Q117 / 160 · AP EAMCET 2020 (18 Sep Shift 2) · Mathematics

If the slope of the line \(a x+(3-a) y+7=0\) is 7 then the value of integral part of ' \(a\) ' is

  • Correct answer
    A
    3
  • B
    7
  • C
    0.5
  • D
    3.5

Solution

Given line \(a x+(3-a) y+7=0\) Given slope \(=7\) \(\begin{aligned} \Rightarrow \frac{-a}{3-a} & =7 \\ \frac{a}{3-a} & =7 \\ a & =7 a-21 \\ 6 a & =21 \\ a & =\frac{7}{2} \\ a & =3.5 \\ a & =3+0.5 \\ {[a] } & =3 \end{aligned}\) Hence, option (a) is correct.

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

Relevant Questions