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Let P be a point whose coordinates diffe...

Let `P` be a point whose coordinates differ by unity and the point does not lie on any of the axes of reference. If the parabola `y^2=4x+1` passes through `P ,` then the ordinate of `P` may be (a) 3 (b) `-1` (c) 5 (d) 1

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
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  3. Let P be a point whose coordinates differ by unity and the point does ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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