GATE XE 2024 Paper 1 — page 5

Questions 13–15 of 175. Imported answers require review unless explicitly marked reviewed.

There are four cities, namely,

and

. The cities are directly connected by four roads as shown in the picture given below, that is,

is connected with

, and

is connected with

. The probability of any road getting blocked is

. Let

be the event of traveling from

via

and

be the event of traveling from

via

. Then, which of the following statements is correct?

Your answerChoose one option.

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Assume that

is continuous on

and differentiable on

such that

for some

. If

, and

is expressed in terms of

and

, then the value of

Your answerChoose one option.

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Let

be a

matrix whose eigenvalues are 2, 3, 4 and let

be the identity matrix of order 3. If

for some integer

, then the value of

is _____

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2024 · Paper 1