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If the focus and vertex of a parabola ar...

If the focus and vertex of a parabola are the points (0, 2) and (0, 4), respectively, then find the equation

A

`y^(2)=8x+32`

B

`y^(2)=-8x+32`

C

`x^(2)+8x=32`

D

`x^(2)-8y=32`

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-PARABOLA-Exercise
  1. If the focus and vertex of a parabola are the points (0, 2) and (0, 4)...

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  2. Find the equation of the directrix of the parabola x^2-4x-3y+10=0.

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  3. If the vertex of a parabola is the point (-3,0) and the directrix is t...

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  4. Find the angle made by a double ordinate of length 8a at the vertex of...

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  5. Find the coordinates of points on the parabola y^2=8x whose focal dist...

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  6. An equilateral triangle is inscribed in the parabola y^2=4a x whose...

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  7. The coordinates of the focus of the parabola x^(2)-4x-8y-4=0

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  8. If y1, y2, y3 be the ordinates of a vertices of the triangle inscri...

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  9. The area of the triangle inscribed in the parabola y^(2)=4x the ordina...

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  10. The length of the latusrectum of the parbola whose focus is (3, 3) and...

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  11. The length of the latus rectum of the parabola whose focus is ((u^2)/(...

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  12. PQ is a double ordinate of a parabola y^2=4a xdot Find the locus of it...

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  13. If the segment intercepted by the parabola y=4a x with the line l x+m ...

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  14. The length of a focal chord of the parabola y^2=4ax making an angle th...

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  15. Show that the parametric point (2+t^(2),2t+1) represents a parabola. S...

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  16. The ratio in which the line segment joining the point (4, -6) and (3, ...

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  17. If (a , b) is the midpoint of a chord passing through the vertex of th...

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  18. If the vertex and focus of a parabola are (3,3) and (-3,3) respectivel...

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  19. about to only mathematics

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  20. If y(1),y(2) are the ordinates of two points P and Q on the parabola ...

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