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 in a triangle A B C ,(1+cosA)/a+(1+cosB)/b+(1_(cosC))/c =(k^2(1+cosA)(1+cosB)(1+cosC)/(a b c) , then k is equal to 1/(2sqrt(2)R) (b) 2R (c) 1/R (d) none of these

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

If (a,(1)/(a)),(b,(1)/(b)),(c,(1)/(c))o*(d,(1)/(d)) are four distinct points on a circle of radius 4 units,then abcd is equal to (A) 4(B)16 (C) 1 (D) 2

(2^(-1)+3^(-1)+5^(-1))^(0) is equal to (a) 2 (b) 3 (c) 5 (d) 1

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 ({(x^a)^b}^c)/({(x^b)^c}^a) = (a)3 (b) 0 (c) -1 (d) 1

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