$$5x+7y=1$$ $$ax+by=1$$<br/><br/>In the given pair of equations, $a$ and $b$ are constants. The graph of this pair of equations in the $xy$-plane is a pair of perpendicular lines. Which of the following pairs of equations also represents a pair of perpendicular lines?

MM

Mashaal Masha

Apr 12, 2024

$$5x+7y=1$$ $$ax+by=1$$ In the given pair of equations, $a$ and $b$ are constants. The graph of this pair of equations in the $xy$-plane is a pair of perpendicular lines. Which of the following pairs of equations also represents a pair of perpendicular lines?

Difficulty: Hard

A:

$10x+7y=1$ $ax-2by=1$

B:

$10x+7y=1$ $ax+2by=1$

C:

$10x+7y=1$ $2ax+by=1$

D:

$5x-7y=1$ $ax+by=1$

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