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Let are the intercepts of a line then intercepts of a line which is perpendicular to the line and passing through the point is
detailed solution
Correct option is C
Equation of the line which makes intercepts a,b in axes is xa+yb=1, its slope is −ba Hence the slope of the line which makes intercepts 3,4 on axes is −43 Since required line is perpendicular to the above line, its slope is 34 Equation of the line passing through (1,3) and having slope 34 is y−3=34(x−1)Simplify 4y−12=3x−33x−4y=−9x−3+y94=1 Therefore, the intercepts are −3,94Talk to our academic expert!
Similar Questions
The equation of the straight line which passes through the point such that the portion of the line between the axes is divided internally by the point in the ratio 5:3 is
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