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Find the area of the triangle formed by the lines joining the vertex of he parabola `x^2=12 y` to the ends of its latus-rectum.

A

12 sq. units

B

16 sq. units.

C

18 sq. units

D

24 sq. units.

Text Solution

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The correct Answer is:
C
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MODERN PUBLICATION-CONIC SECTIONS -OBJECTIVE TYPE QUESTIONS (MULTIPLE CHOICE QUESTIONS )
  1. If the parabola y^2=4a x\ passes through the point (3,2) then find th...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. The focus of the parabola y^(2) = - 4ax is :

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  20. The length of latus-rectum of parabola x^(2) = - 16 y is :

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