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If P is a point on the parabola y^(2)=3(...

If P is a point on the parabola `y^(2)=3(2x-3)` and M is the foot perpendicular drawn from P on the directrix of the parabola, then the length of each side of the equilateral triangle SMP, where S is the focus of the parabola, is

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If P be a point on the parabola y^2=3(2x-3) and M is the foot of perpendicular drawn from the point P on the directrix of the parabola, then find length of each sides of an equilateral triangle SMP(where S is the focus of the parabola).

M is the foot of the perpendicular from a point P on a parabola y^2=4a x to its directrix and S P M is an equilateral triangle, where S is the focus. Then find S P .

The-equation of the directrix of the parabola 2x^2=3y is

The focus of the parabola y = 2x^(2) + x is

The focus of the parabola y = 2x^(2) + x is

The focus of the parabola y = 2x^(2) + x is

Find the focus of the parabola (y-3)^2=6(x-2)

An equilateral triangle is inscribed in the parabola y^(2)=4ax , where one vertex is at the vertex of the parabola. Find the length of the side of the triangle.

Equation of directrix of a parabola 2x^2=3y is

An equilateral teiangle is inscribed in the parabola y^(2)=x whose one vertex is the vartex of the parabola. Then the length of a side of the triangle is-

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. AB is a chord the parabola y^(2)=4ax with vertex A. BC is drawn perpen...

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  2. Set of value of alpha for which the point (alpha,1) lies inside the ci...

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  3. If P is a point on the parabola y^(2)=3(2x-3) and M is the foot perpen...

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  4. If y=m x+c touches the parabola y^2=4a(x+a), then (a)c=a/m (b) c=a m...

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  5. The angle between the tangents to the paranola y^(2)=4ax at the points...

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  6. The area of the triangle formed by the tangent and the normal to the ...

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  7. Double ordinate A B of the parabola y^2=4a x subtends an angle pi/2 at...

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  8. Statement 1: The normals at the points (4, 4) and (1/4,-1) of the para...

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  9. Let A and B two distinct points on the parabola y^(2)=4x. If the axis ...

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  10. The equations of the common tangents to the parabola y = x^2 and y=-...

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  11. Let (x,y) be any point on the parabola y^2 = 4x. Let P be the point t...

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  12. The common tangents to the circle x^2 + y^2 =2 and the parabola y^2 = ...

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  13. If two distinct chords of a parabola y^2=4ax , passing through (a,2a) ...

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  14. The point of intersection of the tangents of the parabola y^(2)=4x dra...

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  15. Which of the following lines can be normal to parabola y^(2)=12x ?

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  16. Which of the following line can be tangent to the parabola y^(2)=8x ?

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  17. The locus of the midpoint of the midpoint of the focal distance of a v...

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  18. A quadrilateral is inscribed in a parabola. Then

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  19. A normal drawn to the parabola y^2=4a x meets the curve again at Q suc...

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  20. The parabola y^2=4x and the circle having its center at (6, 5) interse...

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