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The sum of the slopes of the lines tange...

The sum of the slopes of the lines tangent to both the circles `x^2+y^2=1` and `(x-6)^2+y^2=4` is________

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The correct Answer is:
0
Since both the circles are symmetric about the y-axis, the sum of slopes of tangest is 0.
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CENGAGE-CIRCLE -Exercise (Numerical)
  1. Let the lines (y-2)=m1(x-5) and (y+4)=m2(x-3) intersect at right angle...

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  2. Consider the family of circles x^2+y^2-2x-2lambda-8=0 passing through ...

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  3. The number of points P(x , y) lying inside or on the circle x^2+y^2=9 ...

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  4. If real numbers xa n dy satisfy (x+5)^2+(y-12)^2=(14)^2, then the mini...

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  5. The line 3x+6y=k intersects the curve 2x^2+3y^2=1 at points Aa n dB . ...

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  6. The sum of the slopes of the lines tangent to both the circles x^2+y^2...

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  7. A circle x^2+y^2+4x-2sqrt(2)y+c=0 is the director circle of the circle...

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  8. Two circle are externally tangent. Lines P A B and P A ' B ' are commo...

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  9. The length of common internal tangent to two circles is 7 and that of ...

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  10. Line segments A C and B D are diameters of the circle of radius one. I...

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  11. As shown in the figure, three circles which have the same radius r,hav...

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  12. The acute angle between the line 3x-4y=5 and the circle x^2+y^2-4x+2y-...

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  13. If two perpendicular tangents can be drawn from the origin to the c...

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  14. Let A (-4,0) ,B(4,0) Number of points c= (x,y) on circle x^2+y...

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  15. If the circle x^2 + y^2 + ( 3 + sin beta) x + 2 cos alpha y = 0 and x...

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  16. Two circles C1a n dC2 both pass through the points A(1,2)a n dE(2,1) a...

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  17. Difference in values of the radius of a circle whose center is at the ...

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  18. The length of common internal tangent to two circles is 7 and that of ...

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