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If two of the three feet of normals draw...

If two of the three feet of normals drawn from a point to the parabola `y^2=4x` are (1, 2) and `(1,-2),` then find the third foot.

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. L O L ' and M O M ' are two chords of parabola y^2=4a x with vertex A ...

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  2. If (a ,b) is the midpoint of a chord passing through the vertex of the...

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  3. If two of the three feet of normals drawn from a point to the parabola...

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  4. If three distinct normals can be drawn to the parabola y^2-2y=4x-9 fro...

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  5. Find the locus of thepoint of intersection of two normals to a parabol...

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  6. P(t1) and Q(t2) are the point t1a n dt2 on the parabola y^2=4a x . The...

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  7. Prove that the locus of the point of intersection of the normals at th...

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  8. Find the number of distinct normals that can be drawn from (-2,1) to t...

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  9. If the line passing through the focus S of the parabola y=a x^2+b x+c ...

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

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

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

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

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

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

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

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

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

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

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