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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

, then the value of

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

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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