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If the parabola y^2=4a x\ passes throug...

If the parabola `y^2=4a x\ ` passes through the point (3,2) then find the length of its latus rectum.

A

`(2)/(3) `

B

`(4)/(3) `

C

`(1)/(3) `

D

4

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Verified by Experts

The correct Answer is:
B
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MODERN PUBLICATION-CONIC SECTIONS -OBJECTIVE TYPE QUESTIONS (MULTIPLE CHOICE QUESTIONS )
  1. The equation of a circle with origin as centre and passing through the...

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  2. If the focus of a parabola is at (0, -3) and its directrix is y = 3, t...

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  3. If the parabola y^2=4a x\ passes through the point (3,2) then find th...

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

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  5. Find the area of the triangle formed by the lines joining the verte...

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  6. Find the equation of the lines joining the vertex of the parabola y...

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  7. If question of the ellipse whose focus is (1,-1), then directrix the l...

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  8. The lenth of the latus rectum of the ellipse 3x^2+y^2=12 is :

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  9. If e is the eccentricity of the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(...

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  10. The equation of the ellipse whose centre is at origin and which passes...

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  11. The eccentricity of the hyperbola whose latuscrectum is 8 and conjugat...

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  12. If the distance between the foci of a hyperbola is 16 and its eccen...

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  13. The length of the transverse axis of a hyperbola is 7 and it passes th...

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  14. Equation of the hyperbola with eccentricity 3/2 and foci at (±2,0) is

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  15. The equation of the chord joining the points (x(1) , y(1)) and (x(2), ...

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  16. The foci of the hyperbola (x^(2))/(16) -(y^(2))/(9) = 1 is :

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  17. Centre of the circle 2x^(2) + 2y^(2) -x = 0 is :

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  18. For the circle x^(2) + y^(2) = 25, the point (-2.5, 3.5) lies :

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  19. (i) Centre of the circle x^(2) + y^(2) - 8x + 10 y + 12 = 0 is Cen...

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  20. Length of the semi-latus -rectum of parabola : x^(2) = -16y is :

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