Q206 / 270 · NDA 2023 (Phase 1) · Mathematics

Paragraph: A quadrilateral is formed by the lines $\mathrm{x}=0, \mathrm{y}=0$. $\mathrm{x}+\mathrm{y}=1$ and $6 x+y=3$.
Question: What is the equation of other diagonal?

  • A
    $x+2 y-1=0$
  • B
    $x-2 y-1=0$
  • C
    $2 x+y+1=0$
  • Correct answer
    D
    $2 x+y-1=0$

Solution

$6 x+y=3$ $\frac{x}{\left(\frac{1}{2}\right)}+\frac{y}{3}=1$ $\Rightarrow \quad A\left(\frac{1}{2}, 0\right)$ and $x+y=I$ $\Rightarrow \quad B(0,1)$. Equation of diagonal $A B$, $y-0=\frac{1-0}{0-\frac{1}{2}}\left(x-\frac{1}{2}\right)$ $2 x+y-1=0$.

Hence, the correct answer is option: 'D'.

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