If `A >0,\ B >0\ a n d\ A+B=\ pi/6` , then the minimum value of `t a n A+t a n B` is: `2-sqrt(3)` b. `4-2sqrt(3)` c. `sqrt(3)-sqrt(2)` d. `2/(sqrt(3))`

The value of sqrt(3-2\ sqrt(2)) is (a) sqrt(2)-1 (b) sqrt(2)+1 (c) sqrt(3)-sqrt(2) (d) sqrt(3)+\ sqrt(2)

Find the values of a and b if : (2sqrt(3)+3sqrt(2))/(2sqrt(3)-3sqrt(2))=a+bsqrt(6)

Length of E F is equal to- a. 1+sqrt(3)-sqrt(6) b. \ 1+sqrt(3)-sqrt(2) c. \ sqrt(6)-1-sqrt(3) d. sqrt(2)-1+sqrt(3)

Suppose a ,b, and c are in A.P. and a^2, b^2 and c^2 are in G.P. If a

If both a\ a n d\ b are rational numbers, find the values of a\ a n d\ b in each of the following equalities: (sqrt(2)+\ sqrt(3))/(3sqrt(2\ )-\ 2sqrt(3))=a-b\ sqrt(6)

The rationalisation factor of sqrt(3) is (a) -sqrt(3) (b) 1/(sqrt(3)) (c) 2sqrt(3) (d) -2sqrt(3)

The value of cot70^0+4cos70^0 is (a) 1/(sqrt(3)) (b) sqrt(3) (c) 2sqrt(3) (d) 1/2

Vertices of a variable acute angled triangle A B C lies on a fixed circle. Also, a ,b ,ca n dA ,B ,C are lengths of sides and angles of triangle A B C , respectively. If x_1, x_2a n dx_3 are distances of orthocenter from A ,Ba n dC , respectively, then the maximum value of sqrt(3)((dx_1)/(d a)+(dx_2)/(d b)+(dx_3)/(d c))+11 is a. -sqrt(3) b. 11-3sqrt(3) c. 11+6sqrt(3) d. 3sqrt(3)

If both a\ a n d\ b are rational numbers, find the values of a\ a n d\ b in each of the following equalities: (sqrt(5)+\ sqrt(3))/(sqrt(5)-\ sqrt(3))=a+b\ sqrt(15)

The rationalisation factor of 2+sqrt(3) is (a) 2-sqrt(3) (b) sqrt(2)+3 (c) sqrt(2)-3 (d) sqrt(3)-2