Mahabir Singh Solutions for Chapter: Pair of Linear Equations in Two Variables, Exercise 3: ACHIEVERS SECTION (HOTS)

Which of the following graphs represent the lines $2x+4y=8$ and $3x-4y=12$?

Solve for x and y in the following equation.

$\frac{2}{x+2y}+\frac{1}{2x-y}+\frac{5}{9}=0$

$\frac{9}{x+2y}+\frac{6}{2x-y}+4=0$

Read the statements carefully and state ‘T’ for true and ‘F’ for false.
(i) The pair of linear equations $x+2y=5$ and $7x+3y=13$ has unique solution $x=2,y=1$
(ii) $\sqrt{2x}+\sqrt{3}y=0,\sqrt{3}x-\sqrt{8}y=0$has no solution.
(iii) the values of p and q for which the following system of equations $2x-y=5,\left(p+q\right)x+\left(2p-q\right)y=15$ has infinite number of solutions, is $p=1$ and $q=5$.