MathematicsIf 2

If $2 < a < 4$ then $\sqrt{{(a - 2)}^{2}} + \sqrt{{(a - 4)}^{2}} =$

A
$2 a - 6$
B
$- 2 a + 6$
C
$2$
D
$- 2$

Solution:

$| a - 2 | + | 4 - a | = a - 2 + 4 - a = 2 (∵ 2 < a < 4)$

Related content

Area of Square

Area of Isosceles Triangle

Pythagoras Theorem

Triangle Formulae

Perimeter of Triangle Formula

Area Formulae

Volume of Cone Formula

Matrices and Determinants_mathematics

Critical Points Solved Examples

Type of relations_mathematics