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Recent questions tagged set f
Questions
Consider the following statement : P: Suman is brilliant Q: Suman is rich R: Suman is honest . The negation of the statement , "Suman is brilliant and dishonest if and only if Suman is rich" can be equivalently expressed as :
jeemain
2015
maths
set f
asked
Oct 8, 2015
by
meena.p
1
answer
Let $10$ vertical poles standing at equal distance on a straight line, subtend the same angle of elevation $\alpha$ at a point O on this line and all the poles are on the same side of O. If the height of the longest pole is 'h' and the distance of the foot of the smallest pole from O is 'a'; then the distance between two consecutive poles, is :
jeemain
2015
maths
set f
asked
Oct 8, 2015
by
meena.p
1
answer
If $\cos \alpha+ \cos \beta= \large\frac{3}{2}$ and $\sin \alpha +\sin \beta=\frac{1}{2}$ and $\theta$ is the airthmetic mean of $\alpha$ and $\beta$ then $\sin 2 \theta+ \cos 2 \theta$ is equal to :
jeemain
2015
maths
set f
asked
Oct 8, 2015
by
meena.p
1
answer
If the mean and the variance of a binomial variate X are 2 and 1 respectively, then the probability that X takes a values greater than or equal to one is :
jeemain
2015
maths
set f
asked
Oct 8, 2015
by
meena.p
1
answer
If the length of the sides of a triangle are decided by the three throws of a single fair die, then the probability that the triangle is of maximum are given that it is an isosceles triangle , is :
jeemain
2015
maths
set f
asked
Oct 8, 2015
by
meena.p
1
answer
In a parallelogram $ABCD, |\overrightarrow{AB}|=a;|\overrightarrow{AD}|=b $ and $|\overrightarrow{AC}|=c$, then $\overrightarrow{DB}.\overrightarrow{AB}$ has the value :
jeemain
2015
maths
set f
asked
Oct 8, 2015
by
meena.p
1
answer
A plane containing the point $(3,2,0)$ and the line $ \large\frac{x-1}{1} =\frac{y-2}{5} =\frac{z-3}{4}$ also contains the point :
jeemain
2015
maths
set f
asked
Oct 8, 2015
by
meena.p
1
answer
The shortest distance between the z- axis and the line $x+y+2z-3=0=2x+3y+4z-4$ is
jeemain
2015
maths
set f
asked
Oct 8, 2015
by
meena.p
1
answer
Let $PQ$ be a double ordinate of the parabola, $y^2=-4x$ , Where $P$ lies in the second quadrant . If R divides PQ in the ratio $2:1$ then the locus of R is :
jeemain
2015
maths
set f
asked
Oct 8, 2015
by
meena.p
1
answer
If the distance between the foci of an ellipse is half the length of its latus recturn , then the eccentricity of the ellipse is :
jeemain
2015
maths
set f
asked
Oct 8, 2015
by
meena.p
1
answer
If a circle passing through the point $(-1,0)$ touches y-axis at $(0,2)$ then the length of the chord of the circle along the x- axis is :
jeemain
2015
maths
set f
asked
Oct 8, 2015
by
meena.p
1
answer
If the incentre of an equilateral triangle is $(1,1)$ and the equation of its one side is $3x+4y+3=0$, then the equation of the circumcircle of this triangle is :
jeemain
2015
maths
set f
asked
Oct 8, 2015
by
meena.p
1
answer
A straight line L through the point $(3,-1)$ is inclined at an angle of $60^{\circ}$ to the line $\sqrt 3 x+y=1$ . If L also intersects the x- axis then the equation of L is :
jeemain
2015
maths
set f
asked
Oct 8, 2015
by
meena.p
1
answer
The solution of the differential equation $ydx-(x+2y^2)dy=0$ is $x=f(0)$. If $f(-1)=1$ then $f(1)$ is equal to
jeemain
2015
maths
set f
asked
Oct 7, 2015
by
meena.p
1
answer
Let $f:(-1,1) \to R$ be a continuous function . If $\int\limits_0^{\sin x }f(t)dt =\large\frac{\sqrt 3}{2}$$x$ , then $f\bigg(\large\frac{\sqrt 3}{2} \bigg)$ is equal to
jeemain
2015
maths
set f
asked
Oct 7, 2015
by
meena.p
1
answer
Let $f: R \to R $ be a function such that $f(2-x)=f(2+x) $ and $f(4-x)=f(4+x) ,$ for all $x \in R$ and $\int \limits_0^2 f(x) dx =5$ Then the values of $\int \limits_{10}^{50} f(x) dx$ is
jeemain
2015
maths
set f
asked
Oct 7, 2015
by
meena.p
1
answer
If $\int \large\frac{\log(t+\sqrt{1+t^2})}{\sqrt {1+t^2}}$$dt= \large\frac{1}{2}$$(g(t))^2+C$, Where C is a constant , then $g(2)$ is equal to :
jeemain
2015
maths
set f
asked
Oct 7, 2015
by
meena.p
1
answer
From the top of a 64 meters high tower , a stone is thrown upwards vertically with the velocity of $48\;m/s$ The greatest height (in meters) attained by the stone, assuming the value of the gravitational acceleration $ g= 32\;m/s^2$ is :
jeemain
2015
maths
set f
asked
Oct 7, 2015
by
meena.p
1
answer
Let k and K be the minimum and the maximum values of the function $f(x)= \large\frac{(1+x)^{0.6}}{1+x^{0.6}}$ in $[0,1]$ respectively , then the ordered pair $(k,K)$ is equal to :
jeemain
2015
maths
set f
asked
Oct 7, 2015
by
meena.p
1
answer
The equation of a normal to the curve , $\sin y = x \sin \bigg( \large\frac{\pi}{3}+y\bigg)$ at $x=0$ is
jeemain
2015
maths
set f
asked
Oct 7, 2015
by
meena.p
1
answer
Let k be a non-zero real number . If $f(x) = \left\{ \begin{array} {1 1} \large\frac{ (e^x-1)^2 }{\sin(x/k) log(1+x/4)}, & \quad x \neq 0 \\ 12 ,& \quad x=0\\ \end{array} \right. $ is a continuous function, then the value of k is
jeemain
2015
maths
set f
asked
Oct 7, 2015
by
meena.p
1
answer
If $ \sum^5_{n=1} \large\frac{1}{n(n+1)(n+2)(n+3)}=\frac{k}{3}$, then $k$ to equal to :
jeemain
2015
maths
set f
asked
Oct 7, 2015
by
meena.p
1
answer
The Sum of the 3rd and the 4th terms of a G.P is 60 and the product of its first three terms is 1000. If the first term of this G.P is positive , then its 7th term is :
jeemain
2015
maths
set f
asked
Oct 6, 2015
by
meena.p
1
answer
The term independent of x in the binomial expansion of $ \bigg( 1- \large\frac{1}{x}$$+3x^5\bigg) \bigg(2x^2-\large\frac{1}{x}\bigg)^8$ is
jeemain
2015
maths
set f
asked
Oct 6, 2015
by
meena.p
1
answer
If in a regular polygon the number of diagonals is $54$ , then the number of sides of this polygon is :
jeemain
2015
maths
set f
asked
Oct 6, 2015
by
meena.p
1
answer
If $\begin{vmatrix} x^2+x & x+1 & x-2 \\2x^2+3x-1 & 3x & 3x-3 \\ x^2+2x+3 & 2x-1 & 2x-1 \end{vmatrix}=ax-12$ then 'a' is equal to :
jeemain
2015
maths
set f
asked
Oct 6, 2015
by
meena.p
1
answer
If A is a $3 \times 3 $ matrix such that $|5.adj A|=5,$ then $|A|$ is equal to :
jeemain
2015
maths
set f
asked
Oct 6, 2015
by
meena.p
1
answer
If the two roots of the equation, $(a-1)(x^4+x^2+1)+(a+1)(x^2+x+1)^2=0$ are real and distinct , then the set of all values of 'a' is :
jeemain
2015
maths
set f
asked
Oct 6, 2015
by
meena.p
1
answer
If z is a non-real complex number, then the minimum value of $ \large\frac{I_mz^5}{(I_mz)^5}$ is :
jeemain
2015
maths
set f
asked
Oct 6, 2015
by
meena.p
1
answer
Let $A=\{x_1,x_2....,x_7\}$ and $B= \{y_1,y_2,y_3\}$ be two sets contains seven and three distinct elements respectively. Then the total number of function $f:A \to B$ that are onto , if there exist exactly three elements x in A Such that $f(x)=y_2$ , is equal to :
jeemain
2015
maths
set f
asked
Oct 6, 2015
by
meena.p
1
answer
A pink coloured salt turns begin on heating . The presence of which cation is most likely ?
jeemain
2015
chemistry
set f
asked
Oct 6, 2015
by
meena.p
1
answer
Which artificial sweetener contains chlorine ?
jeemain
2015
chemistry
set f
asked
Oct 6, 2015
by
meena.p
1
answer
Accumulation of which of the following molecules in the muscles occurs as a result of vigorous exercise ?
jeemain
2015
chemistry
set f
asked
Oct 6, 2015
by
meena.p
1
answer
Which one of the following structure represents the neoprene ?
jeemain
2015
chemistry
set f
asked
Oct 6, 2015
by
meena.p
1
answer
Which compound exhibits maximum dipole moment among the following ?
jeemain
2015
chemistry
set f
asked
Oct 6, 2015
by
meena.p
1
answer
In the reaction sequence
jeemain
2015
chemistry
set f
asked
Oct 6, 2015
by
meena.p
1
answer
What is the major product expected from the following reaction ? Where $D$ is an isotope of Hydrogen ?
jeemain
2015
chemistry
set f
asked
Oct 6, 2015
by
meena.p
1
answer
The number of structural isomers for $C_6H_{14}$ is :
jeemain
2015
chemistry
set f
asked
Oct 6, 2015
by
meena.p
1
answer
Which of the following pairs of compounds are positional isomers ?
jeemain
2015
chemistry
set f
asked
Oct 6, 2015
by
meena.p
1
answer
Match the organic compounds in column -I with the Lassaigne's test results in column -II appropriately
jeemain
2015
chemistry
set f
asked
Oct 6, 2015
by
meena.p
1
answer
Addition of phosphate fertilizers to water bodies causes
jeemain
2015
chemistry
set f
asked
Oct 5, 2015
by
meena.p
1
answer
Which of the following complex ions has electrons that are symmetrically filled in both $t_{2g}$ and $e_{g}$ orbitals ?
jeemain
2015
chemistry
set f
asked
Oct 5, 2015
by
meena.p
1
answer
When concentrated $HCl$ is added to an aqueous solution of $CaCl_2$, its $coCl_2$ its colour changes from reddish pink to deep blue. Which complex ion gives blue in this reaction ?
jeemain
2015
chemistry
set f
asked
Oct 5, 2015
by
meena.p
1
answer
Which of the following statements is false ?
jeemain
2015
chemistry
set f
asked
Oct 5, 2015
by
meena.p
1
answer
Chlorine water on standing loses its color and forms ?
jeemain
2015
chemistry
set f
asked
Oct 5, 2015
by
meena.p
1
answer
Which of the following compounds has a P-P bond?
jeemain
2015
chemistry
set f
asked
Oct 5, 2015
by
meena.p
1
answer
Which of the alkaline earth metal halides given below is essentially covalent in nature ?
jeemain
2015
chemistry
set f
asked
Oct 5, 2015
by
meena.p
1
answer
Which physical property of dihydrogen is wrong ?
jeemain
2015
chemistry
set f
asked
Oct 5, 2015
by
meena.p
1
answer
Calamine is an ore of :
jeemain
2015
chemistry
set f
asked
Oct 5, 2015
by
meena.p
1
answer
Choose the incorrect formula out of the four compounds for an element X below:
jeemain
2015
chemistry
set f
asked
Oct 5, 2015
by
meena.p
1
answer
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