﻿ Engineering Entrance Exam Question and Answers | Linear Inequalities - Zigya

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# Linear Inequalities

#### Multiple Choice Questions

1.

A lizard, at an initial distance of 21 cm behind an insect, moves from rest with an acceleration of 2 cm/s2 and pursues the insect which is crawling uniformly along a straight line at a speed of 20 cm/s. Then the lizard will catch the insect after

• 20 s

• 1 s

• 21 s

• 21 s

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2.

The value of $\mathrm{\lambda }$ such that the system of equations 2x - y - 2z = 2; x - 2y + z = - 4; x + y + $\mathrm{\lambda }$z = 4, has no solution, is

• 3

• 1

• 0

• - 3

3.

Performing 3 iterations of bisection method the smallest positive approximate root of the equation x3 - 5x + 1 = 0, is

• 0.25

• 0.125

• 0.52

• 0.1875

4.

The feasible region represented x1 + x2 $\le$ 1, - 3x1 + x2 $\ge$ 3, () is

• a polygon

• a singleton set

• empty set

• None of these

5.

The set of all solutions of the inequation  in R is

• $\mathrm{\varphi }$

6.

The set of all real values for which the function

has exactly one maxima and exactly one minima, is