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Statement 1: The line x-y-5=0 cannot be ...

Statement 1: The line `x-y-5=0` cannot be normal to the parabola `(5x-15)^2+(5y+10)^2=(3x-4y+2)^2dot` Statement 2: Normal to parabola never passes through its focus.

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If the focus of the parabola x^2-k y+3=0 is (0,2), then a values of k ...

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  2. Let P be a point whose coordinates differ by unity and the point does ...

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  3. Statement 1: The line x-y-5=0 cannot be normal to the parabola (5x-15)...

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  4. If (h ,k) is a point on the axis of the parabola 2(x-1)^2+2(y-1)^2=(x+...

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  5. Column I, Column II Points from which perpendicular tangents can...

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  6. Consider the parabola y^2=12 x Column I, Column II Equation of ta...

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

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

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

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

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

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

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

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

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

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

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

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

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