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The length of the diameter of the circle...

The length of the diameter of the circle which cuts three circles : `x^2+y^2-x-y-14=0` `x^2+y^2+3x-5y- 10=0` `x^2+y^2-2x+3y-27=0` orthogonally, is :

A

4

B

2

C

8

D

6

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MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. The number of common tangents to the circles x^2+y^2-y=0 and x^2+y^2+y...

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  2. The co-ordinates of the centre of the smallest circle passing through ...

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  3. The length of the diameter of the circle which cuts three circles : x^...

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  4. For the parabola y^2 = 4x, the point P whose focal distance is 17, is ...

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  5. The angle between the tangents drawn from origin to the parabola y^2= ...

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  6. The number of values of c such that the straight line y=4x+c touches t...

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  7. If the circle x^2+y^2=a^2 intersects the hyperbola x y=C^2 at four poi...

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  8. The foot of the perpendicular from the point (2, 4) upon x + y= 4 is:

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  9. The vertices of a triangle are (6, 0), (0, 6) and (6, 6). Then distanc...

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  10. The angle between the pair of lines : x^2+2xy-y^2=0 is :

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  11. In an ellipse, if the lines joining focus to the extremities of the mi...

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  12. If a hyperbola passes through the foci of the ellipse x^2/25+ y^2/16=1...

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  13. The curve described parametrically by x=t^2+t and y=t^2-t represents :

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  14. If P is a point (x,y) on the line y=-3x such that P and the point (3,4...

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  15. A variable line through the point (1/5,1/5) cuts the coordinate axes i...

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  16. Find the equation of the circle which cuts orthogonally the circle x^(...

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  17. If the slope of one of the lines represented by ax^2+2hxy+ by^2 =0 be ...

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  18. If, in a hyperbola, the distance between the foci is 10 and the transv...

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  19. If (3, 3) is a vertex of a triangle and (- 3, 6) and (9,6) are the mid...

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  20. If px^2-10xy + 12y^2+ 5x - 16y - 3 = 0 represents a pair of straight l...

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