Linear Inequalities CBSE Questions & Answers

Linear Inequalities

This is Mathematics Class 11 Linear Inequalities CBSE Questions & Answers. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
If \({\text{| x }}--{\text{ 2}}{\text{|}} = {\text{ p}}\), where \({\text{x }} < {\text{ 2}}\), then x - p =
  • A
    - 2
  • B
    2 – 2p
    Correct
  • C
    2
  • D
    2p - 2
2
A pack of coffee powder contains a mixture of x grams of coffee and y grams of choco. The amount of coffee powder is greater than that of choco and each pack is atleast 10 grams. Which of the following inequations describe the conditions given ?
  • A
    \({\text{x }} + {\text{ y }} < {\text{ 12 }};{\text{ x }} > {\text{ y}}\)
  • B
    \({\text{x }} + {\text{ y }} < {\text{ 1}}0{\text{ }};{\text{ x }} < {\text{ y}}\)
  • C
    none of these
  • D
    \({\text{x }} + {\text{ y }} \leq {\text{ 1}}0{\text{ }};{\text{ x }} > {\text{ y}}\)
    Correct
3
If a, b ,c are real numbers such that \({\text{a }} > {\text{ b }},{\text{ c }} > {\text{ }}0\), then
  • A
    \({\text{ac }} < {\text{ bc}}\)
  • B
    none of these.
  • C
    \({\text{ac }} > {\text{ bc}}\)
    Correct
  • D
    \({\text{ac }} \geq {\text{ bc}}\)
4
If a , b , c are real numbers such that \({\text{a }} \geq {\text{ b }},{\text{ c }} > {\text{ }}0\), then
  • A
    \({\text{ac }} > {\text{ bc}}\)
  • B
    none of these
  • C
    \({\text{ac }} < {\text{ bc}}\)
  • D
    \({\text{ac }} \geq {\text{ bc}}\)
    Correct
5
Graph of the system of inequations \({\text{x }} \geq {\text{ }}0{\text{ }},{\text{ y }} \leq {\text{ }}0\) is
  • A
    second quadrant
    Correct
  • B
    third quadrant
  • C
    \({{\rm{4}}^{{\rm{th}}}}\) quadrant
  • D
    first quadrant
6
If a , b , c are real numbers such that \({\text{a }} < {\text{ b }},{\text{ c }} \geq {\text{ }}0\), then
  • A
    \({\text{ac }} > {\text{ bc}}\)
  • B
    \({\text{ac }} < {\text{ bc}}\)
  • C
    none of these
  • D
    \({\text{ac }} \leq {\text{ bc}}\)
    Correct
7
Region represented by the system \({\text{x }} \geq {\text{ }}0{\text{ }},{\text{ y }} \geq {\text{ }}0\) of inequations is
  • A
    none of these.
  • B
    \({{\rm{3}}^{{\rm{rd}}}}\) quadrant
  • C
    \({{\rm{1}}^{{\rm{st}}}}\) quadrant
    Correct
  • D
    \({{\rm{2}}^{{\rm{nd}}}}\) quadrant
8
If a , b , c are real numbers such that \({\text{a }} \leq {\text{ b }},{\text{ c }} > {\text{ }}0\), then
  • A
    \({\text{ac }} \leq {\text{ bc}}\)
    Correct
  • B
    \({\text{ac }} < {\text{ bc}}\)
  • C
    \({\text{ac }} > {\text{ bc}}\)
  • D
    \({\text{ac }} \geq {\text{ bc}}\)
9
Solution set of the inequality y < 0 is
  • A
    half of XOY – plane which lies above x -axis
  • B
    half of XOY – plane which lies below x -axis
    Correct
  • C
    none of these
  • D
    half of XOY – plane which lies below x –axis , including the points on x – axis
10
If a , b , c are real numbers such that \({\text{a }} \leq {\text{ b }},{\text{ c }} < {\text{ }}0\), then
  • A
    none of these
  • B
    \({\text{ac}} \leq {\text{ bc}}\)
  • C
    \({\text{ac }} > {\text{ bc}}\)
  • D
    \({\text{ac }} \geq {\text{ bc}}\)
    Correct
11
If a , b , c are real numbers such that \({\text{a }} > {\text{ b }},{\text{ c }} < {\text{ }}0\)
  • A
    none of these
  • B
    \({\text{ac }} > {\text{ bc}}\)
  • C
    \({\text{ac }} < {\text{ bc}}\)
    Correct
  • D
    \({\text{ac }} \geq {\text{ bc}}\)
12
Solution set of the inequality \({\text{2x }} \geq {\text{ }}0\) is
  • A
    half of XOY –plane which lies on the right of x – axis .
  • B
    none of these
  • C
    half of XOY –plane which lies on the right of y – axis , including the points on y – axis .
    Correct
  • D
    half of XOY –plane which lies on the right of y – axis .
13
If \({\text{x }} < {\text{ 5}}\), then
  • A
    \( - {\text{ x }} > {\text{ }} - {\text{ 5}}\)
    Correct
  • B
    none of these .
  • C
    \({\text{x }} > {\text{ }} - {\text{ 5}}\)
  • D
    \( - {\text{ x }} < {\text{ 5}}\)
14
Given that x , y and b are real numbers and \({\text{x }} < {\text{ y }},{\text{ b }} < {\text{ }}0\), then
  • A
    \({\text{x}}/{\text{b }} < {\text{ y}}/{\text{b}}\)
  • B
    \({\text{x}}/{\text{b }} \geq {\text{ y}}/{\text{b}}\)
  • C
    \({\text{x}}/{\text{b }} > {\text{ y}}/{\text{b}}\)
    Correct
  • D
    \({\text{x}}/{\text{b }} \leq {\text{ y}}/{\text{b}}\)
15
solution set of the inequations \({\text{x }} \geq {\text{ 2 }},{\text{ x}} \leq {\text{ }} - {\text{ 3}}\) is
  • A
    ( -3 ,2 )
  • B
    { }
    Correct
  • C
    [2 , -3 ]
  • D
    [ -3 , 2 ]