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Find the locus of the midpoint of normal...

Find the locus of the midpoint of normal chord of parabola `y^2=4ax`

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Show that the locus of the middle point of all chords of the parabola y^2 = 4ax passing through a fixed point (h, k) is y^2 - ky=2a(x-h) .

Prove that the locus of the middle points of all chords of the parabola y^2 = 4ax passing through the vertex is the parabola y^2 = 2ax .

Prove that the locus of mid-point of focal chords of parabola y^(2)=4ax "is" y^(2)=2a(x-a) .

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.

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.

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.

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If the distance of the point (alpha,2) from its chord of contact w.r.t...

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  2. T P and T Q are tangents to the parabola y^2=4a x at P and Q , respect...

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  3. Find the locus of the midpoint of normal chord of parabola y^2=4ax

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  4. If normal to the parabola y^2-4a x=0 at alpha point intersects the par...

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  5. If the parabolas y^2=4a x and y^2=4c(x-b) have a common normal other t...

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  6. Find the angle made by a double ordinate of length 8a at the vertex of...

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  7. The cable of a uniformly loaded suspension bridge hangs in the form of...

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  8. If the chord of contact of tangents from a point P to the parabola y^2...

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  9. Tangents are drawn from any point on the line x+4a=0 to the parabola y...

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  10. If a normal to a parabola y^2 =4ax makes an angle phi with its axis, t...

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  11. Tangents are drawn to the parabola y^2=4a x at the point where the lin...

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  12. Find the vertex of the parabola x^2=2(2x+y).

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  13. Find the length of the common chord of the parabola y^2=4(x+3) and th...

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  14. Find the coordinates of any point on the parabola whose focus is (0, 1...

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  15. If the focus and vertex of a parabola are the points (0, 2) and (0, 4)...

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  16. Find the length of the latus rectum of the parabola whose focus is at ...

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  17. The focal chord of the parabola y^2=a x is 2x-y-8=0 . Then find the eq...

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  18. The vertex of a parabola is (2, 2) and the coordinats of its two ex...

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  19. Find the equation of the directrix of the parabola x^2-4x-3y+10=0.

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  20. Find the locus of the midpoint of chords of the parabola y^2=4a x that...

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