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The locus of the vertices of the family ...

The locus of the vertices of the family of parabolas `y =[a^3x^2]/3 + [a^2x]/2 -2a` is:

A

`xy=64//105`

B

`xy=105//64`

C

`xy=3//4`

D

`xy=35//16`

Text Solution

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-PARABOLA-SOLVED EXAMPLES LEVEL-1 (single correct answer type questions )
  1. If x+y=k is a normal to the parabola y^(2)=12x, then the value of k is...

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  2. If a normal chord at a point on the parabola y^(2)=4ax subtends a righ...

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  3. The slopes of the normals to the parabola y^2=4ax intersecting at a p...

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  4. If the focus of a parabola divides a focal chord in segments of lengt...

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  5. P is a point on the parabola whose ordinate equals its abscissa. A nor...

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  6. the equation of the parabola whose focus is the point (0,0) and the ta...

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  7. The common tangent to the circle x^(2)+y^(2)=a^(2)//2 and the parabola...

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  8. The locus of the vertices of the family of parabolas y =[a^3x^2]/3 + [...

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  9. The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+...

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

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  11. The shortest distance between the lines y-x=1 and the curve x=y^2 is

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  12. If a!=0 and the line 2bx+3cy+4d=0 passes through the points of interse...

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  13. The locus of a point P(alpha beta) moving under the condition that the...

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

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

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

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  17. Let y^(2)=16 be a given parabola and L be an extremity of its latus re...

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  18. The locus of the mid-point of the chords of the parabola x^(2)=4py hav...

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

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  20. Let L be a normal to the parabola y^(2) = 4x. If L passes through the ...

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