State whether the given statement is True or False,
Points (1,1) and (1,−1) lie in the same quadrant.
A
True
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B
False
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Solution
The correct option is B False
The coordinate of a point P having abscissa x and ordinate y may be P(+x,+y) in the Ist quadrant, P(-x,+y) in the IInd quadrant, P(-x,-y) in the IIIrd quadrant, P(+x,-y) in the IVthquadrant.
So, the point (1,1) will lie in the Istquadrant.
The point (−1,1) will lie in the IInd quadrant.∴
The statement that points (1,1) & (−1,1) lie in the same quadrant is False.