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Maths M.C.Q (1 Marks)

Pair of Linear Equations in Two Variables · Gujarat Board (GSEB) STD 10 (GSEB - English Medium). 30 questions.

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M.C.Q (1 Marks)

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30 questions · timed · auto-graded

MCQ 11 Mark
he following figure, the measurements of side of rectangular ABCD is given. Find the values of x and y.
Image
  • ✓
    $x=23, y=17$
  • B
    $x=12, y=28$
  • C
    $x=14, y=30$
  • D
    $x=10, y=25$
Answer
Correct option: A.
$x=23, y=17$
$x=23, y=17$
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MCQ 21 Mark
In the following graphics two lines are given
Image
  • A
    Their solution is infinite.
  • B
    The solution of pair of equations is unique.
  • C
    By changing one variable in $10$ another variable in solving pair of linear conditions is called method of substitution.
  • ✓
    They have no solution
Answer
Correct option: D.
They have no solution
They have no solution
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MCQ 31 Mark
The sum of the ages of son and father before $5$ years was $30$ years. After $3$ years the sum of their ages will be__________
  • ✓
    $46$
  • B
    $40$
  • C
    $50$
  • D
    $38$
Answer
Correct option: A.
$46$
$46$
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MCQ 41 Mark
Which of the following method is used for the solution of pair of linear equations in two variables ?
  • A
    Graphic Method
  • B
    Substitution Method
  • C
    Elimination
  • ✓
    All of them
Answer
Correct option: D.
All of them
All of them
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MCQ 51 Mark
The ones of two digit is $x$ and tens is $y$, then the double of that digit is______
  • A
    $10 x+2 y$
  • B
    $2 y+20 x$
  • ✓
    $20 y+2 x$
  • D
    $2 x+10 y$
Answer
Correct option: C.
$20 y+2 x$
$20 y+2 x$
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MCQ 61 Mark
Kinjal is asking to Dipti that before $3$ years the sum of their ages were $36$ , then tell me that after $4$ years what will be the sum of their ages?
  • A
    $53$ years
  • B
    $43$ years
  • C
    $39$ years
  • ✓
    $50$ years
Answer
Correct option: D.
$50$ years
$50$ years
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MCQ 71 Mark
denominator of Image is _______.
  • A
    $b_1 c_2-b_2 c_1$
  • B
    $c_1 a_2-c_2 a_1$
  • C
    $b_1 a_2-b_2 a_1$
  • ✓
    $a_1 b_2-a_2 b_1$
Answer
Correct option: D.
$a_1 b_2-a_2 b_1$
$a_1 b_2-a_2 b_1$
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MCQ 81 Mark
By which number we have to multiply the equation $x+y=5$ into equation (i) and $2 x-3 y=4$ from equation (ii) to eliminate $y$ ?
  • A
    $2$
  • B
    $-2$
  • ✓
    $3$
  • D
    $-3$
Answer
Correct option: C.
$3$
$3$
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MCQ 91 Mark
The ones of two digit is $y$ and tens is $x$, then that number (digit) is .......... .
  • A
    $10 y+x$
  • ✓
    $10 x+y$
  • C
    $10 x-y$
  • D
    $10 y-x$
Answer
Correct option: B.
$10 x+y$
$10 x+y$
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MCQ 101 Mark
The graph of pair of Linear equations in two variables $2 x+3 y-9=0$ and $4 x+6 y-18=0$ is .........
  • A
    Intersecting lines
  • ✓
    Coinciding lines
  • C
    Parallel lines
  • D
    Perpendicular lines
Answer
Correct option: B.
Coinciding lines
Coinciding lines
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MCQ 121 Mark
Which one is true for the linear pair of equation's graph when we have two intersecting lines and unique solution ?
  • ✓
    $\frac{a_1}{a_2} \neq \frac{b_1}{b_2}$
  • B
    $\frac{a_1}{a_2}=\frac{b_1}{b_2}$
  • C
    $\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}$
  • D
    $\frac{a_1}{a_2}=\frac{b_1}{b_2} \neq \frac{c_1}{c_2}$
Answer
Correct option: A.
$\frac{a_1}{a_2} \neq \frac{b_1}{b_2}$
$\frac{a_1}{a_2} \neq \frac{b_1}{b_2}$
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MCQ 131 Mark
How we can show the pair of linear equation $\frac{x}{2}+\frac{y}{3}=1$ in a standard form ?
  • A
    $2 x+3 y=1$
  • B
    $2 x+3 y-1=0$
  • C
    $3 x+2 y=6$
  • ✓
    $3 x+2 y-6=0$
Answer
Correct option: D.
$3 x+2 y-6=0$
$3 x+2 y-6=0$
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MCQ 141 Mark
If $17 x+23 y=40$ and $23 x+17 y=80$, then $x+y=\ldots \ldots \ldots .$.
  • A
    $120$
  • B
    $40$
  • ✓
    $3$
  • D
    $80$
Answer
Correct option: C.
$3$
$3$
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MCQ 151 Mark
In a two digit number, the sum of the digits is equal to the product of the digits Find the number.
  • A
    $11$
  • ✓
    $22$
  • C
    $23$
  • D
    $10$
Answer
Correct option: B.
$22$
$22$
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MCQ 161 Mark
The equation of line which is coincident to the line $x+2 y-4=0$ is
  • A
    $2 x+4 y-4=0$
  • ✓
    $3 x+6 y-12=0$
  • C
    $2 x+y-4=0$
  • D
    $x+4 y-8=0$
Answer
Correct option: B.
$3 x+6 y-12=0$
$3 x+6 y-12=0$
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MCQ 171 Mark
The equation of line which is parallel to the line $2 x+3 y-8=0$ is
  • ✓
    $4 x+6 y-12=0$
  • B
    $2 x-3 y+8=0$
  • C
    $x+2 y-4=0$
  • D
    $6 x+9 y-2 y=0$
Answer
Correct option: A.
$4 x+6 y-12=0$
$4 x+6 y-12=0$
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MCQ 181 Mark
$\quad 2 x-3 y=7$ and $(a+b) x-(a+b-3) y=4 a+b$ represent the same lines then
  • A
    $a+5 b=0$
  • B
    $5 a+b=d$
  • ✓
    $a-5 b=0$
  • D
    $5 a-b=0$
Answer
Correct option: C.
$a-5 b=0$
$a-5 b=0$
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MCQ 191 Mark
If $a m \neq b l$ then the equations $a x+b y=0$ and $l x+m y=n$ have solution.
  • ✓
    Unique
  • B
    Empty
  • C
    Infinite
  • D
    may be or may not be.
Answer
Correct option: A.
Unique
Unique
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MCQ 201 Mark
If the solution set of the equations $p x+3 y=p-3$ and $12 x+p y=p$ is an infinite set then $p=$
  • ✓
    $6$
  • B
    $7$
  • C
    $8$
  • D
    $9$
Answer
Correct option: A.
$6$
$6$
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MCQ 211 Mark
If the linear equations in two Variables are consistent, then the lines are
  • A
    Intersecting
  • B
    Parallel
  • C
    Allways coincident
  • ✓
    Intersecting or coincident
Answer
Correct option: D.
Intersecting or coincident
Intersecting or coincident
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MCQ 221 Mark
The graph of the equations $5 x-3 y+9=0$ and $10 x-6 y+18=0$ represents lines.
  • A
    parrallel
  • B
    Perpendicular
  • ✓
    Coincident
  • D
    Intersecting
Answer
Correct option: C.
Coincident
Coincident
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MCQ 231 Mark
If the graph of the equations $a_1 x+b_1 y+c_1=0$ and $a_2 x+b_2 y+c_2=0$ is two parallel lines then out of the following which is true?
  • A
    $\frac{a_1}{a_2} \neq \frac{b_1}{b_2}$
  • ✓
    $\frac{a_1}{a_2}=\frac{b_1}{b_2} \neq \frac{c_1}{c_2}$
  • C
    $\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}$
  • D
    None of these
Answer
Correct option: B.
$\frac{a_1}{a_2}=\frac{b_1}{b_2} \neq \frac{c_1}{c_2}$
$\frac{a_1}{a_2}=\frac{b_1}{b_2} \neq \frac{c_1}{c_2}$
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MCQ 241 Mark
Out of the following, which is true for $a x+b y+c=0$ ?
  • A
    $a, b=0$
  • B
    $a+b=0$
  • ✓
    $a^2+b^2 \neq 0$
  • D
    $a^2+b^2=0$
Answer
Correct option: C.
$a^2+b^2 \neq 0$
$a^2+b^2 \neq 0$
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MCQ 251 Mark
Out of the following, which is the solution of the equation $2 x+3 y=7$ ?
  • A
    $(1,2)$
  • ✓
    $(2,1)$
  • C
    $(-1,-2)$
  • D
    $(-2,-1)$
Answer
Correct option: B.
$(2,1)$
$(2,1)$
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MCQ 271 Mark
The equation is _______ of coinclined line of $x+2 y-4=0$
  • A
    $2 x+4 y-4=0$
  • ✓
    $3 x+6 y-12=0$
  • C
    $2 x+y-4=0$
  • D
    $x+4 y-8=0$
Answer
Correct option: B.
$3 x+6 y-12=0$
$3 x+6 y-12=0$
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MCQ 281 Mark
$2 x+3 y-9=0$ and $4 x+6 y-18=0$ are _______
  • A
    intersects
  • ✓
    coinclined
  • C
    parallel
  • D
    none of this
Answer
Correct option: B.
coinclined
coinclined
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MCQ 291 Mark
If two variables linear equation are consistent then lines are types.
  • A
    intersecting
  • B
    parallel
  • C
    always
  • ✓
    intersecting and collateral.
Answer
Correct option: D.
intersecting and collateral.
intersecting and collateral.
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MCQ 301 Mark
If 27x + 63y = 45 and 63x + 27y = 135 then x+y=____________ .
  • A
    90
  • B
    180
  • ✓
    2
  • D
    $\frac{1}{2}$
Answer
Correct option: C.
2
C
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