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The number of common tangents to the ci...

The number of common tangents to the circles `x^(2)+y^(2)-4x-6y-12=0` and `x^(2)+y^(2)+6x+18y+26=0`, is

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
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MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. For the two circles x^2+y^2=16 and x^2+y^2-2y=0 there are

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  2. The equation of the circle described on the chord 3x + y + 5 =0 of the...

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  3. The number of common tangents to the circles x^(2)+y^(2)-4x-6y-12=0 a...

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  4. If the incentre of an equilateral triangle is (1,1) and the equation o...

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  5. If a circle passing through the point (-1, 0) touches y-axis at (0, 2)...

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  6. If y+3x =0 is the equation of a chord of the circle, x^2 + y^2-30x = 0...

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  7. The centres of those circles which touch the circle, x^2+y^2-8x-8y-4=0...

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  8. If one of the diameters of the circle, given by the equation x ^(2) + ...

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  9. A circle passes through (-2, 4) and touches y-axis at (0, 2). Which on...

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  10. Equation of the tangent to the circle at the point (1, -1) whose centr...

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  11. If a point P has co-ordinates (0, -2) and Q is any point on the circle...

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  12. If two parallel chords of a circle, having diameter 4 units, lie on th...

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  13. A line is drawn through the point P(3,11) to cut the circle x^(2)+y^(2...

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  14. The radius of a circle, having minimum area, which touches the curve y...

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  15. IF the tangent at (1,7) to the curve x ^(2) = y-6 touches the circle ...

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  16. A circle passes through the points ( 2,3) and ( 4,5) . If its centre ...

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  17. A square is incribed in a circle x^2+y^2-6x+8y-103=0 such that its sid...

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  18. Let C (1) and C (2) be the centres of the circles x ^(2) + y ^(2) - 2x...

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  19. A circle cuts a chord of length 4a on the x-axis and passes through a ...

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  20. If the circles x^2+y^2-16x-20y+164=r^2 and (x-4)^2+(y-7)^2=36 intersec...

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