Question

If a and b are negative integers and a > b, then the point (a + b, a-b) will lie in
4th quadrant
2nd quadrant

1st quadrant
3rd quadrant​

Answer 1

2nd quadrant is the ans

Answer 2

$Given \: If \: 'a' \: and \: 'b' \: are \: negative \\integers \: and \: a \gt b , then \: the \: point \\(a+b , a-b) \: will \: lie \: in \\\underline{\green { 2^{nd}\: Quadrant }$

Example:

$Let \: a = -2 \: and \: b = -5$

$i ) a + b\\ = -2 + (-5 ) \\= -2 - 5 \\= -7 \lt 0$

$ii) a - b \\= -2 - (-5) \\= -2 + 5 \\ = 3 \gt 0$

$\therefore ( a+b , a-b ) = ( -7, 3)$

$\green { Lie \: in \: 2^{nd} \: Quadrant }$

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