Q20 of 186 Page 3

Use a single graph paper and draw the graph of the following equations. Obtain the vertices of the triangle so formed:

y = x


Y = 2x


x + y = 6

The given equation is


y = x


y = 2x


and x + y = 6


Now, let us find atleast two solutions of each of the above equations, as shown in the following tables.


Table for y = x



Now, table for y = 2x



Now, table for x + y = 6 or y = 6 – x




The coordinates of the vertices of ∆PQR are P(0, 0), Q(2, 4)and R(3, 3)


More from this chapter

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19

Draw the graphs of the following equations 3x — 4y + 6 = 0; 3x + y — 9 = 0.

Also, determine the coordinates of the vertices of the triangle formed by these lines and the x – axis.

 20

Use a single graph paper and draw the graph of the following equations. Obtain the vertices of the triangle so formed:

2y – x = 8


5y – x = 14


y – 2x = 1

 20

Use a single graph paper and draw the graph of the following equations. Obtain the vertices of the triangle so formed:

y = x


3y = x


x + y = 8

 11

Find the values of a and b for which the following system of linear equations has infinitely many solutions:

2x + 3y = 7, (a + b) x + (2a – b) y = 3(a + b + 1)