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The centre and radius of the eircle with...

The centre and radius of the eircle with the segment of the line x+y=1 cut of by the coordinate axes as diameter are

A

`(1,1),sqrt2`

B

`(1//2,1//2),sqrt2`

C

`(1//2,1//2),1//sqrt2`

D

(0,0),1

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1A(Circle)
  1. The point diametrically oppiosite to the point P (1,0) on the circle x...

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  2. The normal to the circle given by x^(2) + y^(2) - 6x + 8y - 144 = 0 at...

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  3. The centre and radius of the eircle with the segment of the line x+y=1...

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  4. If (x, 3) and (3, 5) are the ends of the diameter of a circle with cen...

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

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  6. If the lines 3x-4y-7=0 and 2x-3y-5=0 are two diameters of a circle of ...

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  7. A variable circle passes through the fixed point A(p, q) and touches a...

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

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  9. The area of the circle (x+1)(x+2)+(y-1)(y+3)=0 is

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  10. The centre of the circle (x-2)(x-4)+(y-1)(y+3)=0 is

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  11. The centre of the circle circumscribing the triangle formed by the lin...

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  12. The centre of the incircle of the triangle formed by the line 3x+4y=24...

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  13. Equation of the circle passing through A(1,2), B(5, 2) so that the ang...

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  14. The equation of the diameter of the circle x^(2)+y^(2)+2x-4y-4=0 that ...

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  15. The straight lines joining the origin to the points of intersectiion o...

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  16. A straight line moves such that the algebraie-sum of the perpendicular...

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  17. If the base of a triangle and the ratio of the lengths of the other tw...

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  18. The condition that the chord a x cos alpha +y sin alpha -p=0" of "x^(2...

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  19. An equilateral triangle is inscribed in the circle x^(2)+y^(2)=a^(2). ...

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  20. If an equilateral triangle is inscribed in the circle x^(2)+y^(2)-6x-4...

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