Home
Class 10
MATHS
Graphically, solve the following pair of...

Graphically, solve the following pair of equations
2x+y=6 and 2x-y+2=0
Find the ratio of the areas of the two triangles formed by the lines representing these equations with the X-axis and the lines with the y-axis.

Text Solution

AI Generated Solution

To solve the pair of equations graphically and find the ratio of the areas of the triangles formed by the lines with the x-axis and y-axis, we will proceed step by step. ### Step 1: Write the equations in standard form The given equations are: 1. \(2x + y = 6\) 2. \(2x - y + 2 = 0\) or equivalently \(2x - y = -2\) ### Step 2: Find the intercepts of the first equation ...
Promotional Banner

Topper's Solved these Questions

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    NCERT EXEMPLAR ENGLISH|Exercise Exercise 3.3 Short Answer Type Questions|22 Videos

  • INTRODUCTION TO TRIGoNOMETRY AND ITS APPLICATIONS

    NCERT EXEMPLAR ENGLISH|Exercise LONG ANSWER TYPES QUESTIONS|18 Videos

  • POLYNOMIALS

    NCERT EXEMPLAR ENGLISH|Exercise Long Answer Type Questions|6 Videos

Similar Questions

Explore conceptually related problems

Solve graphically the following pairs of equations : 2x+y=23 4x-y=19

Solve graphically the following pairs of equations : 3x+7y=27 8-y=5/2x

Find the area of the triangle formed by the lines y = x, y= 2x, y=3x+4

Find the area of the triangle formed by the lines y = x, y= 2x, y=3x+4

Solve graphically the following equations, x+2y=4,3x-2y=4 Take 2 cm=1 unit on each axis. Also find the area of the triangle formed by the lines and the x-axis.

Solve the following system of linear equations graphically: 4x-5y-20=0,\ \ \ 3x+5y-15=0 Determine the vertices of the triangle formed by the lines representing the above equation and the y-axis.

Draw the graphs of the equations x=3, x=5 and 2x-y-4=0. Also find the area of the quadrilateral formed by the lines and the X-axis.

Check graphically whether the pair of linear equation 4x-y-8=0 and 2x=3y-6=0 is consistent. Also, find the vertices of the triangle formed by these lines with the x-axis.

Draw the graph of the pair of equations 2x+y=4 and 2x-y=4. Write the vertices of the triangle formed by these lines and the y-axis, find the area of this triangle?

Solve graphically the following system of linear equations (use graph sheet) x-3y=3 2x+3y=6 Also , find the area of the triangle formed by these two lines and the y-axis.