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Coordinates of the centre of the circle ...

Coordinates of the centre of the circle given by the equation `lambda x^(2) + (2lambda - 3)y^(2) - 4x + 6y - 1 =0` is ………

A

`((4)/(3),1)`

B

`((2)/(3), - 1)`

C

`(-(2)/(3), 1)`

D

`((2)/(3) , 1)`

Text Solution

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The correct Answer is:
B
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KUMAR PRAKASHAN-CONIC SECTIONS-TEXTBOOK BASED MCQS
  1. Find the equation of the circle with radius 5 whose centre lies on x-a...

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  2. Find equation of circle whose end points of diameter are centres of th...

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  3. Coordinates of the centre of the circle given by the equation lambda x...

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  4. If the circle x^(2) + y^(2) + 2gx + 2fy + c = 0 does not intersects th...

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  5. If the circles x^(2) + y^(2) = a^(2) and x^(2) + y^(2) - 6x - 8y + 9 =...

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  6. ……..of the following is the equation of circle passes from (-1,-2) and...

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  7. Point (2, k) is the exterior point of the circles x^(2) + y^(2) + x - ...

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  8. AA t in R, …….is the point lies on parabola x^(2) = 4ay.

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  9. Vertex of the parabola (y - 2)^(2) = 16 (x - 1) is ……..

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  10. Line 2x - 3y + 8 = 0 intersects parabola y^(2) = 8x of points P and Q ...

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  11. Line y = mx + 3 is tangent to parabola 3y^(2) = 2x then m = ……..

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  12. The area of the region bounded by the parabola y^2 =4ax and its ...

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  13. Find the equation of a line parallel to X- axis and passing through th...

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  14. M is the foot of perpendicular from point P of the parabola y^(2) = 4...

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  15. Equation of parabola with focus (-3, 0) and directrix x + 5 = 0 is …….

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  16. Focus and directrix of parabola x^(2) = - 8ay are …….., …….. Respectiv...

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  17. Line l : 2x - 3y + 8 = 0 intersect parabola y^(2) = 8x in point P and...

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  18. Eccentricity of ellipe 9x^(2) + 25y^(2) = 225 is …….

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  19. If for an ellipse length of minor axis and distance between two focii ...

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  20. Length of latus rectum of ellipse 2x^(2)+81y^(2)=162

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