Question

Fill in the blank..

If a>0 and b<0 then the image of (a, b) in Y-axis lies in ____ quadrant.

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Answer 1

$if \: a > 0 \\ then \: a \: is \: a \: positive \: integer \\ if \: b < 0 \\ then \: b \: is \: negative \: integer \\ therefore \: (a.b) \: lies \: in \: 4t h\: quadrant$

Answer 2

Image of point (a , b) in Y axis  lies in Quadrant |||    if a > 0 and b < 0

Given : a> 0  and b < 0  

To Find :  Image of (a , b) lies in which Quadrant

Solution:

Quadrant |     x  is + ve   and  y  is  + ve

Quadrant ||     x  is  - ve   and  y  is  + ve

Quadrant |||     x  is - ve   and  y  is  - ve

Quadrant |V     x  is + ve   and  y  is - ve

Image of point (x , y )  in X axis  is ( x , - y)

Image of point (x , y )  in Y axis  is ( -x ,  y)

Image of point (a , b) in Y axis  is  ( -a , b )

a > 0  => -a < 0  hence -a is -ve

b < 0   => b is - ve

Hence Image of point (a , b) in Y axis  is  ( -ve , - ve)

so  Image of point (a , b) in Y axis  lies in Quadrant |||  

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