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If e, e’ be the eccentricities of two co...

If e, e’ be the eccentricities of two conics S and S’ and if `e^2 + e’^2 = 3`, then both S and S’ can be :

A

ellipses

B

parabolas

C

hyperbolas

D

None of these.

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MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. The vertex of the parabola y^2=4a(x+a) is:

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  2. The eccentricity of the conic 4x^2-9y^2=2 is :

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  3. If e, e’ be the eccentricities of two conics S and S’ and if e^2 + e’^...

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  4. The equation x^2/(2-lambda)+y^2/(lambda-5)+1=0 represents an ellipse i...

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  5. The length of the latus-rectum of the parabola x^2- 4x-8y +12= 0 is:

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  6. The focus of the parabola y = 2x^2 + x is

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  7. The axis of the parabola 9y^2-16x-12y-57=0 is :

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  8. The equation x^(2)+3y^(2)-9x+2y+1=0 represents

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  9. A bridge is in the shape of a semi-ellipse. It is 400 metres One and h...

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  10. The eccentricity of the ellipse4x^2 + 9y^2 = 36 is :

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  11. The foci of the ellipse 9x^2 +4y^2 =36 are

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  12. The foci of the ellipse 25(x+1)^2 + 9(y+2)^2 = 225, are at :

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  13. The lines a(1)x+b(1)y+c(1)=0 and a(2)x+b(2)y+c(2)=0 are perpendicular ...

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  14. The equation of straight line passing through the point (2, 3) and per...

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  15. The equations y=x sqrt3, y =1 are the sides of :

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  16. If a,b,c are in AP then ax + by + c = 0 represents

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  17. The coordinates of the foot of the perpendicular from (2,3) to the lin...

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  18. Find the orthocentre of the triangle formed by the lines xy = 0 and x+...

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  19. If the sum of the distances of a variable point from two perpendicular...

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  20. Point Q is symmetric to P (4, -1) with respect to the bisector of the ...

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