IIT JAM Exam > IIT JAM Tests > Differential Calculus NAT Level - 2 - IIT JAM MCQ

Test Description

Differential Calculus NAT Level - 2 for IIT JAM 2024 is part of IIT JAM preparation. The Differential Calculus NAT Level - 2 questions and answers have been prepared
according to the IIT JAM exam syllabus.The Differential Calculus NAT Level - 2 MCQs are made for IIT JAM 2024 Exam.
Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Differential Calculus NAT Level - 2 below.

Solutions of Differential Calculus NAT Level - 2 questions in English are available as part of our course for IIT JAM & Differential Calculus NAT Level - 2 solutions in
Hindi for IIT JAM course.
Download more important topics, notes, lectures and mock test series for IIT JAM Exam by signing up for free. Attempt Differential Calculus NAT Level - 2 | 10 questions in 45 minutes | Mock test for IIT JAM preparation | Free important questions MCQ to study for IIT JAM Exam | Download free PDF with solutions

*Answer can only contain numeric values

Differential Calculus NAT Level - 2 - Question 1

Maximum area of a rectangle which can be inscribed in a circle of given radius R is given by αR^{2}. Find the value of α.

Detailed Solution for Differential Calculus NAT Level - 2 - Question 1

*Answer can only contain numeric values

Differential Calculus NAT Level - 2 - Question 2

The radius of a right circular cylinder increases at a constant rate. Its altitude is a linear function of the radius and increases three times as fast as radius. When the radius is 1 *cm* the altitude is 6 *cm*. When the radius is 6 *cm*, the volume is increasing at the rate of 1 *cm*/*s*. When the radius is 36 *cm*, the volume is increasing at a rate of *n* cm^{3}/s. The value of '*n*' is equal to :

Detailed Solution for Differential Calculus NAT Level - 2 - Question 2

1 Crore+ students have signed up on EduRev. Have you? Download the App |

*Answer can only contain numeric values

Differential Calculus NAT Level - 2 - Question 3

The maximum value of is given as (λ/e). The value of λ is

Detailed Solution for Differential Calculus NAT Level - 2 - Question 3

*Answer can only contain numeric values

Differential Calculus NAT Level - 2 - Question 4

Consider the function If α is the length of interval of decrease and β be the length of interval of increase, then β/α is

Detailed Solution for Differential Calculus NAT Level - 2 - Question 4

*Answer can only contain numeric values

Detailed Solution for Differential Calculus NAT Level - 2 - Question 5

*Answer can only contain numeric values

Differential Calculus NAT Level - 2 - Question 6

If the interval of monotonicity of the function Find the value of α?

Detailed Solution for Differential Calculus NAT Level - 2 - Question 6

*Answer can only contain numeric values

Differential Calculus NAT Level - 2 - Question 7

The least area of a circle circumscribing any right triangle of area *S* is given as απS. Find the value of α.

Detailed Solution for Differential Calculus NAT Level - 2 - Question 7

*Answer can only contain numeric values

Differential Calculus NAT Level - 2 - Question 8

Let f(x) = 2x^{3} + ax^{2} + bx - 3cos^{2} x is an increasing function for all x∈R such that ma^{2} + nb + 18 < 0 then the value of m + n + 7 is

Detailed Solution for Differential Calculus NAT Level - 2 - Question 8

*Answer can only contain numeric values

Differential Calculus NAT Level - 2 - Question 9

If the maximum value of the function f(x) = (sin^{-1} x)^{3} + (cos^{-1} x)^{3}, -1 __<__ x __<__ 1 is α and minimum value is β and α - β is of the form n · π^{3}. Find the value of n**.**

Detailed Solution for Differential Calculus NAT Level - 2 - Question 9

*Answer can only contain numeric values

Differential Calculus NAT Level - 2 - Question 10

If a, b, c, d are real numbers such that then the equation ax^{3} + bx^{2} + cx + d = 0 has at least one root in (0, α). Find the value of α.

Detailed Solution for Differential Calculus NAT Level - 2 - Question 10

Information about Differential Calculus NAT Level - 2 Page

In this test you can find the Exam questions for Differential Calculus NAT Level - 2 solved & explained in the simplest way possible.
Besides giving Questions and answers for Differential Calculus NAT Level - 2, EduRev gives you an ample number of Online tests for practice

Download as PDF