My Report

Mathematics – Class 11 Practice Test 9


Correct Answer: 2 points | Wrong: -1 point
Grades: A* (100% score) | A (80%-99%) | B (60%-80%) | C (40%-60%) | D (0%-40%)
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1. If \(\lim\limits_{x \rightarrow a}\frac{(a^x-x^a)}{x^x-a^a}\) = -1 then, what is the value of a?

2. If A (x1, y1) and B (x2, y2) be two points on the curve y = ax2 + bx + c, then as perLagrange's mean value theorem whichof the following is correct?

3. The compound statement with ‘And’ is true if ________ its component statements are __________

4. The derivative of ln⁡ ex = 1. Is the statement true or false?

5. What is the value of \(\frac{d}{dx}(\frac{sec⁡x}{cosec\, x \,tan⁡x}\))?

6. What is the number of critical points for f(x) = max(sinx, cosx) for x belonging to (0, 2π)?

7. What is the value of \(\frac{d}{dx}\) (ex tan x) at x = 0?

8. The compound statement with ‘Or’ is false if ________ of its component statements are __________

9. “All integers are positive or negative”. Is this ‘or’ is inclusive?

10. Find the derivative of ex2.


 

Manish Bhojasia - Founder & CTO at Sanfoundry
Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He lives in Bangalore, and focuses on development of Linux Kernel, SAN Technologies, Advanced C, Data Structures & Alogrithms. Stay connected with him at LinkedIn.

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