Home
Class 14
MATHS
For any two real numbers a and b, sqrt...

For any two real numbers a and b,
`sqrt((a-b)^2)+sqrt((b-a)^2)` is

A

always zero

B

never zero

C

positive only if `a ne b`

D

positive if and only if `agt b `

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

If a gt b gt 0 are two real numbers, the value of, sqrt(ab+(a-b)sqrt(ab+(a-b)sqrt(ab+(a-b)sqrt(ab+….)))) is

For any two real numbers a and b,we define a R b if and only if sin^(2)a+cos^(2)b=1. The relation R is

(a+c sqrt(b))(2+y sqrt(b))

If a>b>0 are two real numbers, then the value of sqrt(a b+(a-b)sqrt(a b+(a-b)sqrt(a b+(a-b)sqrt(a b+.....)))) is

Show that the statement For any real numbers a and b,a^(2)=b^(2) implies that a=b is not true by giving a counter example

If a,b,c are positive real numbers,then sqrt(a^(-1)b)x sqrt(b^(-1)c)x sqrt(c^(-1)a) is equal to: 1 (b) abc(c)sqrt(abc)(d)(1)/(abc)

In each of the following determine rational number a and b:(3+sqrt(2))/(3-sqrt(2))=a+b sqrt(2) (ii) (5+3sqrt(3))/(7+4sqrt(3))=a+b sqrt(3)

If a and b are two rational numbers and (2+sqrt(3))/(2-sqrt(3))=a+bsqrt(3) , what is the value of b ?