CBSE Questions for Class 11 Engineering Maths Linear Inequalities Quiz 4 - MCQExams.com

The system of equation $$|x-1|+3y=4$$, $$x-|y-1|=2$$ has
  • No solution
  • A unique solution
  • Two solutions
  • More than two solutions
$$4x + 5 < 65$$  is not an equation.
  • True
  • False
If x $$\epsilon$$ I, the solution set of the inequation $$-2 \leq x < 3$$ is 
  • $${-2, -1, 0, 1, 2}$$
  • $${-1, 0, 1, 2, 3}$$
  • $${0, 1, 2, 3}$$
  • $${0, 1, 2}$$
State, true or false:
$$ 2 x \leq-7 \quad \Rightarrow \quad 2 x /-4 \geq-7 /-4 $$
  • True
  • False
State, true or false:
$$ -5 x \geq 15 \Rightarrow \quad x \geq-3 $$
  • True
  • False
State, true or false:
$$ x<-y \quad \Rightarrow \quad-x>y $$
  • True
  • False
Which of the following is correct?
  • Every LPP has an optimal solution
  • A LPP has unique optimal solution
  • If LPP has two optimal solutions, then it has infinite number of optimal solutions
  • The set has two optimal solutions, then it has infinite number of optimal solutions
The half plane represented by 3x + 2y < 8 contains the point
  • $$\left ( 1, \dfrac{5}{2} \right )$$
  • (2, 1)
  • (0, 0)
  • (5, 1)
Region represented by the inequation system
$$x + y \leq 3$$
$$y \leq 6$$
and $$x \geq 0,y \geq 0$$
is :
  • Unbounded in the first quadrant
  • Unbounded in the first and second quadrant
  • Bounded in the first quadrant
  • None of the above

$$y = {x^2} - 4x$$ Find the minimum value of y 
  • -2
  • -4
  • 4
  • 5
If $${ ax }^{ 2 }+\frac { b }{ x } \ge c\;\; \forall\; x\in R^{ + }$$ where $$a>0$$ and $$b>0$$ then
  • $${ 27ab }^{ 2 }\ge { 4c }^{ 3 }$$
  • $${ 27ab }^{ 3 }\ge { 4c }^{ 3 }$$
  • $${ 27a^{ 2 }b }^{ 2 }\ge { 4c }^{ 3 }$$
  • $${ 27a^3b }\ge { 4c }^{ 3 }$$
If the system of inequalities $$y \ge 2x+1$$ and $$y > \dfrac{1}{2}x-1$$ is graphed in the $$xy$$-plane above, which quadrant contains no solutions to the system?
490389.jpg
  • Quadrant II
  • Quadrant III
  • Quadrant IV
  • There are solutions in all four quadrants
One-half of a number is 17 more than one-third of that number. What is the number?
  • 52
  • 84
  • 102
  • 112
The point (3, 2) is reflected in the y-axis and then moved a distance of 5 units towards the negative side of y-axis. The coordinates of the point thus obtained are  
  • (-3, -3)
  • (3, 3)
  • (-3, 3)
  • (3, -3)
The recommended daily calcium intake for a 20-year-old is 1,000 milligrams (mg). One cup of milk contains 299 mg of calcium and one cup of juice contains 261 mg of calcium. Which of the following inequalities represents the possible number of cups of milk m and cups of juice j a 20-year-old could drink in a day to meet or exceed the recommended daily calcium intake from these drinks alone?
  • $$\displaystyle 299m+261j\ge 1000$$
  • $$\displaystyle 299m+261j>1000$$
  • $$\displaystyle \frac { 299 }{ m } +\frac { 261 }{ j } \ge 1000$$
  • $$\displaystyle \frac { 299 }{ m } +\frac { 261 }{ j } >1000$$
Which of the following is a correct graph of $$x>1, x<4$$?
537662.PNG
  • Line A
  • Line B
  • Line C
  • Line D
  • Line E
Graphical solution of $$2 x+y-2>0$$
The solution set of the inequation $$| x - 1 | + | x - 2 | + | x - 3 | \geq 6 ,$$
  • $$[ 0,4 ]$$
  • $$( - \infty , - 2 ) \cup [ 4 , \infty )$$
  • $$( - \infty , 0 ] \cup [ 4 , \infty )$$
  • none of these
The solution of $$2^{x}+2^{|x|}\geq 2\sqrt{2}$$  is 
  • $$\left ( (-\infty ,log_{2}(\sqrt{2}+1)) \right )$$
  • $$(0,\infty )$$
  • $$\left ( \frac{1}{2}, log_{2}(\sqrt{2}-1) \right )$$
  • $$(-\infty , log_{2}(\sqrt{2}-1)]\cup [\frac{1}{2},\infty )$$
If $$xy=2(x+y), x< y$$ and $$x, y \in N$$, number of  solutions of the equation 
  • Two
  • Three
  • No solutions
  • Infinitely many solutions
0:0:1


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