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Find the locus of the point of intersection of the normals at the end of the focal chord of the parabola `y^(2)=4ax`.

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. If a focal chord of y^(2)=4ax makes an angle alphain[pi//4,pi//2] with...

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  2. Find the length of normal chord which subtends an angle of 90^(@) at t...

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  3. Find the locus of the point of intersection of the normals at the end ...

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  4. If AB is a focal chord of x^(2)-2x+y-2=0 whose focus is S and AS=l(1),...

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  5. A circle is drawn to pass through the extermities of the latus rcetum ...

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  6. Circle drawn having its diameter equal to the focal distance of any po...

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  7. If the length of a focal chord of the parabola y^2=4a x at a distance ...

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  8. Find the equation of the parabola whose focus is S(-1,1) and directrix...

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  9. If x^2 + y^2 = log(xy) , find dy/dx .

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  10. If (2,-8) is an end of a focal chord of the parabola y^(2)=32x, then f...

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  11. Prove that the length of the intercept on the normal at the point P(at...

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  12. Find the minimum distance between the curves y^2=4x and x^2+y^2-12 x+3...

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  13. If y=2x+3 is a tangent to the parabola y^(2)=24x, then find its distan...

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  14. Three normals to y^2=4x pass through the point (15, 12). Show that one...

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  15. Find the locus of the point from which the two tangents grawn to the p...

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  16. Find the angle between the tangents drawn from the origin to the parab...

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  17. Find the locus of the point of intersection of the perpendicular tange...

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  18. Three normals are drawn from the point (7,14) to the parabola x^(2)-8x...

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

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

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