Home
Class 12
MATHS
Find the equation of the straight line w...

Find the equation of the straight line which makes equal intercepts on the axes and passes through the point `(1,-3).`

Text Solution

Verified by Experts

Let the equation of the line be
`x/a+y/b=1`
Since, it makes equal intercepts on the coordinate axes, thus `a=b.`
So, the equation of line is
`x/a+y/a=1`
`impliesx+y=a`
Now, the line passes through `(1,-3)` Thus
`1-3=a`
`=a=-2`
Thus the equatijo of the line is `x+y+2=0`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH INSTITUTE ENGLISH|Exercise TRY YOURSELF|23 Videos

  • STRAIGHT LINES

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION A) (OBJECTIVE TYPE QUESTIONS) (ONLY ONE ANSWER)|50 Videos

  • STATISTICS

    AAKASH INSTITUTE ENGLISH|Exercise Section-C Assertion-Reason|15 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - J|10 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the straight line which makes equal intercepts on the axes and passes through the point (2,3).

Find the equation of the line which makes equal intercepts on the axes and passes through the point (2, 3).

Find the equation of the straight line that (i)makes equal intercepts on the axes and passes through the point (2;3) (ii) passes through the point (-5;4) and is such that the portion intercepted between the axes is devided by the point in the ratio 1:2

Find the equation of the plane which cuts equal intercepts on the axes and passes through the point (2,3,5).

The line which cuts off equal-intercept from the axes and pass through the point (1,-2) is.

Find the equation of a line that cuts off equal intercepts on the coordinate axes and passes through the point (2, 3).

Find the equation of a line that cuts off equal intercepts on the coordinate axes and passes through the point (2, 3).

Find the equation of the straight line which cuts off equal and positive intercepts from the axes andpasses through the point (3, 4).

Find the equation of the line which cuts off equal and positive intercepts from the axes and passes through the point (alpha,beta)dot

A straight line that has equal intercepts on axes but opposite in magnitude and passing through the points (3, 2) is :