Q. 145.0( 1 Vote )

# Write the area of the figure formed by the lines a|x| + b|y| + c = 0

Given:

a x + b y + c = 0; x, y 0 … (1)

-a x + b y + c = 0; x < 0 y 0 … (2)

-a x – b y + c = 0; x < 0 y < 0 … (3)

a x – b y + c = 0; x 0 y < 0 … (4)

To find:

The area of the figure formed by the lines a|x| + b|y| + c = 0

Explanation:

The given lines can be written separately in the following way:

a x + b y + c = 0; x, y 0 … (1)

-a x + b y + c = 0; x < 0 y 0 … (2)

-a x – b y + c = 0; x < 0 y < 0 … (3)

a x – b y + c = 0; x 0 y < 0 … (4)

The lines and the region enclosed between them is shown below.

So, the area of the figures formed by the lines a |x| + b |y| + c = 0 is

Square units

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Various Forms of Equations of line45 mins
Parametric Equations of Straight line48 mins
Slope, inclination and angle between two lines48 mins
Interactive Quiz on Equations of line23 mins
Straight line | Analyse your learning through quiz56 mins
General Equation of a line43 mins
Motion in a Straight Line - 0372 mins
Motion in a Straight Line - 0665 mins
Motion in a Straight Line - 0556 mins
Motion in a Straight Line - 0261 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses