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The parabola y=x^2+p x+q cuts the straig...

The parabola `y=x^2+p x+q` cuts the straight line `y=2x-3` at a point with abscissa 1. Then the value of `pa n dq` for which the distance between the vertex of the parabola and the x-axis is the minimum is (a) `p=-1,q=-1` (b) `p=-2,q=0` (c) `p=0,q=-2` (d) `p=3/2,q=-1/2`

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
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  2. If line P Q , where equation is y=2x+k , is a normal to the parabola w...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. The tangent PT and the normal PN to the parabola y^2=4ax at a point P...

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