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prove that the locus of the point of int...

prove that the locus of the point of intersection of the tangents at the extremities of any chord of the parabola `y^2 = 4ax` which subtends a right angle at the vertes is `x+4a=0`.

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The correct Answer is:
x+4a=0
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ARIHANT MATHS-PARABOLA-Exercise For Session 2
  1. The normals at three points P,Q,R of the parabola y^2=4ax meet in (h,k...

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

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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. The angle between the tangents drawn from the origin to the parabola y...

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  12. IF (a,b) is the mid point of chord passing through the vertex of the p...

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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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  15. for parabola x^2+y^2+2xy−6x−2y+3=0, the focus is (a) (1,-1) (b) (-1,1...

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  16. Find the locus of the mid-points of the chords of the parabola y^2=4ax...

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  17. A ray of light moving parallel to the X-axis gets reflected from a par...

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

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  19. The lacus of the middle points of the chords of the parabola y^(2)=4ax...

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

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