Test Details

Pair of Linear Equations in Two Variables

Nov 27, 1:00 PM

60 minutes

Nov 27, 2:00 PM

39.0 marks

MCQ

26 questions

Sheeja N

P. G, B.Ed in Maths

Class Details

English

Mathematics

Class 10

English

Mathematics

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Question Text

Question 4 :
For what value of k does the system of equations$\displaystyle 2x+ky=11\:and\:5x-7y=5$ has no solution?

Question 5 :
Assem went to a stationary shop and purchased $3$ pens and $5$ pencils for $Rs.40$. His cousin Manik bought $4$ pencils and $5$ pens for $Rs. 58$. If cost of $1$ pen is $Rs.x$, then which of the following represents the situation algebraically?

Question 6 :
A choir is singing at a festival. On the first night $12$ choir members were absent so the choir stood in $5$ equal rows. On the second night only $1$ member was absent so the choir stood in $6$ equal rows. The same member of people stood in each row each night. How many members are in the choir?

Question 7 :
$\dfrac{1}{3}x - \dfrac{1}{6}y = 4$ $6x - ay = 8$ In the system of equations above, $a$ is a constant. If the system has no solution, what is the value of $a$

Question 8 :
If $x + y = 25$ and $\dfrac{100}{x + y} + \dfrac{30}{x - y} = 6$, then the value of $x - y$ is

Question 9 :
If $(a, 3)$ is the point lying on the graph of the equation $5x\, +\, 2y\, =\, -4$, then find $a$.

Question 10 :
What is the equation of straight line passing through the point (4, 3) and making equal intercepts on the coordinate axes ?

Question 13 :
If (a, 4) lies on the graph of $3x + y = 10$, then the value of a is

Question 15 :
The sum of two numbers is $2$ and their difference is $1$. Find the numbers.

Question 16 :
Solve the set of equations: $3\left ( 2u+v \right )= 7uv$ and $3\left ( u+3v \right )= 11uv$

Question 17 :
Find the fraction such that it becomes $\displaystyle \frac{1}{2}$ if 1 is added to the numerator, and $\displaystyle \frac{1}{3}$ if 1 is added to the denominator.

Question 18 :
Given that $3p + 2q = 13$ and $3p - 2q = 5$, find the value of $p + q$

Question 19 :
Solve the following pair of simultaneous equations:$\displaystyle \frac{a}{4}\, -\, \frac{b}{3}\, =\, 0\,;\, \frac{3a\, +\, 8}{5}\, =\, \frac{2b\, -\, 1}{2}$

Question 20 :
Determine the values of a and b for which the following system of linear equation has infinite solutions. $2x-(a-4)y=2b+1$ $4x-(a-1)y=5b-1$

Question 21 :
Solve the following pair of equations by the elimination method and the substitution method: $3x - 5y - 4 = 0$ and $9x = 2y + 7$

Question 22 :
Find the value of x and y using cross multiplication method: $5x + 2y = 32$ and $6x + 6y = 42$

Question 23 :
Solve the following pair of simultaneous equations:$\displaystyle \frac{6}{x}\, -\, \frac{2}{y}\, =\, 1\,;\, \frac{9}{x}\, -\, \frac{6}{y}\,=\, 0$

Question 24 :
Solve the equations using elimination method: $x - y = 2$ and $-x y = -10$

Question 25 :
Solve the following pair of simultaneous equations:$\displaystyle\, y\, -\, \frac{3}{x}\, =\, 8\, ;\, 2y\, +\, \frac{7}{x}\, =\, 3$

Question 26 :
The axes being inclined at an angle of $30^o$, the equation of straight line which makes an angle of $60^o$ with the positive direction of x-axis and x-intercept 2 is

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