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The two lines through (2,3) from which t...

The two lines through (2,3) from which the circle `x^(2)+y^(2)=25` intercepts chords of length 8 units have equations

A

`2x+3y=13, x+5y=17`

B

`y=3, 12x+5y=39`

C

`x=2, 9x-11y=51`

D

none of these

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The correct Answer is:
B
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Two lines through (2,3) from which the circle x^(2)+y^(2)=25 intercepts chords of length 8 units have equations (A) 2x+3y=13,x+5y=17 (B) y=3,12x+5y=39 (C) x=2,9x-11y=51 (D) y=0,12x+5y=39

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ML KHANNA-THE CIRCLE -Problem Set (3) (MULTIPLE CHOICE QUESTIONS)
  1. P, Q, R and S are the points of intersection with the co-ordinate axes...

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  2. If the equation of a given circle is x^2+y^2=36 , then the length of t...

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  3. The two lines through (2,3) from which the circle x^(2)+y^(2)=25 inter...

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  4. The common chord of x^(2)+y^(2)-4x-4y=0 and x^(2)+y^(2)=16 subtends at...

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  5. The length of the common chord of the circles (x-a)^(2)+(y-b)^(2)=c^(2...

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  6. Let L(1) be a straight line passing through the origin and L(2) be th...

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  7. Length of common chord of the circles x^(2)+y^(2)+ax +by+c=0 and x^(2...

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  8. The distance of the point (1, 2) from the common chord of the circles ...

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  9. Radius of the circle with centre (3,1) and cutting a chord of length 6...

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  10. The equation of the circle described on the common chord of the circle...

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  11. The intercept on the line y=x by the circle x^(2)+y^(2)-2x=0 is AB. E...

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

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  13. A variable circle is described to pass through the point (a, 0) and to...

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  14. The equation of tangent drawn from origin to the circle x^(2)+y^(2)-2a...

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  15. The equation of the circle passing through (2,0) and (0,4) and having ...

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  16. The length of the chord joining the points (4 cos alpha, 4 sin alpha)...

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  17. The line y=mx+c intersects the circle x^(2)+y^(2)=a^(2) in two distin...

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  18. If a circle passes through the points of intersection of the co-ordina...

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  19. A circle cuts the circles x^(2)+y^(2)=4 x^(2)+y^(2)-6x-8y+10=0 and...

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  20. Two parallel chords of a circle of radius 2 are at a distance sqrt3 + ...

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