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An equilateral triangle `S A B` is inscribed in the parabola `y^2=4a x` having its focus at `Sdot` If chord `A B` lies towards the left of `S ,` then the side length of this triangle is `2a(2-sqrt(3))` (b) `4a(2-sqrt(3))` `a(2-sqrt(3))` (d) `8a(2-sqrt(3))`

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If normal are drawn from a point P(h , k) to the parabola y^2=4a x , t...

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  2. If x+y=k is normal to y^2=12 x , then k is (a)3 (b) 9 (c) -9 (d) -3

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  3. An equilateral triangle S A B is inscribed in the parabola y^2=4a x ...

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  4. min[(x1-x2)^2+(5+sqrt(1-x1^2)-sqrt(4x2))^2],AAx1,x2 in R , is (a)4sqr...

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  5. The equation of the directrix of the parabola y^2+4y+4x+2=0 is (a)x=-1...

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  6. The equation of the common tangent touching the circle (x-3)^2+y^2=9 ...

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  7. At what point on the parabola y^2=4x the normal makes equal angle with...

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  8. The focal chord to y^2=16 x is tangent to (x-6)^2+y^2=2. Then the poss...

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  9. If the normals to the parabola y^2=4a x at three points P ,Q ,a n dR m...

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  10. The locus of the midpoint of the segment joining the focus to a moving...

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  11. The curve described parametrically by x=t^2+t+1 , and y=t^2-t+1 repres...

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  12. Statement 1: The line y=x+2a touches the parabola y^2=4a(x+a) Stateme...

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  13. Consider a circle with its centre lying on the focus of the parabola, ...

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  14. Normal drawn to y^2=4a x at the points where it is intersected by the...

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  15. The radius of the circle touching the parabola y^2=x at (1, 1) and ha...

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  16. Maximum number of common normals of y^2=4ax and x^2=4by is

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  17. If two different tangents of y^2=4x are the normals to x^2=4b y , then...

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  18. The largest value of a for which the circle x^2+y^2=a^2 falls totally ...

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  19. A ray of light travels along a line y=4 and strikes the surface of cur...

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  20. A set of parallel chords of the parabola y^2=4a x have their midpoint ...

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