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The number of circles that touch all the...

The number of circles that touch all the straight lines `x+y-4=0, x-y+2=0` and `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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OBJECTIVE RD SHARMA-CIRCLES-Chapter Test
  1. The radius of the larger circle lying in the first quadrant and touchi...

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  2. A line is at a distance 'c' from origin and meets axes in A and B. The...

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  3. The number of circles that touch all the straight lines x+y-4=0, x-y+2...

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  4. Find the number of integral values of lambda for which x^2+y^2+lambdax...

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  5. Show that the four points of intersection of the lines : (2x-y + 1) (x...

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  6. If 2x+3y-6=0 and 9x+6y-18=0 cuts the axes in concyclic points, then th...

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  7. The line lx+my+n=0 intersects the curve ax^2 + 2hxy + by^2 = 1 at the ...

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  8. Two circles, each of radius 5, have a common tangent at (1, 1) whose e...

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  9. PQ is a chord of the circle x^(2)+y^(2)-2x-8=0 whose mid-point is (2, ...

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  10. The number of circles belonging to the system of circles 2(x^(2)+y^(2)...

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  11. The equation of the circle passing through (0, 0) and belonging to the...

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  12. If (-1/3,-1) is a centre of similitude for the circles x^2+y^2=1 and x...

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  13. If P(1, 1//2) is a centre of similitude for the circles x^(2)+y^(2)+4...

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  14. Statement 1 : The equation x^2+y^2-2x-2a y-8=0 represents, for differe...

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  15. x=1 is the radical axis of the two orthogonally intersecting circles....

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  16. If the y=mx+1, of the circle x^2+y^2=1 subtends an angle of measure 45...

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  17. The circles x^2 + y^2 + 6x + 6y = 0 and x^2 + y^2 - 12x - 12y = 0

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  18. The equation of the pair of straight lines parallel to x-axis and touc...

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  19. The equation of the circumcircle of the triangle formed by the lines x...

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  20. The value of lambda for which the circle x^(2)+y^(2)+2lambdax+6y+1=0 i...

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