Test Details

Chapter Wise Mock Test

Pair of linear equations

Nov 14, 9:00 AM

60 minutes

Nov 15, 9:00 AM

35.0 marks

MCQ

25 questions

Anil Balaji Yelpe

Anil Balaji Yelpe has Bsc math's and has Abacus certificate with 5 years of experience in teaching .

Class Details

Mathematics

10th CBSE

Mathematics

In this classroom we will cover entire syllabus of all subjects as prescribed by CBSE for standard X. There will be weekly test , assignment and many more.

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Question Text

Question 1 :
State whether the given statement is true or false:Every point on the graph of a linear equation in two variables does not represent a solution of the linear equation.

Question 2 :
If the equations $4x + 7y = 10 $ and $10x + ky = 25$ represent coincident lines, then the value of $k$ is

Question 3 :
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 4 :
For what value of k does the system of equations$\displaystyle 2x+ky=11\:and\:5x-7y=5$ has no solution?

Question 5 :
Equation of a straight line passing through the point $(2,3)$ and inclined at an angle of $\tan^{-1}\dfrac{1}{2}$ with the line $y+2x=5$, is:

Question 7 :
The survey of a manufacturing company producing a beverage and snacks was done. It was found that it sells orange drinks at $ $1.07$ and choco chip cookies at $ $0.78$ the maximum. Now, it was found that it had sold $57$ food items in total and earned about $ $45.87 $ of revenue. Find out the equations representing these two. 

Question 9 :
The graph of the line $5x + 3y = 4$ cuts the $y$-axis at the point

Question 10 :
Two perpendicular lines are intersecting at $(4,3)$. One meeting coordinate axis at $(4,0)$, find the coordinates of the intersection of other line with the cordinate axes.

Question 12 :
Examine whether the point $(2, 5)$ lies on the graph of the equation $3x\, -\, y\, =\, 1$.

Question 13 :
The linear equation $y = 2x + 3$ cuts the $y$-axis at 

Question 14 :
State whether the given statement is true or false:The graph of a linear equation in two variables need not be a line.

Question 15 :
Choose the correct answer which satisfies the linear equation: $2a + 5b = 13$ and $a + 6b = 10$

Question 16 :
Find the value of x and y using elimination method: $\dfrac{-1}{x} + \dfrac{2}{y} = 0$ and $\dfrac{x}{2}+  \dfrac{y}{3} = 1$

Question 17 :
Solve the following pair of equations: $\displaystyle \frac{9}{x}-\displaystyle \frac{4}{y}= 8$, $\displaystyle \frac{13}{x}+\displaystyle \frac{7}{y}=101$

Question 18 :
Solve the following pair of equations by the elimination method and the substitution method: $3x - 5y - 4 = 0$ and $9x = 2y + 7$

Question 19 :
Solve the following pair of equations by reducing them to a pair of linear equations: $\dfrac{2x-3y}{xy}=4$ and $\dfrac{15x+3y}{xy}=30$

Question 21 :
Find the value of x and y using cross multiplication method: $x-  2y = 1$ and $x + 4y = 6$

Question 22 :
Solve the following simultaneous equations by the method of equating coefficients.$x-2y=-10; \, \, 3x-5y=-12$

Question 23 :
The simultaneous equations, $\displaystyle y = x + 2|x| $ & $y = 4 + x - |x|$ have the solution set 

Question 24 :
Solve the following pair of equations by reducing them to a pair of linear equations: $\dfrac {1}{(x-1)}+\dfrac {1}{(y-2)}=2, \ \dfrac {6}{(x-1)}-\dfrac {2}{(y-2)}=1$

Question 25 :
If $y=a+\dfrac { b }{ x } $, where $a$ and $b$ are constants and if $y=1$ when $x=-1$, and $y=5$ when $x=-5$, what is the value of $a+b$?

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