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Condition for Two Lines to Be Parallel

The points ...

Question

The points $(6, 12)$ and $(0, - 6)$ are connected by a straight line. Another point on this line is:

(3, 3)

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(2, 1)

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(7, 16)

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(-1, -4)

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Solution

The correct option is B (3, 3)
Equation of the line joining (6, 12) and (0, -6)
$⟹ (y - 12) = (\frac{12 - (- 6)}{6 - 0}) (x - 6) ⟹ (y - 12) = 3 (x - 6) ⟹ y - 12 = 3 x - 18 ⟹ y = 3 x - 6$
(3, 3) is another point on the line $y = 3 x - 6$

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