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Show that the focal chord, of parabola y...

Show that the focal chord, of parabola `y^2 = 4ax`, that makes an angle `alpha` with the x-axis is of length `4a cosec^2 alpha`.

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The correct Answer is:
`4a cosec^2a`.
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Statement 1: The length of focal chord of a parabola y^2=8x making on an angle of 60^0 with the x-axis is 32. Statement 2: The length of focal chord of a parabola y^2=4a x making an angle with the x-axis is 4acos e c^2alpha

The length of a focal chord of the parabola y^2=4ax making an angle theta with the axis of the parabola is (a> 0) is :

Length of the focal chord of the parabola y^2=4ax at a distance p from the vertex is:

Length of the shortest normal chord of the parabola y^2=4ax is

If the normal chord of the parabola y^(2)=4x makes an angle 45^(@) with the axis of the parabola, then its length, is

A normal chord of the parabola y^2=4ax subtends a right angle at the vertex if its slope is

If a normal to a parabola y^2 =4ax makes an angle phi with its axis, then it will cut the curve again at an angle

If x-2y-a=0 is a chord of the parabola y^(2)=4ax , then its langth, is

IF P_1P_2 and Q_1Q_2 two focal chords of a parabola y^2=4ax at right angles, then

The locus of the point through which pass three normals to the parabola y^2=4ax , such that two of them make angles alpha&beta respectively with the axis & tanalpha *tanbeta = 2 is (a > 0)

ARIHANT MATHS ENGLISH-PARABOLA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Show that the focal chord, of parabola y^2 = 4ax, that makes an angle ...

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  2. about to only mathematics

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  3. Let P be the point (1,0) and Q be a point on the locus y^(2)=8x. The l...

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  4. The axis of a parabola is along the line y=x and the distance of its v...

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  5. about to only mathematics

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  6. The locus of the vertex of the family of parabolas y=(a^3x^2)/3+(a^(2x...

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  7. The angle between the tangents to the curve y=x^2-5x+6 at the point (2...

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  8. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  9. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  10. Find slope of tangent to the curve if equation is x^2 + y^2 = 9

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  11. Statement 1 : The curve y=-(x^2)/2+x+1 is symmetric with respect to th...

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  12. The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+...

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  13. Consider two curves C1:y^2=4x ; C2=x^2+y^2-6x+1=0. Then, a. C1 and C2 ...

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  14. If a parabola has the origin as its focus and the line x = 2 as the ...

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  15. about to only mathematics

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  16. Let A and B be two distinct points on the parabola y^2=4x. If the ax...

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  17. If two tangents drawn from a point P to the parabola y2 = 4x are at ri...

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  18. about to only mathematics

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  19. about to only mathematics

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  20. about to only mathematics

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  21. about to only mathematics

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