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If two chords having lengths a^2- 1 and ...

If two chords having lengths `a^2- 1` and 3 (a + 1), where a is a constant of a circle bisect each other, then the radius of the circle is :

A

6

B

`15/2`

C

8

D

`19/2`.

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MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. Area of the equilateral triangle inscribed in circle x^2+y^2 -7x+ 9y+5...

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  2. The equation of one of the diameters of the circle x^2+y^2 - 6x + 2y =...

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  3. If two chords having lengths a^2- 1 and 3 (a + 1), where a is a consta...

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  4. The equation of the parabola having focus (3, 2) and vertex (1, 2), is...

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  5. The sum of the distances of a point (2, -3) from the foci of an ellips...

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  6. The equation of one of the tangents to x^2/3-y^2/2=1 which is parallel...

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  7. If e1 is eccentricity of the ellipse x^2/16+y^2/7=1 and e2 is eccentri...

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  8. A line passes through point (2, 2) and perpendicular to the line 3x + ...

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

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  10. Points (3, 3), (h, 0), (0, k) are collinear and a/h+b/k=1/3. Then :

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  11. sqrt 2009/3 (x^2-y^2)=1, then eccentricity of the hyperbola is :

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  12. The value of k for which the line x+y+1=0 touches the parabola y^2 = 4...

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  13. The eccentricity of the ellipse x^2/a^2+y^2/b^2=1, if its latus rectum...

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  14. The angle between the tangents drawn from the origin to the parabola y...

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  15. The angle between the lines 2x = 3y=-z and 12x=-2y=-8z is:

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  16. The centres of 3 circles x^2+y^2 =1, x^2+y^2 +6x-2y=1, x^2+y^2-12x+4y=...

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  17. If the lines 2x + 3y+1=0,3x-y-4=0 are diameters of a circle x^2+ y^2+ ...

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  18. The equation of the circle, while touches the line x= y at origin and ...

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  19. The locus of the foot of the perpendicular from the centre of the elli...

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  20. The locus of the mid-points of a chord of the circle x^(2)+y^(2)=4 whi...

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