Let `a;b` be positive real no. ; `alt|x|ltb` (ii) `ale|x|leb` (iii) `ale|x-c|leb` (iv)`alt|x-c|ltb`

If a is a positive real no.then (i)|x|

If r is a positive real no. and a be a fixed real no. then find the range of x in (i) |x-a|ltr(ii)|x-a|ler(iii)|x-a|gtr(iv) |x-a|ger

Let a and b be two positive real numbers. Then the value of int_(a)^(b)(e^(x//a)-e^(b//x))/(x)dx is

Let a, b and c be fixed positive real numbers. Let f (x)=(ax)/(b+cx) for x le 1 . Then as x increases,

Write the negation of the following statements: (i) p : For every positive real number x, the number x" "-" "1 is also positive. (ii) q : All cats scratch. (iii) r : For every real number x, either x" ">" "1 or x" "<" "1 . (iv) s : There exist

Let f(x)=a^2+e^x, -oo 3 where a,b,c are positive real numbers and is differentiable then

If a,b,c are positive real numbers; then the value of x that minimizes sqrt(a^(2)+x^(2))+sqrt((b-x)^(2)+c^(2))

If alpha and beta (alphaltbeta) are the roots of the equation x^2+bx+a=0, where alt0ltb, then (A) alphagt0 (B) alphalt0 (C) betalt0 (D) betalt|alpha|

Graph of Quadratic funtion f(x)=ax^2+bx+c for different cases (i) If agt0 and Dlt0 (ii) alt0 and Dlt0 (iii)agt0 and D=0 (iv) agt0 and Dgt0 (v) alt0 and D=0 (vi) alt0 and Dgt0

If a,b,c are positive real numbers.then the number of real roots of the equation ax^(2)+b|x|+c=0 is