If `d_1,d_2,d_3` are the diameters of three ex-circles of a triangle then `d_1 d_2+d_2 d_3+d_3 d_1=`

If d_(1),d_(2),d_(3) are the diameters of three ex-circles of a triangle then d_(2)d_(2)+d_(2)d_(3)+d_(3)d_(1)=

If d_(1),d_(2)(d_(2)2>d 1) be the diameters of two concentric circles and c be the length of a chord of a circle which is tangent to the other circle prove that d_(2)^(2)=c^(2)+d_(1)^(2)

A line meets the coordinate axes at A and B . A circle is circumscribed about the triangle O A Bdot If d_1a n dd_2 are distances of the tangents to the circle at the origin O from the points Aa n dB , respectively, then the diameter of the circle is (a) (2d_1+d_2)/2 (b) (d_1+2d_2)/2 (c) d_1+d_2 (d) (d_1d_2)/(d_1+d_2)

A line meets the coordinate axes at A and B . A circle is circumscribed about the triangle O A Bdot If d_1a n dd_2 are distances of the tangents to the circle at the origin O from the points Aa n dB , respectively, then the diameter of the circle is (2d_1+d_2)/2 (b) (d_1+2d_2)/2 d_1+d_2 (d) (d_1d_2)/(d_1+d_2)

A line meets the coordinate axes at A and B . A circle is circumscribed about the triangle O A Bdot If d_1a n dd_2 are distances of the tangents to the circle at the origin O from the points Aa n dB , respectively, then the diameter of the circle is (2d_1+d_2)/2 (b) (d_1+2d_2)/2 d_1+d_2 (d) (d_1d_2)/(d_1+d_2)

If d_(1), d_(2) (d_(2) gt d_(1)) be the diameter of the two cocentric circles and c be the length of a chord of a circle which is tangent to the other circle, prove that d_(2)^(2)=c^(2)+d_(1)^(2) .

If A = diag (d_1,d_2,d_3,….d_n) then det A is equal to

If d_(1) and d_(2) (d_(2) gt d_(1)) be the diameters of two concentric circles and c be the length of a chord of a circle which is tangent to the other circle, prove that d_(2)^(2)=c^(2) + d_(1)^(2) .