BSC 3rd Year Maths Important Mcqs with answers

Studying BSC 3rd Year Maths Important Mcqs with answers is Good for your Exam Preparation. They Can Help You To Cover Maximum Syllabus In Minimum Time.

Maths Is A Difficult Subject if You Lack Knowledge About Its Calculations. In This Post We Have Compiled Some important questions For Students in First Year Of BSC Course.

These Multiple Choice Questions Mentioned Here Are Extracted From Previous Year Question Papers And They Help You Learn Important Knowledge about Maths Theory Based Question as well as Practical Question

BSC 3rd Year Maths Important Mcqs with answers

Question: The area enclosed by the curves y = x^2 and y = x is:

a. 1/6
b. 1/3
c. 1/2
d. 2/3

Answer: a. 1/6

[expand title=”View Explanation”]Explanation: The area between two curves is given by the integral of the absolute difference of the functions. Here, the area is given by ∫ |x^2 – x| dx from 0 to 1, which equals 1/6.

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Question: The function f(x) = log(x) is undefined at:

a. x = 0
b. x = 1
c. x = -1
d. x = e

Answer: a. x = 0

[expand title=”View Explanation”]Explanation: The logarithm function is undefined at x = 0, because there’s no exponent you can raise to the base to get 0.

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Question: The derivative of y = cos(x) is:

a. -sin(x)
b. sin(x)
c. -cos(x)
d. cos(x)

Answer: a. -sin(x)

[expand title=”View Explanation”]Explanation: The derivative of cos(x) is -sin(x).

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Question: If the vectors a = [1, 2] and b = [3, 4], the angle between the vectors is:

a. 0 degrees
b. 45 degrees
c. 90 degrees
d. None of the above

Answer: d. None of the above

[expand title=”View Explanation”]Explanation: The angle between two vectors is given by cos(θ) = (a.b)/(|a||b|). Here, a.b = 1*3 + 2*4 = 11, |a| = sqrt(1^2 + 2^2) = sqrt(5), |b| = sqrt(3^2 + 4^2) = 5, so cos(θ) = 11/(sqrt(5)*5). This value does not correspond to any of the given options.

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Question: The solution to the differential equation dy/dx = y^2 with the initial condition y(0) = 1 is:

a. y = 1/(1 – x)
b. y = 1/(1 + x)
c. y = e^x
d. y = e^-x

Answer: a. y = 1/(1 – x)

[expand title=”View Explanation”]Explanation: The given differential equation is a first-order linear differential equation. The general solution is y = Ce^x, and using the initial condition y(0) = 1, we find C = 1, so the solution is y = e^x.
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Question: If the vectors u = [1, 2, 3] and v = [4, 5, 6], then u • v (dot product) is:

a. 32
b. 28
c. 26
d. 24

Answer: a. 32

[expand title=”View Explanation”]Explanation: The dot product of u and v is computed as u • v = 1*4 + 2*5 + 3*6 = 32.
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Question: The integral of ∫x^2 e^x dx from 0 to 1 is:

a. e – 2
b. e + 1
c. 2e – 2
d. 2e + 1

Answer: a. e – 2

[expand title=”View Explanation”]Explanation: The integral can be computed using integration by parts. The result of the integral from 0 to 1 is e – 2.

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Question: The slope of the line tangent to the curve y = ln(x) at x = 1 is:

a. 0
b. 1
c. e
d. -1

Answer: b. 1

[expand title=”View Answer”]Explanation: The slope of the tangent line at a point is given by the derivative at that point. The derivative of y = ln(x) is y’ = 1/x, so at x = 1, y’ = 1.
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