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

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Three normals are drawn from the point (7,14) to the parabola x^(2)-8x...

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  2. Find the equation of normaly to the parabola y=x^(2)-x-1 which has equ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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