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The set of points on the axis of the par...

The set of points on the axis of the parabola `y^2=4x+8` from which the three normals to the parabola are all real and different is (a) `{(k ,0)"|"klt=-2}` (b) `{(k ,0)"|"kgt=-2}` (c) `{(0, k)"|"k gt=-2}` (d) none of these

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
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  2. The normal at the point P(ap^2, 2ap) meets the parabola y^2= 4ax again...

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  3. The set of points on the axis of the parabola y^2=4x+8 from which the ...

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  4. Which one of the following equation represent parametric equation to a...

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  6. The curve represented by the equation sqrt(p x)+sqrt(q y)=1 where p ,q...

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  7. Prove that the equation of the parabola whose focus is (0, 0) and tang...

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  8. A parabola is drawn touching the axis of x at the origin and having it...

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  9. The equation of the parabola whose vertex and focus lie on the axis of...

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  10. Prove that for a suitable point P on the axis of the parabola, chord A...

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  11. Two parabolas have the same focus. If their directrices are the x- and...

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  13. Find the equation of the curve whose parametric equations are x=1+4c...

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  14. Prove that any point on the ellipse whose foci are (-1,0) and (7,0)...

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  15. Find the eccentric angle of a point on the ellipse (x^2)/6+(y^2)/2=...

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  16. Find the area of the greatest rectangle that can be inscribed in an ...

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  17. The auxiliary circle of a family of ellipses passes through the ori...

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  18. Find the number of rational points on the ellipse (x^2)/9+(y^2)/4=1.

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  19. A line passing through the origin O(0,0) intersects two concentric ...

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  20. If the line l x+m y+n=0 cuts the ellipse ((x^2)/(a^2))+((y^2)/(b^2)...

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