1.

Two circles with radii r_1 and r_2, r_1 gt r_2 ge 2,touch other externally. If 'alpha' be the angle between direct common tangents ,then

Answer»

` alpha = SIN ^(-1)((r_1 +r_2)/( r_1-r_2)) `
` alpha = 2 sin ^(-1)((r_1-r_2)/( r_1+r_2))`
` alpha =sin ^(-1)((r_1-r_2)/( r_1+r_2)) `
`alpha =sin ^(-1) ((r_1)/(r_1))`

ANSWER :B


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