S 2 +1 (B) The value of x + x +1 22

In Figure,if l_(1)l_(2), the value of x is 22(1)/(2) (b) 30 (c) 45 (d) 60

Consider the points O(0,0), A(0,1) , and B(1,1) in the x-y plane. Suppose that points C(x,1) and D(1,y) are chosen such that 0ltxlt1 . And such that O,C, and D are collinear. Let the sum of the area of triangles OAC and BCD be denoted by S. Then which of the following is/are correct?. (a) Minimum value of S is irrational lying in ( 1 / 3 , 1 / 2 ) (b) Minimum value of S is irrational in ( 2 / 3 , 1 ) . (c) The value of x for the minimum value of S lies in ( 2 / 3 , 1 ) . (d) The value of x for the minimum values of S lies in ( 1 / 3 , 1 / 2 ) .

In Figure, if l_1 || l_2, the value of x is (a) 22 1/2 (b) 30 (c) 45 (d) 60

Find the value of: x^3 + x^2 -x+22, if x= frac{5}{1-2i}

If (1 -2x)/(3 + 2x - x^(2)) = (A)/(3 -x ) + (B)/(x + 1) ,then the value of A + B is

P(x) be a polynomial of degree 3 satisfying P(-1) =10 , P(1) =-6 and p(x) has maxima at x = -1 and p(x) has minima at x=1 then The value of P(2) is (a) -15 (b) -16 (c) -17 (d) -22 (c) -17 (d) -22

Let the function f(x)=|x+1| . The number of values of x in [-2,2] for which f(x-3),f(x-1) and f(x+1) are in the arithmetic progression is

Let the function f(x)=|x+1| . The number of values of x in [-2,2] for which f(x-3),f(x-1) and f(x+1) are in the arithmetic progression is

If |(x+1,1,1),(2,x+2,2),(3,3,x+3)|=0 , then the value of x is -

if |[x,2],[8,4]|=|[1,1],[2,2]| then value of x is