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AB is a chord of the parabola y^2 = 4ax ...

AB is a chord of the parabola `y^2 = 4ax` with its vertex at A. BC is drawn perpendicular to AB meeting the axis at C.The projecton of BC on the axis of the parabola is

A

a

B

2a

C

4a

D

8a

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The correct Answer is:
C
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MCGROW HILL PUBLICATION-PARABOLA-SOLVED EXAMPLES LEVEL-1 (single correct answer type questions )
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  2. The tangent at the point P(x1, y1) to the parabola y^2 = 4 a x meets t...

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  3. AB is a chord of the parabola y^2 = 4ax with its vertex at A. BC is dr...

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  4. The equation of the common tangent touching the circle (x-3)^2+y^2=9 a...

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  5. The point of intersetion of the tangents to the parabola y^2=4x at the...

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  6. Equation of the directrix of the parabola y^(2)+4x+2=0 is

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  7. If x+y=k is a normal to the parabola y^(2)=12x, then the value of k is...

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  8. If a normal chord at a point on the parabola y^(2)=4ax subtends a righ...

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  9. The slopes of the normals to the parabola y^2=4ax intersecting at a p...

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  10. If the focus of a parabola divides a focal chord in segments of lengt...

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  11. P is a point on the parabola whose ordinate equals its abscissa. A nor...

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  12. the equation of the parabola whose focus is the point (0,0) and the ta...

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  13. The common tangent to the circle x^(2)+y^(2)=a^(2)//2 and the parabola...

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  14. The locus of the vertices of the family of parabolas y =[a^3x^2]/3 + [...

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

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

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  17. The shortest distance between the lines y-x=1 and the curve x=y^2 is

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  18. If a!=0 and the line 2bx+3cy+4d=0 passes through the points of interse...

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  19. The locus of a point P(alpha beta) moving under the condition that the...

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  20. The point of intersection of the normals to the parabola y^2=4x at the...

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