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Equation of a circle passing through or...

Equation of a circle passing through origin is `x^(2) + y^(2) - 6x + 2 y = 0`. What is the equation of one of its diameter ?

A

`x+3y=0 `

B

`x+y=0 `

C

`x=y `

D

`3x+y=0 `

Text Solution

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The correct Answer is:
A
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ML KHANNA-THE CIRCLE -Self Assessment Test
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  2. The two circles x^(2)+y^(2)-2x-3=0 and x^(2)+y^(2)-4x-6y-8=0 are such ...

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  3. Equation of a circle passing through origin is x^(2) + y^(2) - 6x + 2...

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  4. The circle x^(2)+y^(2)+ 4x - 7y+12=0 cuts an intercept on y-axis equal...

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  5. AB is a diameter of a circle and C is any point on the circumference o...

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  6. Centre of a circle passing through point (0,1) and touching the curve ...

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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. What is slope?

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  9. The equation of the circle passing through (4,5) having the centre at ...

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  10. The equation of tangents drawn from the origin to the circle x^(2)+y^(...

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  11. Find the angle between the two tangents from the origin to the circle ...

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  12. If two circles (x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0 int...

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  13. Find the number of common tangent to the circles x^2+y^2+2x+8y-23=0 an...

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  14. If (x,3) and (3,5) are the extermities of a diameter of a circle with ...

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  15. If the lines 2x-3y=5 and 3x-4y=7 are the diameters of a circle of area...

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  16. The point diametrically opposite to the point P(1,0) on the circle x^(...

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  17. The centre of circle inscribed in a square formed by lines x^2-8x+1...

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  18. If the lines 2x+3y+1=0 and 3x-y-4=0 lie along diameters of a circle ...

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  19. Tangents drawn from the point P(1,8) to the circle x^(2) + y^(2) - 6x ...

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  20. The radius of the circle, having centre at (2, 1) whose one of the cho...

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