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The vertex of the parabola x^(2)+2 y=8 x...

The vertex of the parabola `x^(2)+2 y=8 x-7` is

A

`(4, (7)/(2))`

B

`(4, (9)/(2))`

C

`(4, (9)/(2))`

D

(1,0)

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The correct Answer is:
B
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HIMALAYA PUBLICATION-PARABOLA-QUESTION BANK
  1. The equation of the normal to the parabola y^(2)=8 x having slope 1 is

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  2. The point on the parabola y^(2)=4 x, the normal makes equal angles wit...

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  3. The vertex of the parabola x^(2)+2 y=8 x-7 is

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  4. The tangents drawn from the ends of latus rectum of y^(2)=12 x meets a...

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  5. The tangent drawn at any point P to the parabola y^(2)=4 a x meets the...

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  6. A tangent to the parabola y^(2)=a x makes an angle 45^(circ) with the ...

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  7. The locus of the points which are equidistant from (-a, 0) and x=a

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  8. The vertex of the parabola y^(2)=4 a(x+a) is

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  9. If m(1) and m(2) are slopes of the two tangents that are drawn from (2...

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  10. The parabola (y+1)^(2)=a(x-2) passes through the point (1,-2) . The eq...

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  11. Two tangents are drawn from the point (-2,-1) to the parabola y^(2)=4 ...

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  12. The graph represented by the equations x=sin ^(2) t y=2 cos t is

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  13. If P S P^(prime) is a focal chord of the parabola y^(2)=4 a x and S L ...

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  14. The tangents at the points (a t(1)^(2), 2 a t(1)), (a t(2)^(2), 2 a t(...

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  15. Axis of the parabola x^(2)-3 y-6 x+6=0 is

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  16. If x+y+1=0 touches the parabola y^(2)=lambda x then lambda=

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  17. The equation of the directrix to the parabola y^(2)-2 x-6 y-5=0 is

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  18. The vertex of the parabola x^(2)+12 x-9 y=0 is

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  19. The focus of the parabola y^(2)-4 y-8 x+4=0 is

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  20. If 2y = 5x + k is a tangent to the parabola y^(2) = 6x then k =

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