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  4. The line through the points (a, b) and (-a, -b) passes through the point

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Q. The line through the points $(a, b)$ and $(-a, -b)$ passes through the point

WBJEEWBJEE 2016Straight Lines

Solution:

The line through $(a, b)$ and $(-a, -b)$ has the equation $bx = ay$. Hence, $(a^2, ab)$ is always on the line.