NIMCET 2013 Previous Year Questions (PYQs) – Page 4 of 12
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The lines 3x – 4y + 4 = 0 and 6x – 8y – 7 = 0 are tangent to the same circle. The radius of the this circle is.
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The area of the parallelogram whose diagonals are $\vec{a}=3\hat{i}+\hat{j}-2\hat{k}$ and $\vec{b}=\hat{i}-3\hat{j}+4\hat{k}$ is
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If $sin x + a cos x = b$, then what is the expression for $|a sin x – cos x|$ in terms of $a$ and $b$?
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If A and B are two events such that $P(A \cup B)=\frac{5}{6}$ , $P(A \cap B)=\frac{1}{3}$ and $P(\overline{B})=\frac{1}{2}$, then the events A and B are
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If there vectors $2\hat{i}-\hat{j}+\hat{k}$ , $\hat{i}+2\hat{j}-3\hat{k}$ and $3\hat{i}+\lambda \hat{j}+5\hat{k}$ are coplanar, then $\lambda$ is
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The equation of the base of an equilateral triangle is x + y = 2 and the vertex is (2, –1). The length of the side of the triangle is.
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The total number of numbers that can be formed using the digits 3,5 and 7
only if no repetitions are allowed, is.
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If x = a cos t, y = b sin t, then $\frac{d^{2}y}{dx^{2}}$ is
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A random variable X has the distribution law as given below:
The variance of the distribution is
| X | 1 | 2 | 3 |
| P(X=x) | 0.3 | 0.4 | 0.3 |
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The value of $\tan\theta+2\tan2\theta + 4\tan4\theta + 8\cot8\theta$ is
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