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  • State whether the statements are true or false. The straight line 5x + 4y = 0 passes through the point of intersection of the straight lines x + 2y – 10 = 0 and 2x + y + 5 = 0.

State whether the statements are true or false.

The straight line 5x + 4y = 0 passes through the point of intersection of the straight lines x + 2y – 10 = 0 and 2x + y + 5 = 0.

Answers (1)

Given equations are x+2y-10=0….(i)  and 2x+y+5=0…..(ii)

  The point of intersection is obtained by solving them together i.e. \left ( -\frac{20}{3} ,\frac{25}{3}\right )

If the given line 5x+4y=0 passes through the point \left ( -\frac{20}{3} ,\frac{25}{3}\right )then 5\left ( -\frac{20}{3} \right )+4\left ( \frac{25}{3} \right )=0

-\frac{100}{3}+ \frac{100}{3} =0

   0=0 

So, the given line passes through the point of intersection of the given lines.

 Hence, the given statement is True.

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infoexpert22

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