Search any question & find its solution
Question:
Answered & Verified by Expert
If the coordinates of the points $A$ and $B$ be $(3,3)$ and $(7,6)$, then the length of the portion of the line $\mathrm{AB}$ intercepted between the axes is
Options:
Solution:
1071 Upvotes
Verified Answer
The correct answer is:
$\frac{5}{4}$
Equation of line $A B$ is $y-3=\frac{6-3}{7-3}(x-3)$
$\Rightarrow 3 x-4 y+3=0 \Rightarrow \frac{x}{-1}+\frac{y}{3 / 4}=1$
Hence required length is $\sqrt{(-1)^2+\left(\frac{3}{4}\right)^2}=\frac{5}{4}$.
$\Rightarrow 3 x-4 y+3=0 \Rightarrow \frac{x}{-1}+\frac{y}{3 / 4}=1$
Hence required length is $\sqrt{(-1)^2+\left(\frac{3}{4}\right)^2}=\frac{5}{4}$.
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.