Math Class 10 Chapter 7 MCQs Solution fbise
Math Class 10 Chapter 7 MCQs Solution
Tick the correct option.
(i)
Which of the following is a scalar quantity?
(a) velocity
(b) speed
(c) torque
(d) force
Correct option is (b)
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(ii)
Which of the following is a vector quantity?
(a) velocity
(b) speed
(c) distance
(d) work
Correct option is (a)
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(iii)
If
$$\overrightarrow a\;and\;\overrightarrow b$$
are position vectors of point A and B respectively, then
$$\overrightarrow{AB}$$
is:
$$(a)\;\overrightarrow b+\overrightarrow a\\(b)\;\overrightarrow a-\overrightarrow b\\(c)\;\overrightarrow b-\overrightarrow a\\(d)\;-\overrightarrow b-\overrightarrow a$$
Correct option is (c)
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(iv)
Which of the following is not a symbol of vector a?
$$(a)\;\overrightarrow a\\(b)\;\underline a\\(c)\;\boldsymbol a\\(d)\;\left|\overrightarrow a\right|$$
Correct option is (d)
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(v)
If
$$\overrightarrow{OP}=\lbrack6,\;7\rbrack,$$
then
$$-\overrightarrow{OP}$$
is equal to:
(a) [-6, 7]
(b) [6, 7]
(c) [6, -7]
(d) [-6, -7]
Correct option is (d)
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(vi)
If
$$\overrightarrow u=-5\widehat i+12\widehat j,$$
then
$$\vert\overrightarrow u\vert$$
is equal to:
(a) 17
(b) 7
(c) 169
(d) 13
Correct option is (d)
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(vii)
Given that
$$\overrightarrow u$$
is any vector. Which of the following is true?
$$(a)\;\vert-\overrightarrow u\vert=\vert\overrightarrow u\vert\\(b)\;-\vert\overrightarrow u\vert=\vert\overrightarrow u\vert\\(c)\;\vert\overrightarrow u\vert+\vert-\overrightarrow u\vert=0\\(d)\;\vert\overrightarrow u\vert=0$$
Correct option is (a)
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(viii)
The unit vector
$$\overrightarrow u=6\widehat i+10\widehat j-2\widehat j$$
is:
$$(a)\;\frac{3\widehat i}5-\frac{4\widehat j}5\\(b)\;\frac{3\widehat i}5+\frac{4\widehat j}5\\(c)\;-\frac{3\widehat i}5-\frac{4\widehat j}5\\(d)\;-\frac{3\widehat i}5+\frac{4\widehat j}5$$
Correct option is (b)
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(ix)
If
$$\overrightarrow a=\lambda\overrightarrow b,\;\overrightarrow a=12\widehat i-18\widehat j$$
and
$$\overrightarrow b=-2\widehat i+3\widehat j,$$
then λ is equal to:
(a) 3
(b) -3
(c) 6
(d) -6
Correct option is (d)
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(x)
If
$$\overrightarrow u=\lbrack-5x,\;8\rbrack$$
and
$$\overrightarrow v=\lbrack10,\;4y\rbrack$$
are equal vectors, then:
(a) x = 2, y = 2
(b) x = -2, y = -2
(c) x = -2, y = 2
(d) x = 2 y = -2
Correct option is (c)
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(xi)
If
$$\overrightarrow p=\lbrack5,\;-6\rbrack$$
and
$$\overrightarrow q=\lbrack2,\;6\rbrack,$$
then
$$\overrightarrow p-2\overrightarrow q$$
is:
(a) [1, -18]
(b) [9, 18]
(c) [1, 18]
(d) [-9, -18]
Correct option is (a)
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(xii)
If
$$\overrightarrow u=5\widehat i+10\widehat j$$
and
$$\overrightarrow v=4\widehat j,$$
then
$$\vert\overrightarrow u-\overrightarrow v\vert$$
is:
$$(a)\;\sqrt{123}\\(b)\;\sqrt{61}\\(c)\;\sqrt{11}\\(d)\;-\sqrt{61}$$
Correct option is (b)
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(xiii)
Which of the following vectors represents a position vector?
$$(a)\;\overrightarrow{OP}\\(b)\;-\overrightarrow{OP}\\(c)\;\overrightarrow{PO}\\(d)\;\overrightarrow{PQ}$$
Correct option is (a)
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(xiv)
What type of a quadrilateral ABCD is, if
$$\overrightarrow{AB}=\frac23\overrightarrow{DC}$$
?
(a) kite
(b) rectangle
(c) trapezium
(d) rhombus
Correct option is (c)
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This is the end of Math Class 10 Chapter 4 MCQs Solution fbise
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