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Prove that the chord ysqrt(2)x+4asqrt(2)...

Prove that the chord `ysqrt(2)x+4asqrt(2)=0` is a normal chord of the parabola `y^(2)=4ax`. Also, find the point on the parabola where the given chord is normal to the parabola.

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. If the vertex of a parabola is the point (-3,0) and the directrix is t...

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  2. The chord A B of the parabola y^2=4a x cuts the axis of the parabola a...

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  3. Prove that the chord ysqrt(2)x+4asqrt(2)=0 is a normal chord of the pa...

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  4. Find the point on the curve y^2=a x the tangent at which makes an angl...

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  5. Find the equation of the common tangents to y^2 = 8ax and x^2 + y^2 = ...

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  6. Find the points of contact Q and R of tangents from the point P (2,3) ...

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  7. Two straight lines (y-b) =m(1)(x+a)and(y-b)=m(2)(x+a) are the tangents...

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  8. A pair of tangents are drawn to the parabola y^2=4a x which are equall...

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  9. Tangents are drawn from the point (-1,2) on the parabola y^(2)=4x. Fin...

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  10. Tangents are drawn to the parabola (x-3)^2+(y+4)^2=((3x-4y-6)^2)/(25) ...

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  11. Find the locus of point of intersection of tangents to the parabola y^...

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  12. Mutually perpendicular tangents T A and T B are drawn to y^2=4a x . T...

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  13. Tangents PA and PB are drawn from point P on the directrix to the para...

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  14. A square has one vertex at the vertex of the parabola y^2=4a x and the...

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  15. P ,Q , and R are the feet of the normals drawn to a parabola (y-3)^2=8...

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  16. The equation of the line that passes through (10 ,-1) and is perpendic...

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  17. The axis of parabola is along the line y=x and the distance of its ver...

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  18. The locus of the circumcenter of a variable triangle having sides the ...

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  19. If the normals at P(t(1))andQ(t(2)) on the parabola meet on the same p...

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

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