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Question
The points whose abscissa and ordinate have different signs will lie in ______.
Options
I and II quadrants
II and III quadrants
I and III quadrants
II and IV quadrants
Solution
The points whose abscissa and ordinate have different signs will lie in II and IV quadrants.
Explanation:
The points whose abscissa and ordinate have different signs will be of the form (–x, y) or (x, –y) and these points will lie in II and IV quadrants.
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The given points are collinear, so the area of the triangle formed by them is `square`.
∴ `1/2 |x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)| = square`
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