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Show that the tangent to the parabola y^...

Show that the tangent to the parabola `y^2=4ax` at the point (a' , b') is perpendicular to the tangnet at the point `(a^2/a' ,-4a^2/b')`.

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MBD PUBLICATION-CONIC SECTIONS-QUESTION BANK
  1. Find the equation of tangents and normals to the parabola y^2=4ax at t...

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  2. Find the equtions of tangent and normals to the parabola y^2=4ax at th...

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  3. Show that the tangent to the parabola y^2=4ax at the point (a' , b') i...

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  4. A tangent to the parabola y^2=8x makes an angle 45^@ with the line 3x-...

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  5. Prove that for all values of k the line y=k(x+a)+a/k is a tangent to t...

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  6. obtain the condition that the line lx+my+n=0 will touch the parabola y...

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  7. Prove that the line 4x-2y-1=0 touches the parabola whose focus it at (...

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  8. If (-2,0) and (2,0) are the two vertices of a triangle with perimeter ...

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  9. A point in a plane is such that the sum of its distances from the poin...

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  10. Obtain the equation of the elllipse which has its centre at origin a f...

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  11. Find the equation of the ellipse which has its centre at (-1,4)b eccen...

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  12. Find the equation of tangent and normal to the ellipse x^2/16+y^2/9=1 ...

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  13. Find the equations of tangents and normals to the ellipse 2x^2+3y^2=6 ...

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  14. Prove that the line y=2x+5 is a tangent to the ellipse 9x^2+4y^2=36 an...

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  15. Find the equation of the tangent to the ellipse 4x^2+5y^2=20 which are...

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  16. Find the equation of the tangent to the ellipse 4x^2+9y^2=1 which are ...

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  17. Prove that the line xcosalpha+ysinalpha=p touches the ellipse(x^2/a^2+...

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  18. Prove that the product of the distances of the foci from any tangent t...

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  19. Find the equation of the hyperbola which has its foci at (0,0) and (0,...

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  20. Find the equation of the hyperbola with foci at (+-3,0) and directrice...

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