If angles `A ,\ B ,\ C` of a `/_\A B C` form an increasing `A P` , then `sinB=` (a) `1/2` (b) `(sqrt(3))/2` (c) 1 (d) `1/(sqrt(2))`

If a,b and c are in A.P then (1)/(sqrt(b)+sqrt(c)),(1)/(sqrt(c)+sqrt(a)),(1)/(sqrt(a)+sqrt(b)) are in

(sqrt8)^(1/3) = ? (a) 2 (b) 4 (c) sqrt2 (d) 2sqrt2

If points A(5, p), B(1, 5), C(2, 1) and D(6, 2) form a square A B C D , then p= (a) 7 (b) 3 (c) 6 (d) 8

If A+B+C = pi and A, B, C are angle of /_\ ; then show sinA + sinB + sinC < (3 sqrt(3))/2 .

If the angle A,B and C of a triangle are in an arithmetic propression and if a,b and c denote the lengths of the sides opposite to A,B and C respectively,then the value of the expression (a)/(c)sin2C+(c)/(a)sin2A is (1)/(2)(b)(sqrt(3))/(2) (c) 1(d) sqrt(3)

Delta ABC has a right angle at A. If BC = sqrt2 and AB = AC = 1 then sin B is equal to (a) (1)/(sqrt2) (b) sqrt2 (c) (sqrt3)/(2) (d) sqrt3

If a,b,c are in A.P then (1)/(sqrt(b)-sqrt(c)),(1)/(sqrt(c)-sqrt(a)),(1)/(sqrt(a)-sqrt(b)) are in

In a triangle A B C , a line X Y is drawn parallel to B C meeting A B in X and A C in Y . The area of the triangle A X Y is half of the area of the triangle A B C . X Y divides A B in the ratio of 1 :sqrt(2) (b) sqrt(2) :(sqrt(2)-1) (c) 1 :(sqrt(2)-1) (d) sqrt(2) :sqrt(3)

The value of sin(1/4sin^(-1)(sqrt(63))/8) is 1/(sqrt(2)) (b) 1/(sqrt(3)) (c) 1/(2sqrt(2)) (d) 1/(3sqrt(3))

If A,B,C are the angles of a triangle and tan A=1,tan B=2, prove that tan C=3 If a,b,c are the corresponding sides,then prove that (a)/(sqrt(5))=(b)/(2sqrt(2))=(c)/(3)