Search any question & find its solution
Question:
Answered & Verified by Expert
If non-zero numbers $a, b, c$ are in H.P., then the straight line $\frac{x}{a}+\frac{y}{b}+\frac{1}{c}=0$ always passes through a fixed point. That point is
Options:
Solution:
1313 Upvotes
Verified Answer
The correct answer is:
$(1,-2)$
$(1,-2)$
a, b, c are in H.P.
$$
\begin{aligned}
& \Rightarrow \frac{2}{b}-\frac{1}{a}-\frac{1}{c}=0 \\
& \frac{x}{a}+\frac{y}{b}+\frac{1}{c}=0 \\
& \Rightarrow \frac{x}{-1} \quad-\frac{1}{-1} \quad \therefore x=1, y=-2
\end{aligned}
$$
$$
\begin{aligned}
& \Rightarrow \frac{2}{b}-\frac{1}{a}-\frac{1}{c}=0 \\
& \frac{x}{a}+\frac{y}{b}+\frac{1}{c}=0 \\
& \Rightarrow \frac{x}{-1} \quad-\frac{1}{-1} \quad \therefore x=1, y=-2
\end{aligned}
$$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.