Engineering Mathematics - Online Test

Q1. In a quadratic function, the value of the product of the roots (α, β) is 4. Find the value of 
Answer : Option A
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Q2.
Choose the correct expression for f(x) given in the graph.
Answer : Option C
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No Explaination.


Q3. The Laplace Transform of f(t) = e2t sin(5t) u(t) is
Answer : Option A
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Q4. The value of  where δ(t) is the Dirac delta function, is
Answer : Option A
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Q5. Let the eigenvalues of a 2 x 2 matrix A be 1, -2 with eigenvectors x1 and x2 respectively. Then the eigenvalues and eigenvectors of the matrix A− 3A + 4I would, respectively, be
Answer : Option A
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Q6. Let A be a 4 × 3 real matrix with rank 2. Which one of the following statement is TRUE?
Answer : Option B
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Q7. Shaquille O’ Neal is a 60% career free throw shooter, meaning that he successfully makes 60 free throws out of 100 attempts on average. What is the probability that he will successfully make exactly 6 free throws in 10 attempts?
Answer : Option A
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Q8. A 3 × 3 matrix P is such that, P3 = P. Then the eigenvalues of P are
Answer : Option D
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Q9. The solution of the differential equation, for  with initial conditions y(0) = 0 and  is (u(t) denotes the unit step function),
Answer : Option A
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Q10. The value of the integral  is equal to
Answer : Option D
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