^2+4x-7y-25=0` is `4x^2+4y^2+30 x-13 y-25=0.`

A

`4x^(2)+4y^(2)-30x-10y-25=0`

B

`4x^(2)+4y^(2)+30x-13y-25=0`

C

`4x^(2)+4y^(2)-17x-10y+25=0`

D

none of these

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The correct Answer is:
B
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OBJECTIVE RD SHARMA-CIRCLES-Exercise
  1. If the equation of a given circle is x^2+y^2=36 , then the length of t...

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  2. Find the angle which the common chord of x^2+y^2-4x=0 and x^2+y^2=16 s...

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  3. Show that the equation of the circle passing through (1, 1) and the ...

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  4. The tangents to x^2+y^2=a^2 having inclinations alpha and beta interse...

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  5. Equation of a circle with centre(4,3) touching the circle x^2+y^2=1

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  6. Find the number of common tangents that can be drawn to the circles...

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  7. If 3x+y=0 is a tangent to a circle whose center is (2,-1) , then find ...

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  8. Find the condition if the circle whose equations are x^2+y^2+c^2=2a x ...

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  9. The distance between the chords of contact of tangents to the circle x...

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  10. The condition that the chord xcosalpha+ysinalpha=p=0 of x^2+y^2-a^2=0 ...

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  11. The locus of the centres of the circles which touch x^2+y^2=a^2 and x^...

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  12. Let P be a point on the circle x^2+y^2=9,Q a point on the line 7x+y+3=...

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  13. Two lines through (2, 3) from which the circle x^2+y^2 =25 intercepts ...

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  14. A line meets the coordinate axes at A and B . A circle is circumscribe...

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  15. Find the co-ordinate of the point on the circle x^2+y^2-12x-4y +30=0, ...

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  16. If the angle of intersection of the circle x^2+y^2+x+y=0 and x^2+y^2+x...

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  17. Find the equation of the circle whose radius is 5a n d which touches t...

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  18. A B is a diameter of a circle and C is any point on the circle. ...

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  19. The locus of the mid point of a chord of the circle x^2+y^2=4 which su...

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  20. The point of which the line 9x + y - 28 = 0 is the chord of contact of...

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