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Find the area of the triangle formed by the lines joining the vertex of the parabola `x^(2) = 8y` to the ends of its latus rectum.

A

8 sq. units

B

16 sq. units

C

4 sq. units

D

32 sq. units

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The correct Answer is:
A
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AAKASH INSTITUTE-CONIC SECTIONS-Assignment (SECTION - A)
  1. If the parabola y^(2) = 4ax passes through the point (4, 1), then the...

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  2. In the given figure, the area of the triangleOAF is

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  3. Find the area of the triangle formed by the lines joining the vertex o...

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  4. The focal distance of a point on the parabola y^2=12 xi s4. Find the a...

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  5. The area of the triangle formed by the lines joining the focus of the ...

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  6. The equation of the set of all points which are equidistant from the p...

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  7. The length of the major axis and minor axis of 9x^(2) + y^(2) = 36 res...

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  8. The co-ordinates of the vertices of the ellipse (X^(2))/(16) + (y^(2))...

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  9. The length of the latus rectum of 16x^(2) + y^(2) = 16 is

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  10. The relationship between, the semi-major axis, seimi-minor axis and th...

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  11. The eccentricty of an ellipse, the co-ordinates of whose vertices and...

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  12. The equation of the ellipse whose vertices and foci are (pm 3, 0) and ...

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  13. If P is a point on the ellipse (X^(2))/(9) + (y^(2))/(4) =1 whose ...

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

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  15. The equation of the ellipse whose length of the major axis is 10 units...

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  16. If the major axis of an ellipse is alongthe y-axis and it passes throu...

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  17. If the latus rectum of an ellipse with major axis along y-axis and cen...

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  18. The eccentricity of the ellipse x^(2) + 2y^(2) =6 is

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  19. If the length of the eccentricity of an ellipse is (3)/(8) and the d...

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  20. If the latus rectum of an ellipse is equal to half of the minor axis, ...

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