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If `(at^(2) , 2at)` be the coordinate of an extremity of a focal chord of the parabola `y^(2) =4ax,` then the length of the chord is-

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PATHFINDER-PARABOLA, ELLIPSE AND HYPERBOLA-QUESTION BANK
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  2. A parabola passes through the points (0.0) ,(2,2) and (-2,-6) and it...

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  3. If (at^(2) , 2at) be the coordinate of an extremity of a focal chord o...

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  4. The directrix of a parabola is x + y + 4 = 0 and vertix is the point (...

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  5. Show that the equation of the chord of the parabola y^2=4ax through th...

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  6. The pt. (2+4costheta, 1+2sintheta) represents the parametric coordinat...

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  8. The length of the latus rectum of the ellipse 2x^2+4y^2=16 is

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  9. The coordinates of the foci of the ellipse 20x^2+4y^2=5 are

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  10. The length of the semi-major axis of an ellipse is 13 and its eccentri...

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  11. The eccentricy of the ellipse x^2+4y^2+2x-24y+33=0 is

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  12. find the length of the latus rectum of the ellipse (x^(2))/(9) +(y^(...

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  13. The coordinates of the point on the ellipse 9x^(2) + 16y^(2) = 144 ...

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  14. If the distance between the foci of an ellipse is equal to the length ...

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  16. Find the eccentricity of the ellipse if the length of minor axis ...

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  17. The eccentricity of an ellipse whose distance between the foci is 4 an...

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  18. Taking major and minor axes as x and y - axes respectively , find the ...

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  19. Find the equation of the ellipse whose foci (0,+-4) and the equation o...

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  20. The eccentricity of an ellipse is (2)/(3) focus is S(5,4) and the ma...

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