The abscissa of a point is twice its ordinate and the sum of the abscissa and the ordinate is -6. What are the coordinates of the point?

(-4, -2)

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(4, -2)

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(4, 2)

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None of these

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Solution

The correct option is B (-4, -2)
Let abscissa $= x$
and ordinate $= y$
$x = 2 y$
and $x + y = - 6$
$2 y + y = - 6$
$3 y = - 6$
$y = - 2$
When, $y = - 2, x = - 4$
So, Coordinate is $(- 4, - 2)$

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