Question

Choose the correct option for 'a' and 'b' respectively from those given below: $3^2$ + $a^2$ = $b^2$

• A. 1,6
• B. 2,5
• C. 4,5
• D. 7,9

Answer 1

The correct option is C 4,5

$m^2$ - 1, 2m, $m^2$ + 1 form a Pythagorean triplet

As the given number (3) is odd, it can't be of the form 2m.

So,$m^2-1=3$

$\Rightarrow m^2$= 4 → 4 is a perfect square.
So, m = 2

Hence, 2m = 2 x 2 = 4

and

$m^2$ + 1 = 2² + 1 = 4 + 1 = 5

So, a = 4
and b = 5