Quantitative Aptitude Ques 1697
Question: Find the equation of the line which makes equal intercepts on the axis and passes through the point (4, 5).
Options:
A) $ x+y=9 $
B) $ x+2y=7 $
C) $ 2x+2y=7 $
D) $ 2x+y=7 $
E) None of the above
Show Answer
Answer:
Correct Answer: A
Solution:
- Let intercepts made by line be a. Equation of line is $ \frac{x}{a}+\frac{y}{a}=1 $
$ \Rightarrow $ $ x+y=a $ … (i) But this line passes through (4, 5).
$ \therefore $ $ 4+5=a $
$ \Rightarrow $ $ a=9 $
On putting this value in Eq. (i), we get
$ x+y=9 $
BETA
