In triangle `ABC, a:b:c = (1+x):1:(1-x)` where `x in (0, 1)` If `/_A = pi/2 + /_C`, then `x` equal to

sin^(-1)(1-x)-2sin^(-1)x=pi/2 , then x is equal to

If 3tan^(-1)x+cot^(-1)x=pi , then x equals to ______

If sec x cos 5x+1=0 , where 0lt x lt 2pi , then x=

If (1-ix)/(1+ix)=a-ibanda^(2)+b^(2)=1,where a,b in Randi=sqrt(-1), then x is equal to

2 tan ( tan^(-1)(x)+ tan^(-1)(x^(3))) " where " x in R - {-1,1} is equal to

If the area of Delta ABC formed by vertices A(x,y), B(1,2) and C(2,1) is 6 sq units. then prove that x + y = 15 or x + y = - 9

In a Delta ABC , angles A, B, C are in AP. If f(x) = lim_(A to C) (sqrt(3 - 4 sin A sin C))/(|A-C|) , then f'(x) is equal to ..........

If in a triangle ABC, /_C=60^@ , then prove that 1/(a+c)+1/(b+c)=3/(a+b+c)

In a Delta ABC, A -= (alpha, beta), B -= (1, 2), C -= (2,3) and point A lies on the line y = 2 x + 3 where alpha, beta in l . If the area of Delta ABC be such that [Delta]=2 , where [.] denotes the greatest integer function, find all possible coordinates of A.