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If a and c are the lengths of segments of any focal chord of the parabola `y^(2)=2bx,(bgt0)`, then the roots of the equation `ax^(2)+bx+c=0` are

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
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  2. P(x , y) is a variable point on the parabola y^2=4a x and Q(x+c ,y+c) ...

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

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

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

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

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

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

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

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

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  12. Let A and B two distinct points on the parabola y^(2)=4x. If the axis ...

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  13. The equations of the common tangents to the parabola y = x^2 and y=-...

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  14. Let (x,y) be any point on the parabola y^2 = 4x. Let P be the point t...

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  15. The common tangents to the circle x^2 + y^2 =2 and the parabola y^2 = ...

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  17. The point of intersection of the tangents of the parabola y^(2)=4x dra...

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  18. Which of the following lines can be normal to parabola y^(2)=12x ?

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  19. Which of the following line can be tangent to the parabola y^(2)=8x ?

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  20. The locus of the midpoint of the midpoint of the focal distance of a v...

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