Q. 2 A4.0( 5 Votes )

# Find the coordinates of the vertices of a triangle, the equations of whose sides are :

x + y – 4 = 0, 2x – y + 3 0 and x – 3y + 2 = 0

Answer :

Given:

x + y − 4 = 0, 2x − y + 3 = 0 and x − 3y + 2 = 0

To find:

Point of intersection of pair of lines.

Concept Used:

Point of intersection of two lines.

Explanation:

x + y − 4 = 0 … (1)

2x − y + 3 = 0 … (2)

x − 3y + 2 = 0 … (3)

Solving (1) and (2) using cross - multiplication method:

⇒ x = 1/3, y = 11/3

Solving (1) and (3) using cross - multiplication method:

⇒ x = 5/2, y = 3/2

Similarly, solving (2) and (3) using cross - multiplication method:

⇒ x = - 7/5, y = 1/5

Hence, the coordinates of the vertices of the triangle are

Rate this question :

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 .

RS Aggarwal - MathematicsFind 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.

RD Sharma - Mathematics