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Find the length of the normal chord whic...

Find the length of the normal chord which subtends an angle of `90^@` at the vertex of the parabola `y^2=4x` .

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If the line passing through the focus S of the parabola y=a x^2+b x+c ...

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  2. If a focal chord of y^2=4a x makes an angle alpha in [0,pi/4] with the...

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  3. Find the length of the normal chord which subtends an angle of 90^@ at...

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

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  5. The abscissa and ordinates of the endpoints Aa n dB of a focal chord o...

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  6. If A B is a focal chord of x^2-2x+y-2=0 whose focus is S and A S=l1, t...

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  7. A circle is drawn to pass through the extremities of the latus rectum ...

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  8. Circles drawn on the diameter as focal distance of any point lying on...

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

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

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

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

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

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

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

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

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  17. Find the locus of the point from which the two tangents drawn to the ...

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

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  19. Find the locus of the point of intersection of the perpendicular ta...

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

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