GATE ME 2022 Paper 2 — page 16

Complete GATE ME 2022 Paper 2 overview, original pages and practice · Timed previous-paper practice

Questions 46–48 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 16 of 22

A is a

real matrix of rank 2. For the set of homogeneous equations

, where

is a zero vector and

is a vector of unknown variables, which of the following is/are true?

Your answerSelect all correct options. You can choose more than one.

The given set of equations will have a unique solution.

The given set of equations will be satisfied by a zero vector of appropriate size.

The given set of equations will have infinitely many solutions.

The given set of equations will have many but a finite number of solutions.

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The lengths of members BC and CE in the frame shown in the figure are equal. All the members are rigid and lightweight, and the friction at the joints is negligible. Two forces of magnitude

are applied as shown, each at the mid-length of the respective member on which it acts. Which one or more of the following members do not carry any load (force)?

Diagram for Mechanical Engineering question 47

Your answerSelect all correct options. You can choose more than one.

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If the sum and product of eigenvalues of a

real matrix

are 4 and

respectively, then

is _____ (in integer).

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2022 · Paper 2

Question 46

Question 47

Question 48