Asked in PPSC, FPSC and other one-paper exams (compiled from unofficial resources).
Geometry & MensurationCoordinate Geometry
Two perpendicular lines are given by the equations $y = \frac{a}{b}x + c$ and $y = \frac{d}{e}x + c$, where $a, b, c, d, e$ are constants. If $0 < \frac{a}{b} < 1$, which of the following must be true?
- A.$\frac{d}{e} < -1$
- B.$-1 < \frac{d}{e} < 0$Correct answer
- C.$0 < \frac{d}{e} < 1$
- D.$\frac{d}{e} > 1$
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Practice these MCQs in the appQuick fact: For perpendicular lines, the product of their slopes is $-1$, so if $0 < \frac{a}{b} < 1$, then $\frac{d}{e}$ must satisfy $-1 < \frac{d}{e} < 0$.