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Find the equations of normals to the parabola `y^(2)=4ax` at the ends of the latus rectum.

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Find the equations of normal to the parabola y^2=4a x at the ends of the latus rectum.

If the normals to the parabola y^2=4a x at the ends of the latus rectum meet the parabola at Qa n dQ^(prime), then Q Q ' is

The area of the triangle formed by the tangent and the normal to the parabola y^2=4a x , both drawn at the same end of the latus rectum, and the axis of the parabola is (a) 2sqrt(2)a^2 (b) 2a^2 4a^2 (d) none of these

The equation of the normal to the parabola y^(2) =4ax at the point (at^(2), 2at) is-

Find the equations of the tangent and normal to the parabola y^(2) = 4ax at the point (at^(2) , 2at).

If the normals of the parabola y^(2)=4x drawn at the end points of its latus rectum are tangents to the circle (x-3)^(2)+(y+2)^(2)=r^(2) , then the value of r^(2) is -

Find the area of the triangle formed by the lines joining the vertex of the parabola x^(2)=12y to the ends of its latus rectum.

If the normals of the parabola y^2=4x drawn at the end points of its latus rectum are tangents to the circle (x-3)^2+(y+2)^2=r^2 is

Find the equation of the normal to the parabola y^(2)=4ax at a point (x_(1),y_(1)) on it. Show that three normal can be drawn to a parabola from an external point.

Find the equation of line which is normal to the parabola x^(2)=4y and touches the parabola y^(2)=12x .

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Find the equation of normaly to the parabola y=x^(2)-x-1 which has equ...

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  2. If y=x+2 is normal to the parabola y^(2)=4ax, then find the value of a...

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  3. Find the equations of normals to the parabola y^(2)=4ax at the ends of...

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  4. The coordinates of the ends of a focal chord of the parabola y^2=4a x ...

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  5. If t(1)andt(2) are the parameter of the ends of the focal chord y^(2)=...

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  6. If the length of focal chord of y^(2)=4ax is l, then find the angle be...

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  7. If the length of focal PQ is 'l', and 'p' is the perpendicular distan...

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  8. Find the equation of the tangent to the parabola y^(2)=8x having slope...

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  9. Find the equations of the tangents of the parabola y^(2)=12x, which pa...

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  10. If line y=3x+c touches the parabola y^(2)=12 at point P, then find the...

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  11. Find the equation of the tangent to the parabola y=x^(2)-2x+3 at point...

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  12. Find the equation of the tangent to the parabola x=y^(2)+3y+2 having s...

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  13. Find the equation of tangents drawn to the parabola y=x^(2)-3x+2 from ...

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  14. If a tangent to the parabola y^(2)=4ax meets the x-axis at T and inter...

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  15. The parabola y^2=4x and the circle having its center at (6, 5) interse...

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  16. The tangents to the parabola y^(2)=4ax at the vertex V and any point P...

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  17. Show that xcosalpha+ysinalpha=p touches the parabola y^2=4a x if pcosa...

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  18. A tangent to the parabola y^(2)=8x makes an angle of 45^(@) with the s...

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  19. Find the equation of the common tangent of y^2=4a x and x^2=4a y.

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  20. If the lines L(1)andL(2) are tangents to 4x^(2)-4x-24y+49=0 and are no...

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