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Prove that the chord y-xsqrt(2)+4asqrt(2...

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

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CENGAGE ENGLISH-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 y-xsqrt(2)+4asqrt(2)=0 is a normal chord of the p...

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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 straight lines touching both x^2+y^2=2a^2 and...

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

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  7. Two straight lines (y-b)=m1(x+a) and (y-b)=m2(x+a) are the tangents of...

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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. Tangent are drawn from the point (-1,2) on the parabola y^2=4x . Find ...

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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 Aa n dT B are drawn to y^2=4a x . Th...

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  13. Tangent P Aa n dP B are drawn from the point P on the directrix of the...

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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 ( ...

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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 a parabola is along the line y=x and the distance of its v...

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  18. If the normal chord of the parabola y^(2)=4x makes an angle 45^(@) wit...

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  19. If the normals at points t1 and t2 meet on the parabola, then (a) t1...

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

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