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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

0

B

2

C

4

D

infinite

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The correct Answer is:
A
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AAKASH SERIES-CIRCLES-EXERCISE II
  1. The number of circles that touch all the straight lines x + y = 4, x -...

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  2. The number of circles that touches all the three lines x+y-1=0, x-y-1=...

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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. Number of circles touching all the lines x+4h+1=0, 2x+3y+3=0 and x-6y+...

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  5. The line y=x is a tangent at (0,0) to a circle of radius is 1, then ce...

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  6. If y=3x is a tangent to a circle with centre (1,1) then the other tang...

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  7. If the tangent at the point P on the circle x^(2)+y^(2)+6x+6y=2 meet t...

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  8. If theline y=x touches the circle x^(2)+y^(2)+2gx+2fy+c=0 at P where O...

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  9. The length of the tangent from a point on the circle x^(2)+y^(2)+4x-6y...

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  10. If the length of the tangent from (h,k) to the circle x^(2)+y^2=16 is ...

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  11. The locus of the points from which the lengths of the tangents to the ...

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  12. The tangent at any point to the circle x^(2)+y^(2)=r^(2) meets the coo...

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  13. The tangents to x^(2)+y^(2)=a^(2) having inclinations alpha and beta i...

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  14. The locus of the middle points of portions of the tangents to the circ...

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  15. Observe the lists:

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  16. If a circle of radius 2 touches X-axis at (1,0) then its centre may be

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  17. The circle passing through (1,-2) and touching the axis of x at (3,0) ...

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  18. Equation of the tangents to the circle at the point (1,-1) whose centr...

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  19. Equation of circles which touch both the axes and also the line x=k(kg...

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  20. Centres of circles touching both the axes and also the line 3x+4y-12=0...

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