10th Class Math Chapter 3 MCQs fbise Solved Questions
Looking for the authentic 10th Class Math Chapter 3 MCQs fbise ? In this post, we provide the solved multiple-choice questions based on the new textbook syllabus.
10 Math Chapter 3 MCQs Federal Board
Tick the correct option.
(i)
If
$$\begin{bmatrix}5&3\\2&9\end{bmatrix}^t=\begin{bmatrix}5&\frac x2\\3&9\end{bmatrix}$$
then x =
(a) 6
(b) 4
(c) -6
(d) -4
Correct option is (b)
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(ii)
If
$$I_3=\begin{bmatrix}y&0&x\\0&z&0\\x&0&1\end{bmatrix}$$
then:
(a) y = x = 1
(b) x = z = 0
(c) x = z = 1
(d) y = z = 1, x = 0
Correct option is (d)
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(iii)
Additive inverse of unit matrix of order 2, is:
$$(a)\;\begin{bmatrix}0&0\\0&0\end{bmatrix}\\(b)\;\begin{bmatrix}-1&0\\0&-1\end{bmatrix}\\(c)\;\begin{bmatrix}0&1\\1&0\end{bmatrix}\\(d)\;\begin{bmatrix}1&0\\0&-1\end{bmatrix}$$
Correct option is (b)
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(iv)
Multiplicative inverse of a null matrix of order 2, is:
$$(a)\;\begin{bmatrix}0&0\\0&0\end{bmatrix}\\(b)\;\begin{bmatrix}0\\0\end{bmatrix}\\(c)\;\begin{bmatrix}0&0\end{bmatrix}\\(d)\;impossible$$
Correct option is (d)
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(v)
A is a symmetric matrix if:
$$(a)\;A^t\neq A\\(b)\;{(A^t)}^t\neq-A\\(c)\;{(A^t)}^t=-A\\(d)\;{(A^t)}^t=A^t$$
Correct option is (d)
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(vi)
$$\left[\frac12\right]+\begin{bmatrix}0\\0\end{bmatrix}=$$
$$(a)\;\left[\frac12\right]\\(b)\;\begin{bmatrix}1\\2\end{bmatrix}\\(c)\;\left[\frac12\begin{array}{c}0\\0\end{array}\right]\\(d)\;impossible$$
Correct option is (d)
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(vii)
Order of a matrix A is 1-by-2 and order of matrix B is 2-by-3 then order of AB is:
(a) 1-by-3
(b) 3-by-1
(c) 2-by-2
(d) 3-by-2
Correct option is (a)
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(viii)
If AB = B, then A = ____
$$(a)\;I\\(b)\;A^{-1}\\(c)\;B\\(d)\;B^{-1}$$
Correct option is (a)
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(ix)
$$\begin{bmatrix}15\\25\end{bmatrix}\times\begin{bmatrix}3&2\end{bmatrix}=$$
$$(a)\;\begin{bmatrix}95\end{bmatrix}\\(b)\;\begin{bmatrix}45\\50\end{bmatrix}\\(c)\;\begin{bmatrix}45&50\end{bmatrix}\\(d)\;\begin{bmatrix}45&30\\75&50\end{bmatrix}$$
Correct option is (d)
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(x)
If
$$T=-1,\;then\;T^{-1}=$$
(a) -T
(b) adj T
(c) -adj T
(d) T
Correct option is (c)
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(xi)
Matrix equation for y + x = 144 + y and x + 2y = x + 13 is:
$$(a)\;\begin{bmatrix}1&1\\1&2\end{bmatrix}\times\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}144\\13\end{bmatrix}\\(b)\;\begin{bmatrix}1&0\\1&2\end{bmatrix}\times\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}144\\13\end{bmatrix}$$
$$(a)\;\begin{bmatrix}1&0\\0&2\end{bmatrix}\times\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}144\\13\end{bmatrix}\\(b)\;\begin{bmatrix}1&0\\0&2\end{bmatrix}\times\begin{bmatrix}y\\x\end{bmatrix}=\begin{bmatrix}144\\13\end{bmatrix}$$
Correct option is (c)
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(xii)
The matrix of coefficients for x-y = 3, is:
$$(a)\;\begin{bmatrix}3\end{bmatrix}\\(b)\;\begin{bmatrix}1&-1\end{bmatrix}\\(c)\;\begin{bmatrix}x\\y\end{bmatrix}\\(d)\;\begin{bmatrix}1\\-1\end{bmatrix}$$
Correct option is (b)
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(xiii)
[1 2] [3] =
$$(a)\;\begin{bmatrix}3&6\end{bmatrix}\\(b)\;\begin{bmatrix}3\\6\end{bmatrix}\\(c)\;\begin{bmatrix}5\end{bmatrix}\\(d)\;impossible$$
Correct option is (d)
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(xiv)
If A and B are two matrices, conformable for the product
$$AB\;then\;{(AB)}^t=$$
$$(a)\;A^tB^t\\(b)\;{(BA)}^t\\(c)\;B^tA^t\\(d)\;AB$$
Correct option is (c)
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(xv)
If
$$\begin{bmatrix}-3&5\\-3&x-1\end{bmatrix}$$
is singular matrix, then x =
(a) 4
(b) 6
(c) -6
(d) -4
Correct option is (b)
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(xvi)
If
$$adj\;A=\begin{bmatrix}5&6\\2&3\end{bmatrix}\;then\;\vert A\vert=$$
$$(a)\;\vert\;adj\;A\;\vert\\(b)\;\vert\;A^t\;\vert\\(c)\;\vert\;-A\;\vert\\(d)\;all\;a,\;b,\;c$$
Correct option is (d)
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