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The number of circles that touch all the...

The number of circles that touch all the 3 lines 2x+y=3, 4x-y=3, x+y=2 is

A

1

B

2

C

3

D

4

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-CIRCLES-PRACTICE EXERCISE
  1. Equation of the tangent to the circle x^(2)+y^(2)=3, which is inclined...

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  2. Find the equation of the normal to the circle x^(2) +y^(2) -4x -6y ...

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  3. The number of circles that touch all the 3 lines 2x+y=3, 4x-y=3, x+y=2...

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  4. P(-9,-1) is a point on the circle x^2+y^(2)+4x+8y-38=0. The equation t...

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  5. The line x cos alpha+y sin alpha=p touches the circle x^(2)+y^(2)-2ax ...

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  6. The equation of the tangent to the circle x^(2)+y^(2)+4x-4y+4=0 which ...

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  7. The tangent at (3,4), (4,-3) to the circle x^(2)+y^(2)=25" are"

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  8. If O is the origin OP, OQ are the tangent to the circle x^(2)+y^(2)+2g...

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  9. Show that x + y + 1 = 0 touches the circle x^(2) + y^(2) -3x + 7y 1...

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  10. Find the equation of the circles which touch 2x-3y+1=0 at (1,1) and ha...

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  11. If the equatio of one tangent to the circle with centre (2,-1) from th...

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  12. The normal of the circle (x- 2)^(2)+ (y- 1)^(2) =16 which bisects the ...

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

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  14. The angle between the tangents to the circle with centre (4,5) drawn f...

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  15. The locus of the point of intersection of two perpendicular tangents t...

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  16. Locus of point of intersection of perpendicular tangents to the circle...

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  17. The locus of the point of intersection of the perpendicular tangents t...

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  18. Tangents from point P are drawn one of each of th circle x^(2)+y^(2)-4...

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  19. From any point on the circle x^(2)+y^(2)=a^(2) tangent are drawn to th...

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  20. The tangents drawn from the origin x^(2)+y^(2)-2rx-2hy+h^(2)=0 are per...

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