Choose the correct answer from the given four options. The probability that a person is not a swimmer is 0.3. The probability that out of 5 persons 4 are swimmers is:

1. ^5 C_4(0.7)^4(0.3) Solution: Here, p =0.3 =0.7 and q=0.3,n=5 and r=4 Required probability = ^5 C_4(0.7)^4(0.3)

Choose the correct answer from the given four options. The probab…

The value of $b$ for which the function $f(x)=x+\cos x+b$ is strictly decreasing over $R$ is

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The direction cosines of the normal to the plane 2x - 3y - 6z - 3 = 0 are:

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Choose the correct answer from the given four options.
If A and B are matrices of same order, then (AB′ – BA′) is a:

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A function $f: R \rightarrow R$ defined as $f(x)=x^2-4 x+5$ is:

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The sides of an equilateral triangle are increasing at the rate of 2cm/ sec. The rate at which the area increases, when side is 10cm is:

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$\int\limits_{-\frac{\pi}{4}}^{\frac{\pi}{4}}\sec^2\text{x dx}$ is equal to:

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Choose the correct answer
The planes: $2x – y + 4z = 5$ and $5x – 2.5y + 10z = 6$ are:

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The equation of a line passing through point (2, -1, 0) and parallel to the line $\frac{ x }{1}=\frac{ y -1}{2}=\frac{2- z }{2}$ is:

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Area between the curve $\text{y}=\cos^2\text{x},$ x-axis and ordinates x = 0 and x = p in the interval (0, p) is:

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What is the value of $ \cos^{-1}(-\text{x})$ for all x belongs to [-1, 1]?

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