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If p ,q ,r ,s ae rational numbers and th...

If `p ,q ,r ,s` ae rational numbers and the roots of `f(x)=0` are eccentricities of a parabola and a rectangular hyperbola, where `f(x0=p x^3+q x^2+r x+s ,t h e np+q+r+s=` `p` b. `-p` c. `2p` d. `0`

A

`-1`

B

`0`

C

`1`

D

data inadequate

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The correct Answer is:
B
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ARIHANT MATHS-HYPERBOLA-Exercise (Single Option Correct Type Questions)
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  3. If p ,q ,r ,s ae rational numbers and the roots of f(x)=0 are eccentri...

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  4. From a point on the line y=x+c, c(parameter), tangents are drawn to th...

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  5. Find the 11^(th) term of the following sequence whose n^(th) term is ...

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  6. The number of points outside the hyperbola x^2/9-y^2/16=1 from where ...

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  7. Let A=(-3, 4) and B=(2, -1) be two fixed points. A point C moves such ...

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  8. A point P is taken on the right half of the hyperbola (x^(2))/(a^(2))-...

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  9. If the angle between the asymptotes of hyperbola (x^2)/(a^2)-(y^2)/(b^...

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  10. If alpha+beta=3pi , then the chord joining the points alpha and beta f...

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  11. If x^2/a^2+y^2/b^2=1(a>b) and x^2-y^2=c^2 cut at right angles, then:

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  12. Find the 15^(th) term of the following sequence whose n^(th) term is ...

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  13. An ellipse has eccentricity (1)/(2) and one focus at the point P ((1)/...

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  14. The equation of the line passing through the centre of a rectangular h...

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  15. The condition that a straight line with slope m will be normal to para...

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  16. Find the locus of the midpoints of chords of hyperbola 3x^(2)-2y^(2)+4...

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  17. The co-ordinates of the centre of the hyperbola, x^2+3x y+3y^2+2x+3y+2...

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  18. Find the 5^(th) term of the G.P , 1/2 , 1/4 ,1/8 ....

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  19. Locus of the point of intersection of the tangents at the points with ...

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