**TEST**

PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

**1.** What types of lines do the pair of equations x=c and y=c represent graphically? (1).

**2.** A boat is moving at the rate of 5km/h in still water, takes thrice as much as time in going 40 km upstream as in going 40 km downstream. Find the speed of the stream. (3).

**3.** Find the value of m, when (m+1)x=3ky+15=0 and 5x+ky+5=0 are coincident. (3)

**4.** Write the pair of linear equations which have solutions x=2, y=-2. (1)

**5.** Solve it on a graph 4x-3y+4=0, 4x+3y-24=0. (3)

**6.** If we have two variables x and y when x=a and y=b is the solution of equations x-y=2 and x+y=4, then what will be the value of a and b. (3)

**7.** Use cross multiplication method to solve ax+bx=a-b, bx-ay=a+b. (3)

**8.** Whether this pair of linear equations is consistent. Find x-2y=6, 3x-6y=0. (1)

**9.** A number is a two digit number which is three times more than 4 times the sum of the digits. If 18 is added to the number, the digits gets opposite. Represent geometrically. (4)

**10.** The addition of numerator and denominator of a fraction is three less than twice the denominator. If the numerator and denominator are decreased by 1, the numerator becomes half the denominator. Find the fraction. (3)