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GATE 2023 II Engg. Mathematics Quiz 14

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Question 1

The value of a for which the function  , is continuous at

Question 2

If , then the value of is

Question 3

The limit of the function will be:

Question 4

If f(x) = , then the value of a so that f(x) may be continuous at x = 0 is -

Question 5

Find the degree of this homogenous function f(x, y) = x2y2 + 2x3y + x4 tan

Question 6

If find the value of

Question 7

A coin is tossed and a single 6-sided dice is rolled. Find the probability of getting a head on the coin and a 3 on the dice.

Question 8

What is the probability both the two dices thrown show a number multiple of 3?
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