If `a+1/b=1` and `b+1/c=1` , then `c+1/a` is equal to (a) 0 (b) `1/2` (c) 1 (d) 2

If a = - 2 , b = -1 , then ( a^b - b^a ) is equal to ( a ) -1 ( b ) 0.5 ( c ) -2 ( d ) -1.5

If a=-2 , b=-1 ,then a^(b)-b^(a) is equal to a) -1 b) 0.5 c) -2 d) -1.5

If [[x,1]][[1,0],[2,0]]=0 ,then x equals (A) 0 (B) -2 (C) -1 (D) 2

If a :(b+c)=1:3 a n d c :(a+b)=5:7, t h e b :(a+c) is equal to 1:2 b. 1:3 c. 2:3 d. 2:1

If a+b+c=0 , then (a^2)/(b c)+(b^2)/(c a)+(c^2)/(a b)=?\ (a)0 (b) 1 (c) -1 (d) 3

If A + B = 45^@ , then (cot A-1) (cot B-1) is equal to......... A) 0 B) 2 C) 1 D) 4

If a,b,c are real numbers and z is a complex number such that,a^(2)+b^(2)+c^(2)=1 and b+ic=(1+a)z then (1+iz)/(1-iz) equals.(a) (b-ic)/(1-ia) (b) (a+ib)/(1+c) (c) (1-c)/(a-ib)( d) (1+a)/(b+ic)

If a:b:c=2:3:4, then (1)/(a):(1)/(b):(1)/(c) is equal to (1)/(4):(1)/(3):(1)/(2) b.4:3:2 c.6:4:3 d.none of these

If y=1/(1+x^(a-b)+x^(c-b))+1/(1+x^(b-c)+x^(a-c))+1/(1+x^(b-a)+x^(c-a)), then (dy)/(dx) is equal to (a)1 (b) (a+b+c)^(x+b+c-1) 0 (d) none of these

If y=1/(1+x^(a-b)+x^(c-b))+1/(1+x^(b-c)+x^(a-c))+1/(1+x^(b-a)+x^(c-a)), then (dy)/(dx) is equal to (a) 1 (b) (a+b+c)^(x+b+c-1) 0 (d) none of these