No. of Direct and Transverse Common Tangents When `|C_1C_2|lt|r_1-r_2|`

No of Direct and Transverse Common Tangents When |C_(1)C_(2)|=|r_(1)-r_(2)|

No of Direct and Transverse Common Tangents When |C_(1)C_(2)|=r_(1)+r_(2)

No of Direct and Transverse Common Tangents When |C_(1)C_(2)|>r_(1)+r_(2)

No.of Direct and Transverse Common Tangents When |r_(1)-r_(2)|<|C_(1)C_(2)|

Length of Direct and transverse common tangent

Common Tangents of Two Circles - Direct and Transverse Common Tangent

The line L_(1)-=3x-4y+1=0 touches the circles C_(1) and C_(2) . Centers of C_(1) and C_(2) are A_(1)(1, 2) and A_(2)(3, 1) respectively Then, the length (in units) of the transverse common tangent of C_(1) and C_(2) is equal to

Statement-1:If the line y=x+c intersects the circle x^2+y^2=r^2 in two real distinct points then -rsqrt2 lt c lt r sqrt2 Statement -2: If two circles intersects at two distinct points then C_1C_2 lt r_1+r_2

Instruction : Answer the questions given below on the basis following figure. MN is a transverse common tangent. A and B are centres of the circles whose radii are respectively r_1 and r_2 . Length of AB is d. Length of MN is