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If line P Q , where equation is y=2x+k ,...

If line `P Q` , where equation is `y=2x+k` , is a normal to the parabola whose vertex is `(-2,3)` and the axis parallel to the x-axis with latus rectum equal to 2, then the value of `k` is

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Let P be the family of parabolas y=x^2+p x+q ,(q!=0), whose graphs cut...

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  2. If normal at point P on the parabola y^2=4a x ,(a >0), meets it again ...

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  3. If line P Q , where equation is y=2x+k , is a normal to the parabola w...

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  4. The parabola y=x^2+p x+q cuts the straight line y=2x-3 at a point with...

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  5. Tangent is drawn at any point (p ,q) on the parabola y^2=4a xdot Tange...

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  6. The equation of the directrix of the parabola with vertex at the origi...

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  7. Tangent is drawn at any point (x1, y1) other than the vertex on the pa...

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  8. The angle between the tangents to the curve y=x^2-5x+6 at the point (2...

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  9. Statement 1: If the parabola y^2=4a x and the circle x^2+y^2+2b x=0 to...

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  10. If a line y=3x+1 cuts the parabola x^2-4x-4y+20=0 at A and B , then th...

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  11. P(x , y) is a variable point on the parabola y^2=4a x and Q(x+c ,y+c) ...

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  12. If a and c are the lengths of segments of any focal chord of the parab...

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  13. AB is a chord the parabola y^(2)=4ax with vertex A. BC is drawn perpen...

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  14. Set of value of alpha for which the point (alpha,1) lies inside the ci...

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  15. If P is a point on the parabola y^(2)=3(2x-3) and M is the foot perpen...

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  16. If y=m x+c touches the parabola y^2=4a(x+a), then (a)c=a/m (b) c=a m...

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  17. The angle between the tangents to the paranola y^(2)=4ax at the points...

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  18. The area of the triangle formed by the tangent and the normal to the ...

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  19. Double ordinate A B of the parabola y^2=4a x subtends an angle pi/2 at...

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  20. Statement 1: The normals at the points (4, 4) and (1/4,-1) of the para...

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