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GATE (CE) 2022: MATHEMATICS #5 (App update required to attempt this test)

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Question 1

Statement 1: The function  has a local maxima at x = -1

Statement 2: The derivative of  is zero at x = -1

Question 2

Messi accelerates from its goal post to opposite post and travels a distance of 90 m in 12 seconds. According to the mean value theorem, the virtual speedometer at a certain time during his acceleration must read exactly—

Question 3

The maximum area (magnitude) of the rectangle whose vertices lies on the ellipse x2 + 9y2 = 1 is ---

Question 4

The function  will have

Question 5

Which one of the following is NOT a correct statement?

Question 6

The right circular cone of largest volume that can be enclosed by sphere of 1 m radius has a diameter of
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Jun 10ESE & GATE CE

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Amritansh MishraAmritansh MishraMember since Jul 2020
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