﻿ Engineering Entrance Exam Question and Answers | Limits and Derivatives - Zigya

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Limits and Derivatives

Multiple Choice Questions

41.

is equal to

• $2\mathrm{csc}\left(2\mathrm{\alpha }\right)$

• $\frac{1}{2}\mathrm{sin}\left(2\mathrm{\alpha }\right)$

• None of these

D.

None of these

42.

For each t ∈R, let [t] be the greatest integer less than or equal to t. Then

• does not exist (in R)

• is equal to 0

• is equal to 15

• is equal to 120

D.

is equal to 120

43.
• 1/4

• 1/24

• 1/16

• 1/16

C.

1/16

396 Views

44.

If 5(tan2x – cos2x) = 2cos 2x + 9, then the value of cos4x is

• -7/9

• -3/5

• 1/3

• 1/3

A.

-7/9

⇒5(1 – t – t2) = t(4t + 7)
⇒ 9t2 + 12t – 5 = 0
⇒ 9t2 + 15t – 3t – 5 = 0
⇒ (3t – 1) (3t + 5) = 0
⇒ t = t/3 as t≠-5/3.
cos2x = 2(1/3)-1 = -1/3

542 Views