Home
Class 12
MATHS
Find the equation of a straight line cut...

Find the equation of a straight line cutting off and intercept -1 from y-axis and being equally inclined to the axes.

Text Solution

Verified by Experts


Since the required line is equally inclined with the coordinate axes, it makes an angle of either `45^(@) " or" 135^(@)` with x-axis.
So, its slope is either m = tan `45^(@) " or m" = tan 135^(@)`, i.e., m= 1 or-1.
It is given that c=-1. Hence, the equations of the lines are
y=x-1 and y=-x-1
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE|Exercise Exercise 2.1|23 Videos
  • STRAIGHT LINES

    CENGAGE|Exercise Exercise 2.2|4 Videos
  • STRAIGHT LINE

    CENGAGE|Exercise Multiple Correct Answers Type|8 Videos
  • THEORY OF EQUATIONS

    CENGAGE|Exercise JEE Advanced Previous Year|9 Videos

Similar Questions

Explore conceptually related problems

Find the equation of a straight line cutting off an intercept -2 from the y-axis and being equally inclined to the axes.

Find the equation of a straight line cutting off an intercept-1from the y-axis and being equally inclined to the axes.

Find the equation of the straight lines which cut off an intercept 4 from the y-axis and are equally inclined to the axes.

Find the equation of the straight lines which cut off an intercept 5 from the y-axis and are equally inclined to the axes.

Find the equation of the line cutting off an intercept -7 from the axis of x and is equally inclined to the axes.

Find the equation of the line cutting off an intercept-2 from the y-axis and equally inclined to the axes.

Find the equation to the straight line: cutting off intercepts 3 and 2 from the axes.

Find the equation to the straight line: cutting off intercepts -5 and 6 from the axes.

Find the equation of the line which cuts off an intercept -5 on y-axis and has slope 1/2 .