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The locus of the vertex of the family of...

The locus of the vertex of the family of parabolas
`y=(a^(3)x^(2))/(3)+(a^(2)x)/(2)-2a` is

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Parabolas y^(2)=4a(x-c(1))andx^(2)=4a(y-c(2)), where c(1) and c(2) are...

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  2. A circle touches the x-axis and also touches the circle with centre (0...

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

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  4. Let C(1)andC(2) be, respectively, the parabola x^(2)=y-1andy^(2)=x-1. ...

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  5. If the line y-sqrt(3)x+3=0 cut the parabola y^2=x+2 at P and Q , then ...

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  6. The locus of a point on the variable parabola y^2=4a x , whose distanc...

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  7. Tangent to the curve y=x^2+6 at a point (1,7) touches the circle x^2+y...

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  8. The angle between the tangents drawn from the point (1,4) to the para...

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  9. Statement 1: There are no common tangents between the circle x^2+y^2...

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  10. If the line x-1=0 is the directrix of the parabola y^2-k x+8=0 , then ...

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  11. C (0,1) is the centre of the circle with radius unity. P is the parabo...

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  12. The set of points on the axis of the parabola (x-1)^(2)=8(y+2) from wh...

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  13. The shortest distance between the parabolas 2y^2=2x-1 and 2x^2=2y-1 is...

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  14. Normals at two points (x(1),y(1))and(x(2),y(2)) of the parabola y^(2)=...

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  15. The endpoints of two normal chords of a parabola are concyclic. Then ...

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  16. In parabola y^2=4x, From the point (15,12), three normals are drawn th...

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  17. t 1 and  t 2 are two points on the parabola y^...

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  18. Tangent and normal are drawn at the point P-=(16 ,16) of the parabola ...

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  19. Length of the shortest normal chord of the parabola y^2=4ax is

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  20. The line x-y=1 intersect the parabola y^(2)=4x at A and B. Normals at ...

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