`(a/b)^(x-1)=(b/a)^(x-3),` then the value of `x` is `1/2` b. `1` c. `7/2` d. `2`

If tan^(-1)(x+1)/(x-1)+tan^(-1)(x-1)/x=tan^(-1)(-7) , then the value of x is (a) 0 (b) -2 (c) 1 (d) 2

If (x_1-x_2)^2+(y_1-y_2)^2=a^2, (x_2-x_3)^2+(y_2-y_3)^2=b^2, (x_3-x_1)^2+(y_3-y_1)^2=c^2, and k|[x_1,y_1, 1],[x_2,y_2, 1],[x_3,y_3, 1]|=(a+b+c)(b+c-b)(c+a-b)xx(a+b-c) , then the value of k is 1 b. 2 c. 4 d. none of these

If a=x+(1)/(x),b=x-(1)/(x), then the value of a^(2)+2ab-3b^(2) is

If f(x)=lim_(n->oo)((x^2+a x+1)+x^(2n)(2x^2+x+b))/(1+x^(2n))and lim_(x->+-1)f(x) exist, then The value of b is (a)-1 (b). 1 ( c.) 0 (d).2

2x+3y=7(a+b)x+y(2a-b)=3(a+b+1) find the value of a+b

If (x+1)/(x-1)=(a)/(b) and (1-y)/(1+y)=(b)/(a), then the value of (x-y)/(1+xy) is (2ab)/(a^(2)-b^(2)) (b) (a^(2)-b^(2))/(2ab) (c) (a^(2)+b^(2))/(2ab) (d) (a^(2)-b^(2)backslash)/(ab)

If (x+1):8=3.75, then the value of x is 1(2)/(7) b.2(2)/(7) c.3(2)/(7) d.4(2)/(7)

If (x-1)/(x)=3, then the value of 1+(1)/(x^(2)) is (a) 9(b) 10(c)11 (d) None of these

int(x+1)/(x^(2)+x+3)dx=a ln|x^(2)+x+3|+(1)/(sqrt(b))tan^(-1)((cx+d)/(sqrt(11)))+k then the value of 2a+b+c+d is 15 b.26c*(29)/(2)d.13