The condition for the following system of linear equations to have a unique solution is
ax + by = c
lx + my = n
am = bl
am ≠ bl
al = bm
al ≠ bm
If the pair of linear equations 2x - y -3 = 0, 2kx + 7y - 5 = 0 has a unique solution x = 1, y = -1, then the value of k is
3
4
6
-6
The line 2x + 3y = 6 cut the x - axis at
(0, 3 )
(3, 0 )
( 0, 0 )
( 3, 3 )
The pair of lines5 x - 4 y + 8 = 07 x + 6 y - 9 = 0 represents
parallel lines
coincident lines
intersecting lines
perpendicular lines
If the units and tens digit of a two digit number are y and x, then the number is
10 y + x
10 x + y
x + y
xy
Find the area of the triangle formed by the coordinate axes and the line x + y = 6.
12
18
36
If the pair of linear equations 6x - 2y - 3 = 0, kx - y -2 = 0 has a unique solution, then the value of k is
k = 3
k ≠ 3
k = 4
k ≠ 4
If the pair of linear equations 5x + ky = -7, x + 2y = 3 is inconsistent, then the value of k is
k = 2/5
k ≠2/5
k = 10
k ≠ 10
The pair of linear equations 3x + 4y = k, 9x + 12y = 6 has infinitely many solutions if the value of k is
k = 2
k = 6
k ≠ 6
The larger of two supplementary angles exceeds the smaller by 18 degrees. Find them.
98°, 80°
99°, 81°
118°, 100°
100°, 80°
