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If two of the three feet of normal drawn...

If two of the three feet of normal 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 PUBLICATION-CONIC SECTIONS-All Questions
  1. LOL' and MOM' are two chord of parabola y^(2)=4ax with vertex A passin...

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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 normal drawn from a point to the parabola ...

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  4. If three distinct normals to the parabola y^(2)-2y=4x-9 meet at point ...

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  5. Find the locus of the point of intersection of two normals to a parabo...

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  6. P(t(1))andQ(t(2)) are points t(1)andt(2) on the parabola y^(2)=4ax. ...

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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=ax^(2)+bx+c ...

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  10. If a focal chord of y^(2)=4ax makes an angle alphain[pi//4,pi//2] with...

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

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

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

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

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

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

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

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

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

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