Straight LineHard
Question
Area of the parallelogram formed by the lines y = mx, y = mx +1, y = nx and y = nx +1 equals
Options
A.

B.

C.

D.

Solution

Let lines OB : y = mx
CA: y = mx + 1
BA: y = nx + 1
and OC : y = nx
The point of intersection B of
OB and AB has x coordinate

Now, area of a parallelogram
OBAC = 2 × EA OF ᐃOBA

depending upon whether m > n or m < n
Create a free account to view solution
View Solution FreeMore Straight Line Questions
The angle between the lines y − x + 5 = 0 and √3 x − y + 7 = 0 is -...Variable line ax + by + c = 0 passes a fixed point if a, b and c are three consecutive odd natural number, the fixed poi...The equation to a pair of opposite sides of a parallelogram are x2 − 5x + 6 = 0 and y2 − 6y + 5 = 0. The equ...The line L has intercepts a and b on the coordinate axes. When keeping the origin fixed, the coordinate axes are rotated...The point (a2, a + 1) lies in the angle between the lines 3x − y + 1 = 0 and x + 2y − 5 = 0 containing the o...