CHAPTER-3 PAIR OF LINEAR EQUATIONS IN TWO VARIABLES (SET-2)

Questions in this test

1. If $2x-3y=7$ and $(a+b)x-(a+b-3)y=4a+b$ represent coincident lines, then a and b satisfy the equation.
2. If a pair of linear equations in two variables is consistent, then the lines represented by two equations are
3. The area of triangle formed by the line $\frac{x}{a}+\frac{y}{b}=1$ with the coordinate area is
4. The area of $\Delta$ formed by the lines $y=x$ , $x=6$ and $y=0$ is
5. If the system of the equations $2x+3y=5$, $4x+ky= 10$ has infinitely many solutions, then k=?
6. If the system of equations $kx-5y=2$, $6x+2y=7$ has no solution, then k=?
7. The area of $\Delta$ formed by the lines $x=3$ , $y=4$ and $x=y$ is
8. If in a rectangle, the length is increased and breadth reduced by 2 units, the area is reduced by 28 sq units. If however the length is reduced by 1 unit and the breadth increased by 2 units, the area increased by 33 sq units, find the area of rectangle.
9. The incomes of x and y are in the ratio of 8:7 and their expenditures are in the ratio 19:16 if each saves Rs 1250, find their incomes of x and y?
10. 2 men and 7 boys can do a piece of work in 4 days. The same work is done in 3 days by 4 men and 4 boys. How long would it take one man and one boy to do it?