MCQ 11 Mark
$a x+b y=c$ and $m x+n y=d$ and $a n \neq b m$ then these simultaneous equations have -
- ✓
- B
- C
Infinite number of solutions
- D
AnswerGiven: $a x+b y=c$ and $m x+n y=d$
Then,
$\frac{a}{m} \neq \frac{b}{n}, \text { as an } \neq b m$
Now, we know that when the ratio of coefficients is not equal.
Equations will have unique solution. Hence, A is the correct answer.
View full question & answer→MCQ 21 Mark
To solve x + y = 3; 3x–2y – 4 = 0 by determinant method find D.
Answer$x+y=3 $
$3 x-2 y=4 $
$D=\left[\begin{array}{cc}
1 & 1 \\
3 & -2
\end{array}\right]=(1 \times-2)-(1 \times 3)=-2-3=-5$
Hence, Option C is correct.
View full question & answer→MCQ 31 Mark
Find the value of $\left|\begin{array}{cc}5 & 3 \\ -7 & -4\end{array}\right|$
Answer$\mathrm{D}=\left[\begin{array}{cc}
5 & 3 \\
-7 & -4
\end{array}\right]=(5 \times-4)-(3 \times-7)=-20+21=1$
Hence, option D is correct.
View full question & answer→MCQ 41 Mark
For simultaneous equations in variables $x$ and $y, D_X=49, D_Y=-63, D=7$, then what is $x$ ?
Answer$x=\frac{D_x}{D}=\frac{49}{7}=7$
Hence option $A$ is correct.
View full question & answer→MCQ 51 Mark
To draw graph of $4x+5y=19$, Find y when $x = 1.$
Answer$\text { Put } x=1 \text { in Eq. } 4 x+5 y=19 $
$4 \times 1+5 y=19 $
$\Rightarrow 5 y=19-4 $
$\Rightarrow 5 y=15 $
$\Rightarrow y=\frac{15}{5}=3$
Hence, option B is correct.
View full question & answer→MCQ 61 Mark
By Cramer's rule the value of $x$ is ________ .
- A
$\frac{ D }{ D _x}$
- ✓
$\frac{ D _x}{ D }$
- C
$\frac{ D _y}{ D }$
- D
$\frac{ D }{ D _y}$
AnswerCorrect option: B. $\frac{ D _x}{ D }$
$\frac{ D _x}{ D }$
View full question & answer→MCQ 71 Mark
If simultaneous equations do not have any solution then their graphical interpretation contains ______ .
MCQ 81 Mark
Without solving simultaneous equation decide $3 x+5 y=16$ and $4 x-y=6$ have ______ .
- ✓
- B
- C
infinitely many solutions
- D
View full question & answer→MCQ 91 Mark
If $(a, 3)$ is point lying on graph of equation $5 x+2 y=-4$ then $a=$______ .
- A
- ✓
- C
$\frac{2}{5}$
- D
$\frac{-2}{5}$
View full question & answer→MCQ 101 Mark
If $\frac{a_1}{a_2}=\frac{b_1}{b_2} \neq \frac{c_1}{c_2}$ then the two simultaneous equations have _______.
- A
- ✓
- C
infinitely many solutions
- D
View full question & answer→MCQ 111 Mark
If $\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}$ then the two simultaneous equations have ______.
- A
- B
- ✓
infinitely many solutions
- D
AnswerCorrect option: C. infinitely many solutions
infinitely many solutions
View full question & answer→MCQ 121 Mark
Find $m$ if value of determinant $\left|\begin{array}{cc}m & 2 \\ -5 & 7\end{array}\right|$ is 31.
View full question & answer→MCQ 131 Mark
If $D_x=-18$ and $D=3$ are values of determinant for certain simultaneous equation in $x$ and $y$ then value of $x$ is _______.
View full question & answer→MCQ 141 Mark
The value of determinant $\left|\begin{array}{ll}5 & 2 \\ 7 & 4\end{array}\right|$ is ________ .
View full question & answer→MCQ 151 Mark
The perimeter of a rectangle is 64, is expressed in the mathematical equation form as _______ .
- A
$\frac{1}{2}(x+y)=64$
- ✓
$2(x+y)=64$
- C
$x \times y=64$
- D
$\frac{x y}{2}=64$
AnswerCorrect option: B. $2(x+y)=64$
$2(x+y)=64$
View full question & answer→MCQ 161 Mark
If the value of the determinant $\left|\begin{array}{rr}m & -2 \\ 2 & 1\end{array}\right|$ is 7, then value of $m$ is ______ .
View full question & answer→MCQ 171 Mark
The co-ordinates of the point of origin are ______ .
- ✓
$(0,0)$
- B
$(1,0)$
- C
$(0,1)$
- D
$(1,1)$
AnswerCorrect option: A. $(0,0)$
$(0,0)$
View full question & answer→MCQ 181 Mark
Equation of $X$ axis is _______ .
View full question & answer→MCQ 191 Mark
Select pair of simultaneous equations from the following _____ .
(1) $2 x+2 y=7$ (2) $4 x+3 z=9$
(3) $3 y+4 z=8$ (4) $3 z+9 x=18$
View full question & answer→MCQ 201 Mark
Which is linear equation in two variables _______ .
- ✓
$3 x+9=\sqrt{2} y+2$
- B
$3 x-4 y+x y=0$
- C
$2 m-8=4 m$
- D
$3 x-14=9$
AnswerCorrect option: A. $3 x+9=\sqrt{2} y+2$
$3 x+9=\sqrt{2} y+2$
View full question & answer→MCQ 211 Mark
Which is not a linear equation in two variables ______ .
- A
$x+7 y=1$
- ✓
$3 x+4 y-x y=0$
- C
$3 x+9=4 y-1$
- D
$3 x=4 y$
AnswerCorrect option: B. $3 x+4 y-x y=0$
$3 x+4 y-x y=0$
View full question & answer→MCQ 221 Mark
When we consider two linear equations in two variables, such equations are called as .... .
MCQ 231 Mark
_______ is the solution of given simultaneous equations. $x-y=7, x+y=11$.
- A
$(-3,-8)$
- B
$(-9,-2)$
- ✓
$(9,2)$
- D
$(6,5)$
AnswerCorrect option: C. $(9,2)$
$(9,2)$
View full question & answer→MCQ 241 Mark
Write $D _{ x }$ for the following simultaneous equations. $3 x+4 y=8 ; x-2 y=5$
- A
$\left|\begin{array}{cc}3 & 4 \\ 1 & -2\end{array}\right|$
- ✓
$\left|\begin{array}{cc}8 & 4 \\ 5 & -2\end{array}\right|$
- C
$\left|\begin{array}{rr}4 & 8 \\ -2 & 5\end{array}\right|$
- D
$\left|\begin{array}{ll}3 & 8 \\ 1 & 5\end{array}\right|$
AnswerCorrect option: B. $\left|\begin{array}{cc}8 & 4 \\ 5 & -2\end{array}\right|$
$\left|\begin{array}{cc}8 & 4 \\ 5 & -2\end{array}\right|$
View full question & answer→MCQ 251 Mark
Express the following information in mathematical form using $x$ and $y$ variables: one number is 5 more than seven times the other number .
- A
$x-5 y=7$
- ✓
$x-7 y=5$
- C
$x+7 y=5$
- D
$x-7 y=-5$
AnswerCorrect option: B. $x-7 y=5$
$x-7 y=5$
View full question & answer→MCQ 261 Mark
If $12 x+13 y=29$ and $13 x+12 y=21$ then the value of $x+y$ is
View full question & answer→MCQ 271 Mark
______ is one of the solution of equation $3 x-5 y=10$.
- A
$(0,2)$
- B
$(2,0)$
- C
$(-2,0)$
- ✓
$(0,-2)$
AnswerCorrect option: D. $(0,-2)$
$(0,-2)$
View full question & answer→MCQ 281 Mark
The general form of linear equation in two variables is ________ .
- A
$a x+b=0$
- ✓
$a x+b y=c$
- C
$a x^2+b x+c=0$
- D
AnswerCorrect option: B. $a x+b y=c$
$a x+b y=c$
View full question & answer→MCQ 291 Mark
ax + by = c and mx + ny = d and an ≠ bm then these simultaneous equations have –
- A
- B
- C
Infinite number of solutions
- D
AnswerGiven: ax + by = c and mx + ny = d
Then,
$\frac{a}{m} \neq \frac{b}{n}$, as an $\neq b m$
Now, we know that when the ratio of coefficients is not equal.
Equations will have unique solution.
Hence, A is the correct answer.
View full question & answer→MCQ 301 Mark
To solve x + y = 3; 3x–2y – 4 = 0 by determinant method find D.
Answer$\begin{aligned} & x+y=3 \\ & 3 x-2 y=4 \\ & D=\left[\begin{array}{cc}1 & 1 \\ 3 & -2\end{array}\right]=(1 \times-2)-(1 \times 3)=-2-3=-5\end{aligned}$
Hence, Option C is correct.
View full question & answer→MCQ 311 Mark
Find the value of
$\left|\begin{array}{cc}5 & 3 \\ -7 & -4\end{array}\right|$.
Answer$D =\left[\begin{array}{cc}
5 & 3 \\
-7 & -4
\end{array}\right]=(5 \times-4)-(3 \times-7)=-20+21=1$
Hence, option D is correct.
View full question & answer→MCQ 321 Mark
For simultaneous equations in variables x and y, DX = 49, DY = –63, D = 7, then what is x?
Answer$x=\frac{D_x}{D}=\frac{49}{7}=7$
Hence option A is correct.
View full question & answer→MCQ 331 Mark
To draw graph of 4x+5y=19, Find y when x = 1.
Answer
$\begin{aligned}
& \text { Put } x=1 \text { in Eq. } 4 x+5 y=19 \\
& 4 \times 1+5 y=19 \\
& \Rightarrow 5 y=19-4 \\
& \Rightarrow 5 y=15 \\
& \Rightarrow y=\frac{15}{5}=3
\end{aligned}$
Hence, option B is correct.
View full question & answer→MCQ 341 Mark
Write $D _{ x }$ for the following simultaneous equations. $3 x+4 y=8 ; x-2 y=5$
- A
$\left|\begin{array}{cc}3 & 4 \\ 1 & -2\end{array}\right|$
- ✓
$\left|\begin{array}{cc}8 & 4 \\ 5 & -2\end{array}\right|$
- C
$\left|\begin{array}{rr}4 & 8 \\ -2 & 5\end{array}\right|$
- D
$\left|\begin{array}{ll}3 & 8 \\ 1 & 5\end{array}\right|$
AnswerCorrect option: B. $\left|\begin{array}{cc}8 & 4 \\ 5 & -2\end{array}\right|$
$\left|\begin{array}{cc}8 & 4 \\ 5 & -2\end{array}\right|$
View full question & answer→MCQ 351 Mark
Without solving simultaneous equation decide $3 x+5 y=16$ and $4 x-y=6$ have ______ .
- ✓
- B
- C
infinitely many solutions
- D
View full question & answer→MCQ 361 Mark
Which is not a linear equation in two variables ______ .
- A
$x+7 y=1$
- ✓
$3 x+4 y-x y=0$
- C
$3 x+9=4 y-1$
- D
$3 x=4 y$
AnswerCorrect option: B. $3 x+4 y-x y=0$
$3 x+4 y-x y=0$
View full question & answer→MCQ 371 Mark
Which is linear equation in two variables _______ .
- ✓
$3 x+9=\sqrt{2} y+2$
- B
$3 x-4 y+x y=0$
- C
$2 m-8=4 m$
- D
$3 x-14=9$
AnswerCorrect option: A. $3 x+9=\sqrt{2} y+2$
$3 x+9=\sqrt{2} y+2$
View full question & answer→MCQ 381 Mark
When we consider two linear equations in two variables, such equations are called as .... .
MCQ 391 Mark
The value of determinant $\left|\begin{array}{ll}5 & 2 \\ 7 & 4\end{array}\right|$ is ________ .
View full question & answer→MCQ 401 Mark
The perimeter of a rectangle is 64, is expressed in the mathematical equation form as _______ .
- A
$\frac{1}{2}(x+y)=64$
- ✓
$2(x+y)=64$
- C
$x \times y=64$
- D
$\frac{x y}{2}=64$
AnswerCorrect option: B. $2(x+y)=64$
$2(x+y)=64$
View full question & answer→MCQ 411 Mark
The general form of linear equation in two variables is ________ .
- A
$a x+b=0$
- ✓
$a x+b y=c$
- C
$a x^2+b x+c=0$
- D
AnswerCorrect option: B. $a x+b y=c$
$a x+b y=c$
View full question & answer→MCQ 421 Mark
The co-ordinates of the point of origin are ______ .
- ✓
$(0,0)$
- B
$(1,0)$
- C
$(0,1)$
- D
$(1,1)$
AnswerCorrect option: A. $(0,0)$
$(0,0)$
View full question & answer→MCQ 431 Mark
Select pair of simultaneous equations from the following _____ .
(1) $2 x+2 y=7$ (2) $4 x+3 z=9$
(3) $3 y+4 z=8$ (4) $3 z+9 x=18$
View full question & answer→MCQ 441 Mark
_______ is the solution of given simultaneous equations. $x-y=7, x+y=11$.
- A
$(-3,-8)$
- B
$(-9,-2)$
- ✓
$(9,2)$
- D
$(6,5)$
AnswerCorrect option: C. $(9,2)$
$(9,2)$
View full question & answer→MCQ 451 Mark
______ is one of the solution of equation $3 x-5 y=10$.
- A
$(0,2)$
- B
$(2,0)$
- C
$(-2,0)$
- ✓
$(0,-2)$
AnswerCorrect option: D. $(0,-2)$
$(0,-2)$
View full question & answer→MCQ 461 Mark
If the value of the determinant $\left|\begin{array}{rr}m & -2 \\ 2 & 1\end{array}\right|$ is 7, then value of $m$ is ______ .
View full question & answer→MCQ 471 Mark
If simultaneous equations do not have any solution then their graphical interpretation contains ______ .
MCQ 481 Mark
If $\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}$ then the two simultaneous equations have ______.
- A
- B
- ✓
infinitely many solutions
- D
AnswerCorrect option: C. infinitely many solutions
infinitely many solutions
View full question & answer→MCQ 491 Mark
If $D_x=-18$ and $D=3$ are values of determinant for certain simultaneous equation in $x$ and $y$ then value of $x$ is _______.
View full question & answer→MCQ 501 Mark
If $(a, 3)$ is point lying on graph of equation $5 x+2 y=-4$ then $a=$______ .
- A
- ✓
- C
$\frac{2}{5}$
- D
$\frac{-2}{5}$
View full question & answer→MCQ 511 Mark
If $12 x+13 y=29$ and $13 x+12 y=21$ then the value of $x+y$ is
View full question & answer→MCQ 521 Mark
Find $m$ if value of determinant $\left|\begin{array}{cc}m & 2 \\ -5 & 7\end{array}\right|$ is 31.
View full question & answer→MCQ 531 Mark
Express the following information in mathematical form using $x$ and $y$ variables: one number is 5 more than seven times the other number .
- A
$x-5 y=7$
- ✓
$x-7 y=5$
- C
$x+7 y=5$
- D
$x-7 y=-5$
AnswerCorrect option: B. $x-7 y=5$
$x-7 y=5$
View full question & answer→MCQ 541 Mark
Equation of $X$ axis is _______ .
View full question & answer→MCQ 551 Mark
By Cramer's rule the value of $x$ is ________ .
- A
$\frac{ D }{ D _x}$
- ✓
$\frac{ D _x}{ D }$
- C
$\frac{ D _y}{ D }$
- D
$\frac{ D }{ D _y}$
AnswerCorrect option: B. $\frac{ D _x}{ D }$
$\frac{ D _x}{ D }$
View full question & answer→