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The centres of 3 circles x^2+y^2 =1, x^2...

The centres of 3 circles `x^2+y^2 =1, x^2+y^2 +6x-2y=1, x^2+y^2-12x+4y=1` are :

A

collinear

B

form a right angled triangle

C

non-collinear

D

form an equilateral triangle.

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MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
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  2. The angle between the lines 2x = 3y=-z and 12x=-2y=-8z is:

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  3. The centres of 3 circles x^2+y^2 =1, x^2+y^2 +6x-2y=1, x^2+y^2-12x+4y=...

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  4. If the lines 2x + 3y+1=0,3x-y-4=0 are diameters of a circle x^2+ y^2+ ...

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  5. The equation of the circle, while touches the line x= y at origin and ...

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  6. The locus of the foot of the perpendicular from the centre of the elli...

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  7. The locus of the mid-points of a chord of the circle x^(2)+y^(2)=4 whi...

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  8. The length of the chord joining the points (4 cos theta 4 sin theta) a...

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  9. The number of common tangents to the circles x^2+y^2-y=0 and x^2+y^2+y...

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  10. The co-ordinates of the centre of the smallest circle passing through ...

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  11. The length of the diameter of the circle which cuts three circles : x^...

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  12. For the parabola y^2 = 4x, the point P whose focal distance is 17, is ...

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  13. The angle between the tangents drawn from origin to the parabola y^2= ...

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  14. The number of values of c such that the straight line y=4x+c touches t...

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  15. If the circle x^2+y^2=a^2 intersects the hyperbola x y=C^2 at four poi...

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  16. The foot of the perpendicular from the point (2, 4) upon x + y= 4 is:

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  17. The vertices of a triangle are (6, 0), (0, 6) and (6, 6). Then distanc...

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  18. The angle between the pair of lines : x^2+2xy-y^2=0 is :

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  19. In an ellipse, if the lines joining focus to the extremities of the mi...

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  20. If a hyperbola passes through the foci of the ellipse x^2/25+ y^2/16=1...

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