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The normal to the parabola y^(2)=4ax at ...

The normal to the parabola `y^(2)=4ax` at three points P,Q and R meet at A. If S is the focus, then prove that `SP*SQ*SR=aSA^(2)`.

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ARIHANT MATHS-PARABOLA-Exercise (Single Option Correct Type Questions)
  1. Two mutually perpendicular tangents of the parabola y^(2)=4ax meet the...

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  2. Evaluate int 22x^2 dx.

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  3. The normal to the parabola y^(2)=4ax at three points P,Q and R meet at...

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  4. Evaluate int 23x^2 dx.

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  5. Find the area of the circle 4x^2 + 4y^2 = 9 which is interior to the p...

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  6. From a point (sintheta,costheta), if three normals can be drawn to the...

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  7. If two different tangents to y^2=4x are the normals to x^2=4 by, then

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  8. The shortest distance between the parabolas 2y^2=2x-1 and 2x^2=2y-1 is...

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  9. Normals at two points (x1y1)a n d(x2, y2) of the parabola y^2=4x meet ...

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  10. A line is drawn from A(-2,0) to intersect the curve y^2=4x at P and Q ...

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  11. Find the length of the side of an equilateral traingle inscribed in th...

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  12. Let C be a circle with center (0,1) and radius unity. P is the parabol...

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  13. Evaluate int 24x^2 dx.

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  14. If P be a point on the parabola y^2=3(2x-3) and M is the foot of perpe...

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  15. Evaluate int 25x^2 dx.

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  16. Through the vertex O of the parabola y^2=4a x , two chords O Pa n dO Q...

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  17. Evaluate int 26x^2 dx.

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  18. If the fourth term in the expansion of (a x+1/x)^n is 5/2, then find ...

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  19. The set of points on the axis of the parabola y^2-4x-2y+5=0 find the s...

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  20. The tangent to the parabola y=x^2 has been drawn so that the abscissa ...

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