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A chord of the circle x^(2)+y^(2)=a^(2) ...

A chord of the circle `x^(2)+y^(2)=a^(2)` passes through a fixed point (2,3). The chord which is farthest from the centre is

A

`x-2y+4=0`

B

`x-y+1=0`

C

`3x-y-3=0`

D

`2x+3y-13=0`

Text Solution

Verified by Experts

The correct Answer is:
D
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ML KHANNA-THE CIRCLE -Problem Set (5) (MULTIPLE CHOICE QUESTIONS)
  1. If the circle x^(2)+y^(2) +2g x +2fy +c=0 bisects the circumference o...

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  2. If two distinct chords, drawn from the point (p, q) on the circle x^(2...

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  3. A chord of the circle x^(2)+y^(2)=a^(2) passes through a fixed point ...

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  4. The equation of the diameter of the circle (x-2)^(2)+(y+1)^(2) =16 wh...

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  5. The pole of the straight line 9x+ y - 28=0 with respect to the circle ...

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  6. The pole of the line 3x + 4y - 45=0 w.r.t. the circle x^(2)+y^(2)-6x...

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  7. Polar of origin (0, 0) w.r.t. the circle x^(2)+y^(2)+2lambda x +2 mu y...

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  8. The chords of contact of tangents from three points A,B,C to the circl...

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  9. The chord of contact of tangents drawn from any point on the circle x^...

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  10. If the tangents are drawn to the circle x^(2)+y^(2)=12 at the point w...

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  11. If O is the origin and OP, OQ are tangents to the circle x^(2)+y^(2)+2...

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  12. The distance between the chords of contact of the tangents to the circ...

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  13. The area of the triangle formed by the tangents from the point (4,3) t...

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  14. Tangents are drawn from the point (a, a) to the circle x^(2)+y^(2)-2x-...

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  15. The chords of contact of the pair of tangents drawn from each point on...

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  16. From the focus of the parabola y^(2)=8x, tangents are drawn to the cir...

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  17. The line 9x + y -28 =0 is the chord of contact of the point P(h,k) w....

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  18. Tangents drawn from the point P (1,8) to the circle x^(2)+y^(2)-6x-4y...

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  19. A circle C(1) of radius 2 units rolls outside the circle C(2)=x^(2)+y...

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  20. A circle C(1) of radius 2 units rolls outside the circle C(2)=x^(2)+y...

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