Question

If the line represented by 3x + $\beta$y = 8 passes through (2, 2) then the value of $\beta$ is

• A. $0$
• B. $1$
• C. $2$
• D. $3$

Answer 1

The correct option is B $1$

If the line passes through (2,2) means the value of x=2 and value of y=2 then if we take option A then

$3x+\beta y=8$

If we take $\beta =0$then

$\Rightarrow 3\times 2+0\times 2=8$

$\Rightarrow 6=8$

Hence LHS$\ne$RHS

If we take option B then $\beta =1$

$\Rightarrow 3\times 2+1\times 2=8$

$\Rightarrow 6+2=8$

$\Rightarrow 8=8$

Hence $LHS=RHS$

Hence the value of $\beta =1$