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MCQ Questions

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Given that a = i+j+k, b = i-j+k and c = i+j–k, find (a x b).c:

50% Students have submitted correct Answer.

2 Total 50% Correct
A die is rolled three times. What is the probability of getting at least one ‘6’?

0% Students have submitted correct Answer.

1 Total 0% Correct
Two cards are drawn at random from a pack of 52 cards. What is the probability that both are aces?

33.33% Students have submitted correct Answer.

3 Total 33.33% Correct
In a triangle ABC, if tan A = 1/2, tan A = 1/2and tan A = 1/2. find the area of the triangle.

0% Students have submitted correct Answer.

1 Total 0% Correct
Find the value of c for which the function $$f(x)= \begin{cases} 2x^2 + 3cx + 5 & \text{if } x < 1 \\ cx^2 + 3x - 2 & \text{if } x \geq 1 \end{cases}$$ is continuous.

60% Students have submitted correct Answer.

5 Total 60% Correct
$$Find \frac{{dy}}{{dx}} if y = sin^{{-1}} (\frac{{2x}}{{1 + x^{{2}}}}).$$

25% Students have submitted correct Answer.

4 Total 25% Correct
The radius of a circle is increasing at a rate of 3 cm per second. At what rate is the area of the circle increasing when the radius is 5 cm?

66.67% Students have submitted correct Answer.

3 Total 66.67% Correct
Find the integral $$ \int \frac{e^{x} \cos{x}}{(1 + e^x)^2} \, dx :$$

0% Students have submitted correct Answer.

9 Total 0% Correct
If cos-1 x + cos-1 y = , then x2 + y2 =

40% Students have submitted correct Answer.

10 Total 40% Correct
Which of the following sentences uses the correct article?

66.67% Students have submitted correct Answer.

3 Total 66.67% Correct
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