" Whow al "A=|x in R:-1<=x<=1|=B" .Show that "f:A rarr B" givert by "f(x)=x|x|" is a "

Let A={x in R : |x+1| = |x|+1} and B ={x in R : |x-1| = |x|-1} , Then

Two numbers lambda, mu are chosen one after another at random (with replacement) from the set {a: 1le ale 10, a in N} . Find the probability that x^2 + lambdax + mu >0 for all x in R .

Let f : R to R be such that, f(2x-1)=f(x) for all x in R . If f is continuous at x = 1 and f(1)=1 then-

Whow many of solution of these equations 5x- y= 7 and x-y +1 = 0 will be ?

In the given figure, ABCD is trapezium whow diagonals AC and BD intersect at O such that OA=(3x-1) cm, (OB=(2x+1) cm, OC=(5x-3) cm and OD =(6x-5)cm . Then, x=?

Assertion (A): 1 Faraday of electricity deposits 1 g equivalent of Ag , Cu or Al . Reason (R) : 1 mole of electrons are required to reduce 1 mol e of Ag^(o+) or (1)/(2) mol e of Cu^(2+) or (1)/(3) mole of Al^(3+) ions.

Assertion (A): 1 Faraday of electricity deposits 1 g equivalent of Ag , Cu or Al . Reason (R): 1 mole of electrons are required to reduce 1 mol e of Ag^(o+) or (1)/(2) mol e of Cu^(2+) or (1)/(3) mole of Al^(3+) ions.