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The locus of the middle points of the fo...

The locus of the middle points of the focal chords of the parabola, `y^2=4x` is:

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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.

The locus of the midpoints of all chords of the parabola y^(2) = 4ax through its vertex is another parabola with directrix is

The locus of middle points of a family of focal chord of the parabola y^(2) =4 ax is-

Prove that the the middle points of the normal chords of the parabola y^(2)=4ax is on the curve (y^(2))/(2a)+(4a^(3))/(y^(2))=x-2a

Show that the locus of the middle points of chords of the parabola y^(2) = 4ax passing through the vertex is the parabola y^(2) = 2ax

Show that the locus of the middle points of chords of the parabola y^(2) = 4ax passing through the vertex is the parabola y^(2)= 2ax .

Find the locus of the midpoint of the chords of the parabola y^2=4ax .which subtend a right angle at the vertex.

Find the equation of the locus of the middle points of the chords of the hyperbola 2x^2-3y^2=1, each of which makes an angle of 45^0 with the x-axis.

Find the locus of the midpoint of chords of the parabola y^2=4a x that pass through the point (3a ,a)dot

Find the locus of the midpoint of normal chord of parabola y^2=4a xdot

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. If the length of the common chord of circle x^2+y^2=4 and y^2=4(x-h) i...

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  2. From a variable point p on line 2x−y-1=0 pair of tangents are draw...

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  3. The locus of the middle points of the focal chords of the parabola, y^...

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  4. If the distance of the point (h,2) from its chord of contact w.r.t. pa...

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  5. TP and TQ are tangents to the parabola, y^(2)=4ax at P and Q. If the c...

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  6. Find the locus of midpoint of normal chord of parabola y^(2)=4ax.

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

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

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

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

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

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

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

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  14. Tangents are drawn to y^(2)=4ax at point where the line lx+my+n=0 meet...

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

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

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

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

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

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

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