11. The minimum value of x- 61+ x +31+ | x-8]+\x+41 +1 x - 3| is 1) 11 2 21 3) 31 4) 42

Find n if the given value of x is the n t h term of the given A.P. (i)5 1/2,\ 11 ,\ 16 1/2,\ 22 ,\ dot;\ \ x=550 (ii) 1,(21)/(11),(31)/(11),(41)/(11),\ ddot,\ \ \ x=(171)/(11)

Find the absolute maximum value and the absolute minimum value of the following functions in the given intervals: f(x) = (x-1)^2 + 3, x in [-3,1]

The orthocentre of the triangle formed by the lines x y=0 and x+y=1 is (a) (1/2,1/2) (b) (1/3,1/3) (c) (0,0) (d) (1/4,1/4)

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 0

Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial. 50x^3 - 21x + 107 + 41x^3 - x+1-93 + 71x - 31x^3

Find the absolute maximum value and the absolute minimum value of the following functions in the given interval . (d) f(x) = (x -1)^(2) + 3x, x in [-3,1]

If ma and M respectively denote the minimum and maximum of f(x) =(x-1)^2+3 for x in [-3,1] then the ordered pair (m,M)=