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Given : A circle, 2x^2+""2y^2=""5 and a ...

Given : A circle, `2x^2+""2y^2=""5` and a parabola, `y^2=""4sqrt(5)""x` . Statement - I : An equation of a common tangent to these curves is `y="x+"sqrt(5)` Statement - II : If the line, `y=m x+(sqrt(5))/m(m!=0)` is their common tangent, then m satisfies `m^4-3m^2+""2""=0.` (1) Statement - I is True; Statement -II is true; Statement-II is not a correct explanation for Statement-I (2) Statement -I is True; Statement -II is False. (3) Statement -I is False; Statement -II is True (4) Statement -I is True; Statement -II is True; Statement-II is a correct explanation for Statement-I

A

If Statement-I is true but Statement - II is false.

B

If Statement-I is false but Statement-II is true.

C

If both Statement - I and Statement - II are true, and Statement - II is the correct explanation of Statement- I.

D

If both Statement-I and Statement - II are true but Statement - II is not the correct explanation of Statement-I.

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A
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MOTION-PARABOLA-EXERCISE - IV
  1. A parabola has the origin as its focus and the line x""=""2 as the ...

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  2. If two tangents drawn from a point P to the parabola y2 = 4x are at ri...

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  3. Given : A circle, 2x^2+""2y^2=""5 and a parabola, y^2=""4sqrt(5)""x . ...

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  4. The equation to the line touching both the parabolas y^2 =4x and x^2=...

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  5. Let O be the vertex and Q be any point on the parabola,x^2=""8y . I...

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  6. Let , P be the point on the parabola y^(2) = 8x which is at a min...

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  7. The centres of those circles which touch the circle x^(2) + y^(2) - 8...

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  8. IF the tangent at (1,7) to the curve x ^(2) = y-6 touches the circle ...

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  9. Tangent and normal are drawn at P(16,16) on the parabola y^2=16x which...

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  10. The axis of a parabola is along the line y=x and the distance of its v...

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

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  12. Match the following. Normals are drawn at points P Q and R lying on th...

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  13. Statement-1: The curve y=(-x^(2))/2+x+1 s symmetric with respect to th...

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  14. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  15. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  16. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  17. The tangent and normal at P(t), for all real positive t, to the parabo...

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  18. Let A and B be two distinct points on the parabola y^2 = 4x. If the ax...

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  19. Consider the parabola y^(2) = 8x. Let Delta(1) be the area of the tria...

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

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