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Parabolas y^(2)=4a(x-c(1))andx^(2)=4a(y-...

Parabolas `y^(2)=4a(x-c_(1))andx^(2)=4a(y-c_(2))`, where `c_(1)` and `c_(2)` are variable, are such that they touch each other. The locus of their point of contact is

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
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  2. If P S Q is a focal chord of the parabola y^2=8x such that S P=6 , the...

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  3. Parabolas y^(2)=4a(x-c(1))andx^(2)=4a(y-c(2)), where c(1) and c(2) are...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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