Straight line

1. Show that the point M(-3,2) outside the triangle whose sides are given by the equations
x+y-4=0, 3x-7y+8=0 and 4x-y-31=0
2. One diagonal of a square is the portion of the line 7x+5y=35 intercepted by the axes. Obtain the extremities of the other diagonal.

3 Answers

1357
Manish Shankar ·

for (2)

The two points of square are (5,0) and (0,7) and midpoint is (5/2,7/2)

Find the equation of other diagonal, and points at distance √74/2

1357
Manish Shankar ·

for 1 try taking two lines at a time

1
Mayukh Nath ·

Solved the other myself. Thanks for the hints.

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