General Questions Set 10:
Convert 10° into radians.
Solution:
Given the ratio of 16Pr-1:15Pr-1 = 16:7, find the value of r.
Solution:
The value of the limit of the function f(x) = (x3 + 2x2)/(4x3 - 7x2) as x approaches 0 is
Solution:
What are the eigenvalues of the matrix:
A = [ 2 0 1 ]
[ 0 2 0 ]
[ 1 0 2 ]
Solution:
Find the mean (μ) and variance (σ²) of the given probability distribution:
X | 0 1 2 3 4 5
P(X) | k 5k 10k 10k 5k k
Solution:
What are the eigen values of the matrix:
A = 1 2 -1
1 0 1
4 -4 5
Solution:
If A = [8 0; 4 -2; 3 6] and B = [2 -2; 4 2; -5 1], then find matrix X, such that 2A + 3X = 5B
Solution:
Find the mean (μ) and variance (σ²) of the given probability distribution:
Xi | 0 1 2 3 4 5
P(Xi) | k 3k 5k 6k 5k 2k
Solution:
Rolle's theorem is applicable to the functions that are:
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The E-Learning platform 'Abekus' creates questions for students. They have three top participants who regularly practice questions. Each participant completes a certain number of questions every month, as given below:
Student A: 350 questions/month
Student B: 400 questions/month
Student C: 450 questions/month
Past experience shows that 1% of the questions answered by Student A are wrong, 1.5% of the questions answered by Student B are wrong, and 2% of the questions answered by Student C are wrong. A question is picked at random, and the answer was wrong. What is the probability that the question was answered by Student C?
Solution:
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