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In each of the following circles, find t...

In each of the following circles, find the centre and radius.
`2x^2 +2y^2 -x = 0`

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The correct Answer is:
the given circle has centre at `(1/4, 0)` and radius `1/4`
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OMEGA PUBLICATION-CONIC SECTIONS -Multiple Choice Questions (MCQs)
  1. In each of the following circles, find the centre and radius. 2x^2 +...

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  2. The vertex of the parabola y^2= 4ax is

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  3. Consider the equation of a parabola y^2+4ax=0 where, agt0. Which of th...

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  4. The focus of the parabola y = 2x^2 + x is

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  5. The equation of the parabola with the focus (3,0) and directrix x+3=0 ...

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  6. The equation of the parabola with focus at (0, 3) and the directrix y ...

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  7. If the parabola y^2 = 4ax passes through (3, 2), then the length of ...

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  8. The locus of a point which moves so that its distance from a fixed po...

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  9. The foci of the ellipse 9x^2 +4y^2 =36 are

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  10. If the latus rectum of an ellipse is one half of its minor-axis, then...

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  11. The eccentricity of the conic 9x^2 +25y^2 =225 is

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  12. The foci of the hyperbola 9x^2 – 16y^2 = 144 are

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  13. If P (x,y) , F1(3,0) and F2 (-3,0) and 16x^2 +25y^2 =400 , then PF1+PF...

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  14. If the major axis of an ellipse is thrice the minor axis, then its ecc...

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  15. The latus rectum of the hyperbola 16x^2 -9y^2=144 is

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  16. The area of a circle centred at (1,2) and passing through (4, 6) is

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  17. The equation of a circle with centre at (1,0) and circumference 10pi ...

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  18. The equation of the circle whose centre is (0, 0) and which passes thr...

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  19. The ends of diameter of a circle are (2, 3) ,(6,5). The centre of the ...

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  20. The centre and radius of the circle x^2+(y-1)^2=2 are

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  21. The eccentricity 'e' of a parabola is

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