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3x − 4y + 9 =
by the plane r (2i+6j+3k) = 70.
x - y = 1 find the vertices of the triangle and illustrate with a sketch.
2. Show that the three lines given by the equations 3x + 5y + 7 = 0, x + 2y + 2 = 0 and 2x - y + 9 =0 are concurrent (i. e. Pass through the one point)
a) x + 3y = 9 and 5x - 2y = 11
b) 4x + 3y =8 and 6x - 2y = - 14
c) 3x + 2y - 7 =0 and 5x - 6y = 7
2. Find the equation of the straight line which passes through the origin and through the point of intersection of the lines 4x - y- 3 =0 and x + 2y - 12=0
deep at the centre and 10m across. Obtain an equation of the surface.
x + y = 0 and it passes through (1,4) Also identify the conic and reduce the conic you obtained above to standard form.
Draw a rough sketch of the conic obtained above.