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 a,b,c are positive real numbers, then the number of real roots of the equation ax^2+b|x|+c is

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

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

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

If a, b are positive real numbers such that a-b=2, then find the smallest value of the constant L for which sqrt(x^2+ax)-sqrt(x^2+bx) 0.

If x is a positive real number and x^2=2, then x^3= (a) sqrt(2) (b) 2sqrt(2) (c) 3sqrt(2) (d) 4

If a ,b ,c are three distinct positive real numbers, the number of real and distinct roots of a x^2+2b|x|-c=0 is 0 b. 4 c. 2 d. none of these

If a ,b ,c are three distinct positive real numbers, the number of real and distinct roots of a x^2+2b|x|-c=0 is 0 b. 4 c. 2 d. none of these