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The set of all real values of lambda for...

The set of all real values of `lambda` for which exactly two common tangents can be drawn to the circles `x^2 + y^2-4x-4y + 6=0` and `x^2 + y^2-10x-10y+ lambda = 0` is the interval

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The set of all real values of lambda for which exactly two common tangents can be drawn to the circle x^(2) +y^(2) -4x -4y +6=0 and x^(2) +y^(2) -10 x-10 y +lambda =0 is the interval

The number of common tangents that can be drawn to the circles x^2+y^2-4x-6y-3=0 and x^2+y^2+2x+2y+1=0 is :

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The number of common tangent to the circles x^(2) + y^(2) + 4x - 6y - 12 = 0 and x^(2) + y^(2) - 8x + 10y + 5 = 0 is