Manipal MET2010MathematicsStraight Lines
The equation of the straight line which passes through the intersection of the lines x-y-1=0 and 2 x-3 y+1=0 and is parallel to x -axis, is
Options
- Ay=3
- By=-3
- Cx+y=3
- DNone of these
Correct answer
A. y=3
Step-by-step solution
The equation of any line through the point of intersection of the lines x-y-1=0 and 2 x-3 y+1=0 is (x-y-1)+ (2 x-3 y+1)=0 (2 +1) x-y(3 +1)+( -1)=0...(i) The line in Eq. (i) will be parallel to x -axis, if it is of the form y= constant, therefore coefficient of x in Eq. (i) =0 ie, 2 +1=0 =- 1 2 On putting =- 1 2 in Eq. (i), we get y=3 This is the equation of the required line.