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Let P be the family of parabolas y=x^2+p...

Let `P` be the family of parabolas `y=x^2+p x+q ,(q!=0),` whose graphs cut the axes at three points. The family of circles through these three points have a common point (1, 0) (b) (0, 1) (c) (1, 1) (d) none of these

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Consider the parabola y^2=12 x Column I, Column II Equation of ta...

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  2. If the tangent at the point P(2,4) to the parabola y^2=8x meets the pa...

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  3. Let P be the family of parabolas y=x^2+p x+q ,(q!=0), whose graphs cut...

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

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

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

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

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

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

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

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

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

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

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  15. AB is a chord of the parabola y^2 = 4ax with its vertex at A. BC is dr...

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  16. The set of values of alpha for which the point (alpha,1) lies inside t...

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

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  18. 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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  19. The angle between the tangents to the parabola y^2=4a x at the points ...

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

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