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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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}…
Topic: NIMCET 2013
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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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\h…
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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.
Topic: NIMCET 2013
The number if non –negative integers less than 1000 that contain the digit 1 are.
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In a $\Delta ABC$ , $(c+a+b)(a+b-c)=ab$ The measure of the angle C is.
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The equations of the line parallel to the line $2x – 3y = 7$ and passing through the middle point of the line segment j…
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If $log_x^y=100$ and $log_2^x=10$ then the value of y is.
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In how many different ways can the letters of the word “CORPORATION” be arranged so that all the vowels is always come …
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The minimum value of the function $y=2x^{3}+36x-20$ 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 t…
Topic: NIMCET 2013
The total number of numbers that can be formed using the digits 3,5 and 7
only if no repetitions are allowed, is.
Topic: NIMCET 2013
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: X 123 P(X=x) 0.30.4 0.3&nb…
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The value of $\tan\theta+2\tan2\theta + 4\tan4\theta + 8\cot8\theta$ is
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The sum of integers between 200 and 400, that are multiples of 7 is
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$lim_{x\to0}\left [ \frac{tanx-x}{x^{2}tanx} \right ]$ is equal to
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Two fair dice are tossed. What is the probability that the total score is a prime number?
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Find the equation of the circle which passes through (–1, 1) and (2, 1), and having centre on the
line x + 2y + 3 = 0 .
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Let $\vec{a}, \vec{b}, \vec{c}$ be the position vectors of three vertices A, B, C of a triangle respectively then the a…
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