If following statement is true then write answer as $1$ , otherwise write $0$ .
$x + y = 16$ and $4 x + 9 y + 6 = 0$ are the equations of two lines which pass through the point $(2, 14) .$

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Solution

If the equations passes through the point, the co ordinates of the point should satisfy equations.
$x = 2$ and $y = 14$
We have equation $x + y = 16 \Rightarrow 2 + 14 = 16 \Rightarrow 16 = 16 ∴ L H S = R H S$
and similarly we have equation $4 x + 9 y + 6 = 0 \Rightarrow (4 \times 2) + (9 \times 14) + 6 = 8 + 126 + 6 = 140 ∴ L H S \neq R H S$
Therefore the statement is False and the answer is 0.

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