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Consider two curves C1:y^2=4x ; C2=x^2+y...

Consider two curves `C1:y^2=4x` ; `C2=x^2+y^2-6x+1=0`. Then,
(a) C1 and C2 touch each other at one point
(b) C1 and C2 touch each other exactly at two point
(c) C1 and C2 intersect(but do not touch) at exactly two point
(d) C1 and C2 neither intersect nor touch each other

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
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  3. Consider two curves C1:y^2=4x ; C2=x^2+y^2-6x+1=0. Then, (a) C1 and C...

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  4. Let the curve C be the mirror image of the parabola y^2 = 4x with resp...

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  5. Let S be the focus of the parabola y^2=8x and let PQ be the common cho...

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  6. Consider the parabola y^2 = 8x. Let Delta1 be the area of the triangle...

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  7. Statement 1 : The curve y=-(x^2)/2+x+1 is symmetric with respect to th...

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  8. Tangent and normal drawn to a parabola at A(a t^2,2a t),t!=0 meet the ...

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  9. If the normals to the parabola y^2=4a x at three points (a p^2,2a p), ...

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  10. Normals A O ,A A1a n dA A2 are drawn to the parabola y^2=8x from the p...

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  11. If 2x+y+lambda=0 is a normal to the parabola y^2=-8x , then lambda is ...

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  12. The length of the latus rectum of the parabola whose focus is a. ((u...

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  13. If parabolas y^(2)=lamdaxand25[(x-3)^(2)+(y+2)^(2)]=(3x-4y-2)^(2) are ...

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  14. If normal to parabola y^(2)=4ax at point P(at^(2),2at) intersects the ...

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  15. The set of points on the axis of the parabola y^2=4x+8 from which the ...

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  16. Which one of the following equation represent parametric equation to a...

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  17. The vertex of a parabola is the point (a , b) and the latus rectum is ...

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  18. The curve represented by the equation sqrt(p x)+sqrt(q y)=1 where p ,q...

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  19. Prove that the equation of the parabola whose focus is (0, 0) and tang...

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