Topic: Engineering Mathematics
Equation of a straight line passing through the point (-1, 2) and making equal intercepts on the axes is
- A. $x-y=1$
- B. $x-2y=1$
- C. $x+y=1$
- D. $x-y=2$
Answer: C. $x+y=1$
Explanation: Equation of a straight line in intercept form is $\frac{x}{a} + \frac{y}{b} = 1$. Since intercepts are equal, $a=b$, making the equation $x+y=a$. It passes through $(-1, 2)$, so substituting $x = -1$ and $y = 2$, we get $-1+2=a \Rightarrow a=1$. The equation is $x+y=1$.