Find the equation of the straight line which passes through the point `(1-2)` and cuts off equal intercepts from axes.
Text Solution
Verified by Experts
The correct Answer is:
N/a
Let the intercepts along the X and Y - axes are a and a respectively. `therefore` Equation of the line is `(x)/(a)+(y)/(a)=1` Since, the point (1-2)lies on the line , `therefore (1)/(a)-(2)/(a)=1` `rArr (1-2)/(a)=1` `rArr a=-1` On putting a =-1in Eq.(i),we get `(x)/(-1)+(y)/(-1)=1` `rArr x+y=-1rArrx+y+1=0`
Topper's Solved these Questions
STRAIGHT LINES
NCERT EXEMPLAR ENGLISH|Exercise Long Answer type|9 Videos
STRAIGHT LINES
NCERT EXEMPLAR ENGLISH|Exercise Objective type questions|20 Videos
Find the equation of the straight line whichpasses through the point (2, 3) and cuts off equal intercepts on the axes.
Find the equation of the straight line which passes through the point (-3, 8) and cuts off positive intercepts on the coordinate axes whose sum is 7.
Find the equation of the striaght line which passes through the point (3, -2) and cuts off positive intercepts on the x and y-axes which are in the ratio 4 : 3 .
Find the equation of the straight line which passes though (1,-2)a n d cuts off equal intercepts on the axes.
Find the equation of the straight lines each of which passes through the point (3,2) and cuts off intercepts a and b respectively on x and y - axes such that a-b=2.
Find the equation of the straight line passing through the point (2, 3) and cutting off (a) equal intercepts along the positive directions of both the axes, (b) intercepts equal in magnitude and opposite in sign.
Find the equation of the straight line which passes through the points (3, 4) and has intercepts on the axes such that their sum is 14.
Find the equation to the straight line which passes through the point (5,6) and has intercepts on the axes. i)equal in magnitude and both postive ii)equal in magnitude but opposite in sign
Find the equation of the straight line which passes through the point (2, 3) and whose intercept on the x-axis is double that on the y-axis.
Find the equation of the straight line which passes through the point (5, 6) and has intercept on the axes euqal in magnitude but opposite in sign.
NCERT EXEMPLAR ENGLISH-STRAIGHT LINES-MATCHING THE COLUMN