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The point (2a, a) lies inside the region...

The point (2a, a) lies inside the region bounded by the parabola `x^(2) = 4y` and its latus rectum. Then,

A

`0 lt= a lt=1`

B

`0 lt a lt 1`

C

`a gt 1`

D

`a lt 0 `

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The correct Answer is:
B
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AAKASH SERIES-PARABOLA-EXERCISE- II
  1. The parabola (y+1)^(2)=a(x-2) passes through point (1,-2). The equaito...

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  2. lf L and L^(1) are ends or latusrectum of the parabola 9y^(2)= 4x then...

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  3. The point (2a, a) lies inside the region bounded by the parabola x^(2)...

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  4. The length or double ordinate of parabola ,y^(2) = 8x which subtends a...

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  5. An equilateral triangle is inscribed in the parabola y^(2) = 8x with o...

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  6. If an equilateral Delta is inscribed in a parabola y^(2) = 12x with on...

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  7. The angle subtended by the double ordinate of length 8a of the parabol...

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  8. PQ is a double ordinate of the parabola y^(2)+4x . The locus of its po...

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  9. An arch is in the shape of a parabola whose axis is vertically downwor...

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  10. The point or contact of the Une 2x-y+2 = 0 with the parabola y^(2)=16x...

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  11. The equation of the tangent to the parabola y^(2)=8x inclined at 30^(@...

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  12. The straight line x+y touches the parabola y=x-x^(2) then k =

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  13. Point of contact of y=1-x w.r.t. y^(2)-y+x=0 is

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  14. The line among the following that touches the parabola y^(2)=4ax is

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  15. Assertion (A) : The locus of the point of intersection of perpendicul...

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  16. Two tangents are drawn from (- 2, -1) to y^(2) = 4x. If theta is the a...

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  17. A circle of radius 4 drawn on a chord of the parabola y^(2)=8x as diam...

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  18. Angle between tangents drawn from origin to parabola y^(2)= 4a(x-a)is

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  19. The angle between tangents to the parabola y^(2)=4x at the points wher...

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  20. Statement-I : The condition for the line y = mx+c to be a tangent to (...

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