सिद्ध कीजिए : `(-1+sqrt(-3))^(13)+(1-sqrt(-3))^(13)+2^(13)=0`

sqrt((x)/(1-x))+sqrt((1-x)/(x))=(13)/(6)

sqrt((x)/(1-x))+sqrt((1-x)/(x))=(13)/(6)

ln Delta ABC , tan A=3 , tan B=(2)/(3) c=sqrt(10) then circum radius of Delta is (1) 11sqrt((13)/(10)) (2) (10sqrt(13))/(11) (3) (sqrt(130))/(11) (4) (5sqrt(13))/(11)

If G is the centroid of triangle ABC and BC=3,CA=4 AB=5 then BG= (sqrt(13))/(3) (2sqrt(13))/(3) sqrt(13) (4sqrt(13))/(3)

sin[(1)/(2)cot^(-1)((2)/(3))]= sqrt((sqrt(13)-2)/(2sqrt(13))) (2+sqrt(13))/(2sqrt(13)) sqrt((2-sqrt(13))/(2sqrt(13))) (2-sqrt(13))/(2sqrt(13))

sqrt(13^(2)+3+4-(3)^(3)+107)=(?)^(2)

The value of 3+(1)/(3+(1)/(3+(1)/(3+...*oo))) (1) (3+sqrt(5))/(2) (2) (3-sqrt(13))/(2) (3) (3+sqrt(13))/(2) (4) None of these

Two circles, each having radius 4, have a common tangent given by 3x+2y-6=0 at (2, 0) . Then their centres are : (A) (2+ 5/sqrt(13), 8/sqrt(13)), (2- 5/sqrt(13) , (-8)/sqrt(13)) (B) (2+ 12/sqrt(13), 8/sqrt(13)) , (2- 12/sqrt(13), (-8)/sqrt(13)) (C) (2, 3), (4, 5) (D) none of these

Two circles, each having radius 4, have a common tangent given by 3x+2y-6=0 at (2, 0) . Then their centres are : (A) (2+ 5/sqrt(13), 8/sqrt(13)), (2- 5/sqrt(13) , (-8)/sqrt(13)) (B) (2+ 12/sqrt(13), 8/sqrt(13)) , (2- 12/sqrt(13), (-8)/sqrt(13)) (C) (2, 3), (4, 5) (D) none of these