Online test Mathematics X - Linear equations in 2 variables

Online test Mathematics X - Linear equations in 2 variables

total time available - 20 minutes





Question 1: A equation in the form of ax+ by + c = 0, where a, b and c are real numbers and _______ is a linear equation in 2 variables
a^2 + b^2 not equal to 0
a not equal to zero
b not equal to zero
values of a, b have no effect


Question 2: Solution of linear equation in 2 variable is pair of values of two variables which makes _________
x = y
two sides of equation equal
x = 0
y = 0


Question 3: A pair of linear equations in two variables may have ________
infinitely many solutions
a unique solution
No solution
all of the above


Question 4: For what value/ values of p will the following system of equations has infinitely many solutions?
px + 3y - p + 3 = 0, 12x + py - p = 0
p = + - 6
p = 6
p = - 6
None of the Above


Question 5: Solve the equations x + y = 3 and x + 5y = 12, graphically. The area of the triangle formed by these lines
and x axis is ______ suare units.
4
3
5
None of the Above


Question 6: A purse contains Rs 16.50 in 25 paise and 10 paise coins. If the number of 25 paise coins is 1/3 number of 10 paise coins
The Number of 10 paise coins is _______.
90
45
80
40


Question 7: The sum of a two digit number and number obtained by reversing the order of its digits is 110.
If the two digits differ by 6. The number/numbers are
28, 82
28
82
28, 56


Question 8: Solve the equations 6x + 3y = 6xy and 2x + 4y = 5xy.
0, 0
1, 2
0, 0 and 1, 2
none of the above


Question 9: In triangle PQR, angle R = 3 angle Q = 2(angle P + angle Q). Angles P, Q and R in order are _____ degrees
10, 50, 120
30, 60, 90
40, 20, 120
20, 40 , 120


Question 10: 2 men and 5 children complete a certain piece of work in 4 days and 3 men and 6 children complete the same
in only 3days. Find the number of days required to complete the same work by 3 men and 6 children.
10
5
4
3


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