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If the equation lambda x^2+(2 lambda-3)y...

If the equation `lambda x^2+(2 lambda-3)y^2-4x-1=0` represents a circle, then its radius is :

A

`sqrt 11/3`

B

`sqrt 13/3`

C

`sqrt 7/3`

D

`1/3`.

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MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. The equation of the circle passing through the point (1, 1) and throug...

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  2. If the lines : x+2ay+a=0, x+3by+b=0 and x+4cy+c=0 are concurrent, wher...

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  3. If the equation lambda x^2+(2 lambda-3)y^2-4x-1=0 represents a circle,...

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  4. If x= 9 is the chord of contact of the hyperbola x^2-y^2=9, then the e...

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  5. On the ellipse 4x^2+9y^2=1, the points at which tangents are parallel ...

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  6. The equation of the common tangent touching the circle (x-3)^2 +y^2=9 ...

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  7. The number os integral values of m for which the x - coordinates of th...

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  8. The equation of the directrix of the parabola : y^2+ 4y + 4x+2=0 is:

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  9. Let AB be a chord of the circle x^2+ y^2 = r^2 subtending a right angl...

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  10. Let PQ and RS be tangents at the extremities of the diameter PR or a c...

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  11. The area of the parallelogram formed by the lines y=m x ,y=x m+1,y=n x...

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  12. If agt2abgt0, then the positive value of m for which y=mx-bsqrt((1+m^(...

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  13. The locus of the mid-point of the line segment joining the focus to a ...

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  14. The area bounded by the curves : y=|x-1| and y=1 is :

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  15. The equation of the common tangent to the curves , y^2=8x and xy=-1 is...

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  16. If the tangent at the point P on the circle x^2+y^2+6x + 6y = 2 meets ...

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  17. A straight line through the origin O meets the parallel lines 4x + 2y ...

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  18. Let P=(-1,0) ,Q =(0,0) and R (3,3sqrt(3)) be three point . The equatio...

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  19. Let 0ltalphalt(pi)/(2) be a fixed angle. If P=(costheta,sintheta)andQ=...

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  20. A triangle with vertices (2, 0), (- 1,- 1),(1,0) is :

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