Q. 3 A3.6( 5 Votes )
Find the area of the triangle formed by the lines
y = m1x + c1, y = m2x + c2 and x = 0
Answer :
Given:
y = m1x + c1 … (1)
y = m2x + c2 … (2)
x = 0 … (3)
Explanation:
In triangle ABC, let equations (1), (2) and (3) represent the sides AB, BC and CA, respectively. Solving (1) and (2):
Thus, AB and BC intersect at B 
Solving (1) and (3):
x = 0, y = c1
Thus, AB and CA intersect at A 0,c1.
Similarly, solving (2) and (3):
x = 0, y = c2
Thus, BC and CA intersect at C 0,c2.
∴ Area of triangle ABC = 
Rate this question :
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 - 0665 mins
Motion in a Straight Line - 0556 mins
Motion in a Straight Line - 0372 mins
Motion in a Straight Line - 1169 mins
Find the equation of the line drawn through the point of intersection of the lines x + y = 9 and 2x – 3y + 7 = 0 and whose slope is 
.
Find the equation of the line drawn through the point of intersection of the lines x – y = 7 and 2x + y = 2 and passing through the origin.
RS Aggarwal - MathematicsFind the equation of the line drawn through the point of intersection of the lines x – 2y + 3 = 0 and 2x – 3y + 4 = 0 and passing through the point (4, -5).
RS Aggarwal - MathematicsFind the equation of the line through the intersection of the lines 2x – 3y + 1 = 0 and x + y – 2 = 0 and drawn parallel to y-axis.
RS Aggarwal - MathematicsFind the equation of the line through the intersection of the lines x – 7y + 5 = 0 and 3x + y – 7 = 0 and which is parallel to x-axis.
RS Aggarwal - MathematicsFind the equation of the line through the intersection of the lines 2x – 3y = 0 and 4x – 5y = 2 and which is perpendicular to the line x + 2y + 1 = 0.
RS Aggarwal - MathematicsFind the equation of the line through the intersection of the lines 5x – 3y = 1 and 2x + 3y = 23 and which is perpendicular to the line 5x – 3y = 1.
RS Aggarwal - MathematicsFind the equation of the line drawn through the point of intersection of the lines x – y = 1 and 2x – 3y + 1 = 0 and which is parallel to the line 3x + 4y = 12.
RS Aggarwal - MathematicsFind the equation of the line passing through the intersection of the lines 2x + y = 5 and x + 3y + 8 = 0 and parallel to the line 3x + 4y = 7.
RD Sharma - MathematicsProve that the lines 
, 
, 
and 
form a rhombus.
