Recent questions tagged set f

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 :

asked Oct 8, 2015 by meena.p

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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 :

asked Oct 8, 2015 by meena.p

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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 :

asked Oct 8, 2015 by meena.p

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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 :

asked Oct 8, 2015 by meena.p

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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 :

asked Oct 8, 2015 by meena.p

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In a parallelogram $ABCD, |\overrightarrow{AB}|=a;|\overrightarrow{AD}|=b $ and $|\overrightarrow{AC}|=c$, then $\overrightarrow{DB}.\overrightarrow{AB}$ has the value :

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 :

asked Oct 8, 2015 by meena.p

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The shortest distance between the z- axis and the line $x+y+2z-3=0=2x+3y+4z-4$ is

asked Oct 8, 2015 by meena.p

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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 :

asked Oct 8, 2015 by meena.p

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If the distance between the foci of an ellipse is half the length of its latus recturn , then the eccentricity of the ellipse is :

asked Oct 8, 2015 by meena.p

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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 :

asked Oct 8, 2015 by meena.p

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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 :

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 :

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

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

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

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 :

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 :

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 :

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

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

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 :

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 :

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

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 :

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 :

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 :

asked Oct 6, 2015 by meena.p

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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 :

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 :

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 :

asked Oct 6, 2015 by meena.p

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A pink coloured salt turns begin on heating . The presence of which cation is most likely ?

asked Oct 6, 2015 by meena.p

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Which artificial sweetener contains chlorine ?

asked Oct 6, 2015 by meena.p

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Accumulation of which of the following molecules in the muscles occurs as a result of vigorous exercise ?

asked Oct 6, 2015 by meena.p

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Which one of the following structure represents the neoprene ?

asked Oct 6, 2015 by meena.p

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Which compound exhibits maximum dipole moment among the following ?

asked Oct 6, 2015 by meena.p

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In the reaction sequence

asked Oct 6, 2015 by meena.p

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What is the major product expected from the following reaction ? Where $D$ is an isotope of Hydrogen ?

asked Oct 6, 2015 by meena.p

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The number of structural isomers for $C_6H_{14}$ is :

asked Oct 6, 2015 by meena.p

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Which of the following pairs of compounds are positional isomers ?

asked Oct 6, 2015 by meena.p

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Match the organic compounds in column -I with the Lassaigne's test results in column -II appropriately

asked Oct 6, 2015 by meena.p

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Addition of phosphate fertilizers to water bodies causes

asked Oct 5, 2015 by meena.p

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Which of the following complex ions has electrons that are symmetrically filled in both $t_{2g}$ and $e_{g}$ orbitals ?

asked Oct 5, 2015 by meena.p

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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 ?

asked Oct 5, 2015 by meena.p

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Which of the following statements is false ?

asked Oct 5, 2015 by meena.p

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Chlorine water on standing loses its color and forms ?

asked Oct 5, 2015 by meena.p

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Which of the following compounds has a P-P bond?

asked Oct 5, 2015 by meena.p

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Which of the alkaline earth metal halides given below is essentially covalent in nature ?

asked Oct 5, 2015 by meena.p

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Which physical property of dihydrogen is wrong ?

asked Oct 5, 2015 by meena.p

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Calamine is an ore of :

asked Oct 5, 2015 by meena.p

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Choose the incorrect formula out of the four compounds for an element X below:

asked Oct 5, 2015 by meena.p

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