Test Details

Pair of Linear Equations in Two Variables

Mcqs

Jan 21, 7:00 PM

60 minutes

Jan 31, 8:00 PM

36.0 marks

MCQ

20 questions

SOFI, HILAL AHMAD

teaching high school math from more than 8 years

Class Details

Math

Class 10th

Math

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Question Text

Question 1 :
Choose the correct answer which satisfies the linear equation: $2a + 5b = 13$ and $a + 6b = 10$

Question 2 :
The graph of the line $5x + 3y = 4$ cuts the $y$-axis at the point

Question 4 :
A member of these family with positive gradient making an angle of$\frac{\pi }{4}$ with the line3x-4y=2, is

Question 5 :
Five tables and eight chairs cost Rs. $7350$; three tables and five chairs cost Rs. $4475$. The price of a table is

Question 6 :
The unit digit of a number is $x$ and its tenth digit is $y$ then the number will be 

Question 7 :
Solve the following equations: $x + \dfrac {4}{y} = 1$, $y + \dfrac {4}{x} = 25$.Then $(x,y)=$

Question 8 :
What is the equationof Y-axis? Hence, find the point of intersection of Y-axis and the line $y\,=\, 3x\, +\, 2$.

Question 9 :
What is the nature of the graphs of a system of linear equations with exactly one solution?

Question 11 :
Solve the following pairs of linear (simultaneous) equation by the method of elimination by substitution:$y =\, 4x\, -\, 7$, $16x\, -\, 5y\, =\, 25$

Question 13 :
Solve the following pair of simultaneous equations:$\displaystyle \frac{8}{x}\, -\, \frac{9}{y}\, =\, 1;\,\frac{10}{x}\, +\, \frac{6}{y}\, =\, 7$

Question 14 :
Solve the following simultaneous equations by the method of equating coefficients.$\displaystyle \frac{x}{2}+3y=11; \, \, x+5y=20$

Question 15 :
Find the value of x and y using cross multiplication method: $ x + 2y = 8$ and $2x -3y = 2$

Question 16 :
Solve the following pair of equations by reducing them to a pair of linear equations: $\displaystyle \frac {2}{\sqrt x}+\frac {3}{\sqrt y}=2, \frac {4}{\sqrt x}-\frac {9}{\sqrt y}=-1$

Question 17 :
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 18 :
A straight line L through the point $(3, - 2)$ is inclined at an angle of 60$^o$ to the line $\sqrt 3 x + y = 1$. If $L$ also intersects the $x-$axis, then the equation of $L$ is

Question 19 :
The equation of the straight line which passes through $(1, 1)$ and making angle $60^o$ with the line $x+ \sqrt 3y +2 \sqrt 3=0$ is/are.

Question 20 :
Equation of a straight line passing through the point $(2, 3)$ and inclined at an angle of $\tan^{-1} \left(\dfrac{1}{2}\right)$ with the line $y + 2x = 5$ is

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