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Find the length of the chord x^2+y^2-4y=...

Find the length of the chord `x^2+y^2-4y=0` along the line `x+y=1.` Also find the angle that the chord subtends at the circumference of the larger segment.

A

`1//2`

B

`1//sqrt2`

C

`sqrt3//2`

D

`1//2sqrt2`

Text Solution

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The correct Answer is:
D
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MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -EXERCISE (LEVEL 1 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))
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  2. No portion of the circle x ^(2) + y^(2) - 16x + 18y + 1=0 lies in the

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  3. The geometrical mean between the smallest and greatest distance of the...

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  4. The length of the longest ray drawn from the point (4,3) to the circle...

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  5. If y pm a =0 is a pair of tangents to the circle x ^(2) + y ^(2) =a ^...

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  6. The circle x ^(2) + y ^(2) =9 is contained in the circle x ^(2) + y ^(...

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  7. The line (x-1) cos theta + (y-1) sin theta =1, for all values of theta...

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  8. Equation of the circle which cuts each of the circles x ^(2) + y ^(2) ...

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  9. The point at which the circle x ^(2) + y ^(2) + 2x + 6y + 4=0 and x ^(...

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  10. Find the equation of a circle which passes through the point (2,0) ...

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  11. If the limiting points of the system of circles x ^(2) + y ^(2) + 2gx+...

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  12. Find the length of the chord x^2+y^2-4y=0 along the line x+y=1. Also f...

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  13. Locus of the centre of the circle touching the line 3x + 4y + 1=0 and ...

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  14. Chord of the circle x ^(2) +y ^(2) = 81 bisected at the point (-2,3) m...

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  15. An equilateral triangle is inscribed in the circle x ^(2) + y ^(2) =1 ...

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  16. The centre and radius of a circle given by equation x =2 +3 cos theta,...

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  17. Consider two circes x ^(2) + y ^(2) =a ^(2) - lamda and x ^(2) + y ^(2...

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

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  19. The equation of a common tangent with negative slope to the circle x^2...

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  20. A polygon of nine sides, each of length 2, is inscribed in a circle wi...

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