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An equilateral is inscribed in the parab...

An equilateral is inscribed in the parabola `y^(2)=8x` with one of its vertices is the vertex of the parabola. Then the length of the side of that triangle is

A

`24sqrt(3)`

B

`16sqrt(3)`

C

`8sqrt(3) `

D

`4sqrt(3)`

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-PARABOLA-EXERCISE 1 A
  1. The coordinates of the parabola y^(2)=2x whose focal distance is 5/2 a...

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  2. The point on the parabola y^(2)=36x whose ordinate is three times its ...

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  3. An equilateral is inscribed in the parabola y^(2)=8x with one of its v...

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  4. If Q is the foot of the perpendicular from a point p on the parabola y...

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  5. L and L are the ends of the latus rectum of the parabola x^(2)=6y. The...

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  6. The coordinates of an endpoint of the latusrectum of the parabola y^(2...

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

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  8. If 2x+y+a=0 is a focal chord of the parabola y^(2)+8x=0 then a =

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  9. PQ is a double ordinate of the parabola y^(2)+4x . The locus of its po...

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  10. The ratio in which the line segment joining the points (4,-6) and (3,1...

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  11. The number of point of intersection of the circle x^(2)+y^(2)=2ax with...

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  12. If a ne0 and the line 2bx+3cy+4d =0 passes through the points of inter...

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  13. Which of the following equations represents a parabola

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  14. The equation of the tangent to the parabola y^(2)=12x at (3,-6) is

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  15. The equation of the tangent to the parabola x^(2)=4y at (-2,1) is

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  16. The equation of the tangent to the parabola y^(2)=4x at the end of the...

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  17. The equation of the tangent to the parabola y^(2)=8x inclined at 30^(@...

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  18. The equation to the normal to the parabola y^(2)=4x at (1,2) is

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  19. The equation of the normal to the curve x^(2)=4y at (1,2) is

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  20. The line x+y= 6 is a normal to the parabola y^(2)=8x at the point

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