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An equilateral triangle is inscribed in ...

An equilateral triangle is inscribed in ` y^(2) = 8x ` so that one angular point of the triangle is at the vertex of the parabola . Length of side of this triangle is

A

`4sqrt(3)`

B

`8sqrt(3)`

C

`16sqrt(3)`

D

`12sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
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MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. If focal distance of a point P on y^(2) = 8x is 4, then P is

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  2. If focal distance of point P on y^(2) = 4x is 6, then P is

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  3. An equilateral triangle is inscribed in y^(2) = 8x so that one angul...

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  4. If (4,0) is the vertex , and Y-axis the directrix of a parabola , then...

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  5. The angle subtended by the double ordinate of length 8a of the parabol...

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  6. If points (au^(2), 2au)'" and " (av^(2) , 2av) are ends of a focal c...

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  7. A circle centred at the vertex of parabola x^(2) = 4y intersects it ...

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  8. If P S Q is a focal chord of the parabola y^2=8x such that S P=6 , the...

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  9. If ASB is a focal chord of a parabola such that AS = 2 and SB = 4 , th...

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  10. If a parabole y^(2) = 4ax passes through (2,-6), then its latus-rectu...

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  11. Equation of directrix of parabola 5y^(2) = 4x is

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

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  13. If (x(1) ,y(1))" and " (x(2) , y(2)) are ends of a chord of y^(2) = ...

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  14. If P(2,8) is one end of the focal chord PQ of the parabola (8t^(2),...

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  15. If (x(1) , y(1)) " and " (x(2), y(2)) are ends of a focal chord of pa...

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  16. Write the length of het chord of the parabola y^2=4a x which passes th...

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  17. If the focal distance of a point on the parabola y^(2) = 8x is 4,...

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  18. If (4,0) is the vertex , and Y-axis the directrix of a parabola , then...

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  19. If ASB is a focal chord of a parabola such that AS = 2 and SB = 4 , th...

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  20. Equation of the directrix of the parabola 5y^(2) = 4x is

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