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Statement 1: The line x-2y =2 meets the ...

Statement 1: The line `x-2y =2` meets the parabola `y^(2) +2x=0 ` only at the point ` (-2,-2) `
Statement 2: The line ` y= mx -1//2m (m ne 0 ) ` is a tangent to the parabola , `y ^(2) =-2x ` at the point `(-( 1)/( 2m ^(2)), ( 1)/(m))`

A

Statement 1 and Statement 2 are both false

B

Statement 1 and Statement 2 are both true

C

Statement 1 is true and Statement 2 is false

D

Statement 1 is false and statement 2 is true.

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The correct Answer is:
A
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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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