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Given :A circle 2x^(2) +2y^(2) =5 and ...

Given :A circle ` 2x^(2) +2y^(2) =5 ` and a parabola `y^(2) =4 sqrt5 x.`
Statement -I : an equation of a common tangent to these curves is `y=x+sqrt5.`
Statement -II - If the line, `y= mx+ ( sqrt5)/( m ) (mne0) ` is their common tangent ,then m satisfies `m^(4) -3m ^(2) +2=0 `

A

Statement -1 is true , Statement -II is true Statement -II is a correct explanation for Statement -I

B

Statement -I is true, Statement -II is true , Statement -II is a not correct explanation for Statement-I

C

Statement -1 is true ,Statement -II is false

D

Statement -1 is false , Statement -II is true

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-REVISION EXERCISE -PARABOLA
  1. A set of parallel chords of the parabola y^(2) =4ax have their mid-po...

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  2. If the angular bisectors of the coordinates axes cut the parabola y^(2...

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  3. If the straight line y=mx+c is parallel to the axis of the parabola y^...

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  4. The set of point on the axis of the parabola y^(2) -2y -4x + 5=0 from ...

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  5. Given :A circle 2x^(2) +2y^(2) =5 and a parabola y^(2) =4 sqrt5 x. ...

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  6. If a ne0 and the line 2bx+3cy+4d =0 passes through the points of inter...

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  7. The equation of the directrix of the parabola y^(2)+4y+4x+2=0 is

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  8. The locus of the vertices of the family of parabolas y = (a^(3)x^(2))/...

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  9. The equation of the common tangent to x^(2)+y^(2)=2a^(2)"and" y^(2)=8a...

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  10. The normal at a point (bt1^(2) , 2bt1) on a parabola meets the parabo...

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  11. The sloope of the line touching both the parabolas y^(2) =4x and x^(2)...

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  12. Statement 1: The slope of the tangent at any point P on a parabola , w...

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  13. Statement 1: The line x-2y =2 meets the parabola y^(2) +2x=0 only at ...

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  14. The point of intersection of the normals to the parabola y^(2) =4x at ...

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  15. Let L1 be the length of the common chord of the curves x^(2) +y^(2)...

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

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  17. A chord is drawn through the focus of the parabola y^(2) =6x such tha...

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  18. Lety^(2) =16x be a given parabola and L be an extremity of its latus r...

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  19. The locus of the mid points of the chords of the prarabola x^(2) =4py...

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  20. Let O be the vertex and Q be any point on the parabola ,x^(2) =8y . If...

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