Questions · Page 2 of 2

M.C.Q

MCQ 511 Mark
If $\sqrt{2}=1.4142$, then $\sqrt{\frac{\sqrt{2}-1}{\sqrt{2}+1}}$ is equal to
  • A
    0.1718
  • B
    5.8282
  • 0.4142
  • D
    2.4142
Answer
Correct option: C.
0.4142
c
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MCQ 521 Mark
The value of $\sqrt{5+2 \sqrt{6}}$, is
  • A
    $\sqrt{3}-\sqrt{2}$
  • $\sqrt{3}+\sqrt{2}$
  • C
    $\sqrt{5}+\sqrt{6}$
  • D
    None of these
Answer
Correct option: B.
$\sqrt{3}+\sqrt{2}$
b
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MCQ 531 Mark
The value of $\sqrt{3-2 \sqrt{2}}$, is
  • $\sqrt{2}-1$
  • B
    $\sqrt{2}+1$
  • C
    $\sqrt{3}-\sqrt{2}$
  • D
    $\sqrt{3}+\sqrt{2}$
Answer
Correct option: A.
$\sqrt{2}-1$
a
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MCQ 551 Mark
If $\frac{5-\sqrt{3}}{2+\sqrt{3}}=x+y \sqrt{3}$, then
  • $x=13, y=-7$
  • B
    $x=-13, y=7$
  • C
    $x=-13, y=-7$
  • D
    $x=13, y=7$
Answer
Correct option: A.
$x=13, y=-7$
a
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MCQ 561 Mark
$\frac{1}{\sqrt{9}-\sqrt{8}}$ is equal to
  • $3+2 \sqrt{2}$
  • B
    $\frac{1}{3+2 \sqrt{2}}$
  • C
    $3-2 \sqrt{2}$
  • D
    $\frac{3}{2}-\sqrt{2}$
Answer
Correct option: A.
$3+2 \sqrt{2}$
a
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MCQ 571 Mark
If $x=\frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}+\sqrt{2}}$ and $y=\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}$, then $x^2+x y+y^2=$
  • A
    101
  • 99
  • C
    98
  • D
    102
Answer
Correct option: B.
99
b
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MCQ 581 Mark
If $x=\frac{\sqrt{5}+\sqrt{3}}{\sqrt{5}-\sqrt{3}}$ and $y=\frac{\sqrt{5}-\sqrt{3}}{\sqrt{5}+\sqrt{3}}$, then $x+y+x y=$
  • 9
  • B
    5
  • C
    17
  • D
    7
Answer
Correct option: A.
9
a
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MCQ 601 Mark
If $x=7+4 \sqrt{3}$ and $x y=1$, then $\frac{1}{x^2}+\frac{1}{y^2}=$
  • A
    64
  • B
    134
  • 194
  • D
    $1 / 49$
Answer
Correct option: C.
194
c
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MCQ 621 Mark
The simplest rationalising factor of $2 \sqrt{5}-\sqrt{3}$, is
  • A
    $2 \sqrt{5}+3$
  • $2 \sqrt{5}+\sqrt{3}$
  • C
    $\sqrt{5}+\sqrt{3}$
  • D
    $\sqrt{5}-\sqrt{3}$
Answer
Correct option: B.
$2 \sqrt{5}+\sqrt{3}$
b
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MCQ 631 Mark
The simplest rationalising factor of $\sqrt{3}+\sqrt{5}$, is
  • A
    $\sqrt{3}-5$
  • B
    $3-\sqrt{5}$
  • $\sqrt{3}-\sqrt{5}$
  • D
    $\sqrt{3}+\sqrt{5}$
Answer
Correct option: C.
$\sqrt{3}-\sqrt{5}$
c
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MCQ 641 Mark
If $\frac{\sqrt{3}-1}{\sqrt{3}+1}=a-b \sqrt{3}$, then
  • a = 2, b = 1
  • B
    a = 2, b = - 1
  • C
    a = - 2, b = 1
  • D
    a = b = 1
Answer
Correct option: A.
a = 2, b = 1
a
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MCQ 661 Mark
The rationalisation factor of $2+\sqrt{3}$, is
  • $2-\sqrt{3}$
  • B
    $\sqrt{2}+3$
  • C
    $\sqrt{2}-3$
  • D
    $\sqrt{3}-2$
Answer
Correct option: A.
$2-\sqrt{3}$
a
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MCQ 671 Mark
The rationalisation factor of $\sqrt{3}$, is
  • A
    $-\sqrt{3}$
  • B
    $\frac{1}{\sqrt{3}}$
  • C
    $2 \sqrt{3}$
  • all of these
Answer
Correct option: D.
all of these
d
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MCQ 681 Mark
$\sqrt[5]{6} \times \sqrt[5]{6}$ is equal to
  • $\sqrt[5]{36}$
  • B
    $\sqrt[5]{6 \times 0}$
  • C
    $\sqrt[5]{6}$
  • D
    $\sqrt[5]{12}$
Answer
Correct option: A.
$\sqrt[5]{36}$
a
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MCQ 691 Mark
$\sqrt{10} \times \sqrt{15}$ is equal to
  • $5 \sqrt{6}$
  • B
    $6 \sqrt{5}$
  • C
    $\sqrt{30}$
  • D
    $\sqrt{25}$
Answer
Correct option: A.
$5 \sqrt{6}$
a
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M.C.Q - Page 2 - Maths STD 9 Questions - Vidyadip