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Recent questions tagged set-06
Questions
The de - Broglie wavelength of a particle of mass 6.63 g moving with a velocity of $\;100\;ms^{-1}\;$ is :
jeemain
chemistry
2014
set-06
asked
May 22, 2014
by
yamini.v
0
answers
If m and e are the mass and charge of the revolving electron in the orbit of radius r for hydrogen atom , the total energy of the revolving electron will be :
jeemain
chemistry
2014
set-06
asked
May 22, 2014
by
yamini.v
1
answer
Phthalic acid reacts with resorcinol in the presence of concentrated $\;H_{2}SO_{4}\;$ to give :
jeemain
chemistry
2014
set-06
asked
May 22, 2014
by
yamini.v
0
answers
Which of the following will not show mutarotation ?
jeemain
chemistry
2014
set-06
asked
May 21, 2014
by
yamini.v
0
answers
Aminoglycosides are usually used as :
jeemain
chemistry
2014
set-06
asked
May 21, 2014
by
yamini.v
1
answer
Which one of the following acids does not exhibit optical isomerism ?
jeemain
chemistry
2014
set-06
asked
May 21, 2014
by
yamini.v
0
answers
Which of the following molecules has two sigma $\sigma\;$ and two pi $\pi\;$ bonds ?
jeemain
chemistry
2014
set-06
asked
May 21, 2014
by
yamini.v
0
answers
Let p,q,r denote arbitrary statements . Then the logically equivalent of the statement $\;p \Rightarrow (q \lor r)\;$ is :
jeemain
mathematics
2014
set-06
asked
May 21, 2014
by
yamini.v
0
answers
If $\;f(\theta) = \begin{vmatrix} 1 & cos\theta &1 \\[0.3em] -sin\theta & 1 & \cos \theta \\[0.3em] -1 & sin \theta & 1\end{vmatrix}\;$ and A and B are respectively the maximum and the minimum values of $\;f(\theta)\;$ , then (A ,B) is equal to :
jeemain
mathematics
2014
set-06
asked
May 21, 2014
by
yamini.v
0
answers
Statement I : The equation $\;(sin^{-1} x)^{3} + (cos^{-1} x)^{3} - a \pi^{3}=0\;$ has a solution for all $\;a \geq \large\frac{1}{32}\;$ .\[\] Statement II : For any $\;x \in R\;, sin^{-1}x+cos^{-1}x=\large\frac{\pi}{2}\;$ and $\; 0 \leq (sin^{-1}x - \large\frac{\pi}{4})^{2} \leq \large\frac{9 \pi^{2}}{16}\;$ .
jeemain
mathematics
2014
set-06
asked
May 21, 2014
by
yamini.v
0
answers
A number x is chosen at random from the set $\;\{ 1,2,3,4,...,100\}\;$ .Define the event : A= the chosen number x satisfies $\;\large\frac{(x-10)(x-50)}{(x-30)} \geq 0\;$ Then P(A) is :
jeemain
mathematics
2014
set-06
asked
May 21, 2014
by
yamini.v
0
answers
Let $\;\overline{x}\;$ M.D. be the mean and the mean deviation about $\;\overline{x}\;$ on n observations $\;x_{i} , i=1,2,...,n\;$.If each of the observations is increased by 5 , then the new mean and the mean deviation about the new mean , respectively , are :
jeemain
mathematics
2014
set-06
asked
May 21, 2014
by
yamini.v
0
answers
If $\;\hat{x} , \hat{y}\;$ and $\;\hat{z}\;$ are three unit vectors in three - dimensional space , then the minimum value of $\;|\hat{x} + \hat{y}|^{2} + |\hat{y} + \hat{z}|^{2} + |\hat{z} + \hat{x}|^{2}\;$ :
jeemain
mathematics
2014
set-06
asked
May 21, 2014
by
yamini.v
0
answers
If the distance between planes , $\;4x - 2y -4z+1=0\;$ and $\;4x - 2y -4z+d=0\;$ is 7 , then d is :
jeemain
mathematics
2014
set-06
asked
May 21, 2014
by
yamini.v
0
answers
A symmetrical form of the line of intersection of the planes $\;x=ay+b\;$ and $\;z=cy+d\;$ is :
jeemain
mathematics
2014
set-06
asked
May 21, 2014
by
yamini.v
0
answers
The minimum area of a triangle formed by any tangent to the ellipse $\;\large\frac{x^{2}}{16}+\large\frac{y^{2}}{81} =1\;$ and the co - ordinate axes is :
jeemain
mathematics
2014
set-06
asked
May 21, 2014
by
yamini.v
0
answers
Two tangents are drawn from a point (-2 ,-1) to the curve , $\;y^{2}=4x\;$ . If $\;\alpha\;$ is the angle between them , then $\;|tan \alpha|\;$ is equal to :
jeemain
mathematics
2014
set-06
asked
May 21, 2014
by
yamini.v
0
answers
For the two circles $\;x^{2}+y^{2}=16\;$ and $\;x^{2}+y^{2}-2y=0\;$ , there is/are :
jeemain
mathematics
2014
set-06
asked
May 21, 2014
by
yamini.v
1
answer
If the three distinct lines $\;x+2ay+a=0\;,x+3by+b=0\;$ and $\;x+4ay+a=0\;$ are concurrent , then the point (a,b) lines on a :
jeemain
mathematics
2014
set-06
asked
May 21, 2014
by
yamini.v
0
answers
If a line intercepted between the coordinate axes is trisected at a point $\;A(4,3)\;$ , which is nearer to x - axis, then its equation is :
jeemain
mathematics
2014
set-06
asked
May 21, 2014
by
yamini.v
0
answers
The general solution of the differential equation , $\;sin 2x (\large\frac{dy}{dx} - \sqrt{tanx})-y=0 \;$, is :
jeemain
mathematics
2014
set-06
asked
May 21, 2014
by
yamini.v
0
answers
If for a continuous function f(x) , $\;\int \limits_{\pi}^{t} (f(x)+x) dx = \pi^{2}-t^{2}\;$ , for all $\;t \geq -\pi\;$ , then $\;f(- \large\frac{\pi}{3})\;$ is equal to :
jeemain
mathematics
2014
set-06
asked
May 21, 2014
by
yamini.v
0
answers
If [] denotes the greatest integer function , then the integral $\;\int \limits_{0}^{\pi} [cos x] dx\;$ is equal to :
jeemain
mathematics
2014
set-06
asked
May 21, 2014
by
yamini.v
1
answer
The integral $\;\int \large\frac{sin^{2}x cos^{2}x}{(sin^{3} x +cos^{3} x )^{2}} dx\;$ is equal to :
jeemain
mathematics
2014
set-06
asked
May 21, 2014
by
yamini.v
0
answers
If $\;1+x^{4}+x^{5} = \sum_{i=0}^{5} a_{i} (1+x)^{i}\;$, for all x in R , then $\;a_{2}\;$ is :
jeemain
mathematics
2014
set-06
asked
May 21, 2014
by
yamini.v
0
answers
Let f and g be two differential functions on R such that $\;f^{'}(x) > 0\;$ and $\;g^{'}(x) > 0\;$ for all $\; x \in R\;$. Then for all x :
jeemain
mathematics
2014
set-06
asked
May 21, 2014
by
yamini.v
0
answers
If $\;f(x) = x^{2}-x+5\;,x > \large\frac{1}{2}\;$ , and $\;g(x)\;$ is its inverse function , then $\;g^{'}(7)\;$ equals :
jeemain
mathematics
2014
set-06
asked
May 21, 2014
by
yamini.v
0
answers
Let $\;f , g :R \to R\;$be two functions defined by $\;f(x)=\{ \begin{matrix}x sin(\large\frac{1}{x}) \;, x \neq 0 \\ 0\;,x=0 \end{matrix}\;$ , and $\;g(x)=x f(x)\;$\[\] Statement I : f is a continuous function at x=0 .\[\] Statement II : g is differential function at x=0 .
jeemain
mathematics
2014
set-06
asked
May 21, 2014
by
yamini.v
0
answers
The least positive integer n such that $\;1-\large\frac{2}{3} -\large\frac{2}{3^{2}}- ..... -\large\frac{2}{3^{n-1}} < \large\frac{1}{100}\;$, is :
jeemain
mathematics
2014
set-06
asked
May 21, 2014
by
yamini.v
1
answer
Let G be the geometric mean of two positive numbers a and b, and M be the arithmetic mean of $\;\large\frac{1}{a} \;$ and $\;\large\frac{1}{b}\;$ . If $\;\large\frac{1}{M} : G \;$ is 4 : 5 , then a : b can be :
jeemain
mathematics
2014
set-06
asked
May 21, 2014
by
yamini.v
0
answers
If $\;(2 + \large\frac{x}{3})^{55}\;$ is expanded in the ascending powers of x in two consecutive terms of the expansion are equal , then these terms are :
jeemain
mathematics
2014
set-06
asked
May 21, 2014
by
yamini.v
0
answers
If $\; A=\begin{bmatrix} 1 & 2 & x \\[0.3em] 3 & -1 & 2\end{bmatrix}\;$ and $\; B=\begin{bmatrix} y & x & 1\end{bmatrix}\;$ be such that $\;AB= \begin{bmatrix} 6 \\[0.3em] 8 \end{bmatrix}\;$ , then :
jeemain
mathematics
2014
set-06
asked
May 21, 2014
by
yamini.v
0
answers
If $\; \begin{vmatrix} a^{2} & b^{2} & c^{2} \\[0.3em] (a+\lambda)^{2} &(b+\lambda)^{2} & (c+\lambda)^{2} \\[0.3em] (a-\lambda)^{2} & (b-\lambda)^{2} & (c-\lambda)^{2} \\[0.3em] \end{vmatrix}=k \lambda \begin{vmatrix} a^{2} & b^{2} & c^{2} \\[0.3em] a & b& c \\[0.3em] 1 & 1 & 1 \end{vmatrix}\;,\lambda \neq 0\;$ , then k is equal to :
jeemain
mathematics
2014
set-06
asked
May 21, 2014
by
yamini.v
0
answers
8 - digit number are formed using the digits 1,1,2,2,2,3,4,4.The number of such numbers in which the odd digits do not occupy odd places , is :
jeemain
mathematics
2014
set-06
asked
May 20, 2014
by
yamini.v
0
answers
The sum of the roots of the equation ,$\;x^{2}+|2x-3|-4=0\;$ is :
jeemain
mathematics
2014
set-06
asked
May 20, 2014
by
yamini.v
1
answer
Let $\;z \neq -i\;$ be any complex number such that $\;\large\frac{z-i}{z+i}\;$ is a purely imaginary number . Then $\;z+ \large\frac{1}{z}\;$ is :
jeemain
mathematics
2014
set-06
asked
May 20, 2014
by
yamini.v
0
answers
A relation on the set $\;A=\{x:|x| < 3 , x \in Z\}\;$ where Z is the set of integers is defined by $\;R=\{(x,y) : y=|x| , x \neq -1\}\;$. Then the number of elements in the power set of R is :
jeemain
mathematics
2014
set-06
asked
May 20, 2014
by
yamini.v
0
answers
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