. The residents of a housing society, on the occasion of environment day, decided to build
two straight paths in the central park of the society and also plant trees along the
boundary lines of each path.
Taking one corner of the park as origin and the two mutually perpendicular lines as the
x-axis and y-axis, the paths were represented by the two linear equations 2x 3y = 5
and 6x + 9y = 7.
Based on the above, answer the following questions :
(i) Two paths represented by the two equations here are 1
(A) intersecting
(B) overlapping
(C) parallel
(D) mutually perpendicular
(ii) Which one of the following points lie on the line 2x 3y = 5 ? 1
(A) ( 4, 1)
(B) (4, 1)
(C) (4, 1)
(D) ( 4, 1)
(iii) If the line 6x + 9y = 7 intersects the y-axis at a point, then its coordinates are : 1
(A) 9
7
0, (B) , 0
9
7
(C) , 0
6
7
(D) 6
(iv) If a pair of equations a1
x + b1
y + c1
= 0 and a2
x + b2
y + c2
= 0 has a unique
solution, then 1
(A)
2
1
2
1
2
1
c
c
b
b
a
a
(B)
2
1
2
1
b
b
a
a
(C)
2
1
2
1
2
1
c
c
b
b
a
a
(D)
2
1
2
1
2
1
c
c
b
b
a
a
(v) If
2
1
2
1
2
1
c
c
b
b
a
a
, then the two lines a1
x + b1
y + c1
= 0 and a2
x + b2
y + c2
= 0 are 1
(A) parallel
(B) coincident
(C) intersecting
(D) perpendicular to each other
0 Comments