of intersection of the lines x - 2y - 3 = 0 and x + 3y-6 = 0.
10. Find the equation of the straight line perpendicular to the line 2x + 3y=0 and passing through the
point of intersection of the lines x + 3y-1 = 0 and x - 2y + 4 = 0.
Find the equation of the straight line making non-zer equal intercepts on the coordinate axes and
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Answer:
Step-by-step explanation:
Given lines x−y−1=0 to 2x−3y+1=0
Intersection point
→x=y+1
→2(y+1)−3y+1=0
→2y+2−3y+1=0
→3=y
→x=3+1=4
Point (4,3)
(i) parallel to x-axis and passes through (4,3)y=3
(ii) parallel to y-axis and passes through (4,3)x=4
(iii) parallel to 3x+4y=14 any line parallel to 3x+4y can be written as
→3x+4y=c
→3(4)+4(3)=c
→24=c
so, equation of line =3x+4y=24
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