The equations of the line parallel to the line $2x – 3y = 7$ and passing through the middle point of the line segment joining the points (1, 3) and (1, –7) is.
Previous 10 Questions — NIMCET 2013
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If $log_x^y=100$ and $log_2^x=10$ then the value of y is.
Topic: NIMCET 2013
In how many different ways can the letters of the word “CORPORATION” be arranged so that all the vowels is always come …
Topic: NIMCET 2013
The minimum value of the function $y=2x^{3}+36x-20$ is
Topic: NIMCET 2013
The value of $9^{\frac{1}{3}}.9^{\frac{1}{9}}.9^{\frac{1}{27}}..... \infty $is.
Topic: NIMCET 2013
Force $3\hat{i}+2\hat{j}+5\hat{k}$ and $2\hat{i}+\hat{j}-3\hat{k}$ are acting on a particle and displace it from the po…
Topic: NIMCET 2013
The sum of $n$ terms of an arithmetic series is 216. The value of the first term is $n$ and the value of the
$n^{th}$ t…
Topic: NIMCET 2013
A man observes the angle of elevation of the top of mountain to be 30o. He walks 1000 feet nearer and
finds the angle o…
Topic: NIMCET 2013
Atal Speaks truth in 70% and George speaks the truth in 60% cases. In what percentage of cases they
are likely to contr…
Topic: NIMCET 2013
Find the point at which, the tangent to the curve $y=\sqrt{4x-3}-1$ as its slope $\frac{2}{3}$
Topic: NIMCET 2013
Let $f(x)$ be a polynomial function of second degree and $f(1) = f(–1)$. If $a, b, c$ are in A.P. then $f'(a), f'(b), f…
Topic: NIMCET 2013
Next 10 Questions — NIMCET 2013
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In a $\Delta ABC$ , $(c+a+b)(a+b-c)=ab$ The measure of the angle C is.
Topic: NIMCET 2013
The number if non –negative integers less than 1000 that contain the digit 1 are.
Topic: NIMCET 2013
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 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…
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 $b$?
Topic: NIMCET 2013
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 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 c…
Topic: NIMCET 2013
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
Topic: NIMCET 2013
