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Find the locus of the middle points of the chords of the parabola `y^2=4a x` which subtend a right angle at the vertex of the parabola.

A

`y^2-2ax+8a^2=0`

B

`y^2=a(x-4a)`

C

`y^2=4a(x-4a)`

D

`y^2+3ax+4a^2=0`

Text Solution

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The correct Answer is:
A
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ARIHANT MATHS ENGLISH-PARABOLA-Exercise For Session 2
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  2. The set of points on the axis of the parabola y^2-4x-2y+5=0 from which...

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  3. Prove that any three tangents to a parabola whose slopes are in harmon...

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  4. prove that the locus of the point of intersection of the tangents at t...

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  5. Find the equation of the normal to the parabola y^2=4x which is para...

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  6. Find the equation of the normal to the parabola y^2=4x which is perp...

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  7. The ordinates of points P and Q on the parabola y^2=12x are in the rat...

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  8. The normals at P, Q, R on the parabola y^2 = 4ax meet in a point on th...

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  9. Three normals are drawn from (2lamda,0) to the parabola y^2=4x .Show t...

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  10. If m1,m2 are the slopes of the two tangents that are drawn from (2,3) ...

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  11. Find the angle between the tangents drawn from the origin to the pa...

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  12. If (a , b) is the midpoint of a chord passing through the vertex of th...

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  13. The diameter of the parabola y^2=6x corresponding to the system of par...

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  14. Tangents are drawn from the point (-1, 2) to the parabola y^2 =4x The ...

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  18. The locus of the point of intersection of the tangents to the parabola...

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