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If the area of the triangle whose one vertex is at the vertex of the parabola, `y^(2) + 4 (x - a^(2)) = 0` and the other two vertices are the points of intersection of the parabola and Y-axis, is 250 sq units, then a value of 'a' is

A

`5sqrt5`

B

`5(2^(1//3))`

C

`(10)^(2//3)`

D

5

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The correct Answer is:
D
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MCGROW HILL PUBLICATION-PARABOLA-QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
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  2. A chord is drawn through the focus of the parabola y^(2)=6x such that ...

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  3. Let O be the vertex and Q be any point on the parabola,x^2=""8y . I...

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  4. Let PQ be a double ordinate of the parabola, y^2=-4x where P lies in t...

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  5. If the tangent to the conic, y - 6= x^2 at (2, 10) touches the circle,...

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  6. Let P be the point on the parabola, y^2=8x which is at a minimum dis...

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  7. The minimum distance of a point on the curve y=x^2 -4 from the origin ...

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  8. P and Q are two distinct points on the parabola, y^2 = 4x with paramet...

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  9. If the common tangents to the parabola x^2 = 4y and the circle x^2 + y...

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  10. If y=mx+c is the normal at a point on the parabola y^(2)=8x whose foca...

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  11. The radius of a circle, having minimum area, which touches the curve y...

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  12. Tangent and normal are drawn at P(16,16) on the parabola y^2=16x which...

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  13. Two parabola with a coomon vertex and with axes along x-axis and y-ax...

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  14. Axis of a parabola lies along x-axis. If its vertex and focus are at d...

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  15. The length of the chord of the parabola x^(2) = 4y having equations x ...

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  16. If the parabolas y^2 = 4b (x - c) " and " y^2 = 8ax have a common t...

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  17. Let A(4,-4) and B(9,6) be points on the parabola y^(2)=4x. Let C b...

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  18. Equation of a common tangent to the circle x^(2)+y^(2)-6x=0 and the pa...

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  19. If the area of the triangle whose one vertex is at the vertex of the p...

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  20. Equation of a common tangent to the parabola y^(2)=4x and the hyperbol...

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