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MATHS M.C.Q (1 Marks)

PART - 1 CH - 5 Linear Inequalities · Rajasthan Board (RBSE) STD 11 Science (Rajasthan - English Medium). 10 questions.

Questions

M.C.Q (1 Marks)

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10 questions · auto-graded multiple-choice test.

MCQ 11 Mark
The solution of inequality $25 x^2-4 \leq 0$ is :
  • ✓
    $\left[-\frac{2}{5}, \frac{2}{5}\right]$
  • B
    $\left(-\frac{2}{5}, \frac{2}{5}\right)$
  • C
    $\left(-\frac{2}{5}, \infty\right)$
  • D
    None of the above
Answer
Correct option: A.
$\left[-\frac{2}{5}, \frac{2}{5}\right]$
(A)
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MCQ 21 Mark
The solution of inequality $x^2-x-6<0$ is :
  • A
    $[-1,3]$
  • ✓
    $(-2,3)$
  • C
    $(2,3)$
  • D
    $(-\infty,-2) \cup(3, \infty)$
Answer
Correct option: B.
$(-2,3)$
(B)
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MCQ 31 Mark
The symbol of an inequality :
  • A
    Changes when we multiply both sides of the inequality by a positive number.
  • ✓
    Changes when we multiply both sides of the inequality by a negative number.
  • C
    Nothing can be said for sure.
  • D
    None of these
Answer
Correct option: B.
Changes when we multiply both sides of the inequality by a negative number.
(B)
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MCQ 41 Mark
The set of the values of $x$ which satisfy $-18<\frac{2(x-2)}{6} \leq 0$ is :
  • A
    $[-52,2]$
  • ✓
    $(-52,2]$
  • C
    $(-52,2)$
  • D
    $[-52,2)$
Answer
Correct option: B.
$(-52,2]$
(B)
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MCQ 51 Mark
The solution of $\frac{x}{2}<\frac{5 x-2}{3}-\frac{7 x-3}{5}$ is :
  • A
    $\left(\infty, \frac{2}{7}\right)$
  • B
    $\left(-\infty, \frac{2}{7}\right)$
  • ✓
    $\left(-\infty, \frac{-2}{7}\right)$
  • D
    $\left[\infty, \frac{2}{7}\right]$
Answer
Correct option: C.
$\left(-\infty, \frac{-2}{7}\right)$
(C )
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MCQ 61 Mark
The solution of $4 x+3<6 x+7, x \in R$ is:
  • A
    $(-\infty, 2)$
  • ✓
    $(-2, \infty)$
  • C
    $(2, \infty)$
  • D
    $[2, \infty)$
Answer
Correct option: B.
$(-2, \infty)$
(B)
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MCQ 71 Mark
The solution area of inequality $-x^2+5 x-6>0$ :
  • A
    $(-2,3]$
  • B
    $[3,2)$
  • ✓
    $(2,3)$
  • D
    $(0,0)$
Answer
Correct option: C.
$(2,3)$
(C )
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MCQ 81 Mark
The solution of inequality $2 x^2-12 x+18>0$ is :
  • A
    $x \leq 3$
  • B
    $x \geq 3$
  • ✓
    $x=-3$
  • D
    $x=3$
Answer
Correct option: C.
$x=-3$
(C )
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MCQ 101 Mark
The solution of inequality $-x^2+3 x-2>0$ is :
  • A
    $(-1,2)$
  • B
    $(2,1)$
  • ✓
    $(1,2)$
  • D
    $(2,-1)$
Answer
Correct option: C.
$(1,2)$
(C )
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