Recent questions tagged fitb

For the curve $\sqrt x + \sqrt y=1,\large \frac{dy}{dx}$ at $\bigg(\large\frac{1}{4},\frac{1}{4}\bigg)$ is ____________.

asked Mar 26, 2014 by balaji.thirumalai

1 answer

$\int \large\frac{3 \cos x +2 \sin x}{4 \sin x+ 5 \cos x}$$dx$=.............. .

asked Sep 13, 2013 by meena.p

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Given $x$ is positive, the values of $f(x)=-3 \cos \sqrt {3+x+x^2}$ lie in the interval .............. .

asked Sep 13, 2013 by meena.p

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If $u=\log \tan \bigg(\large\frac{\pi}{4}+\frac{\theta}{2}\bigg), $ then $cos\; u$=............... .

asked Sep 13, 2013 by meena.p

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Two die thrown simultaneously. The probability of getting even numbers on both the die is ...............

asked Sep 13, 2013 by meena.p

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The greatest negative integer satisfying $x^2-4x-77=0$ and $x^2 >4$ is ................... .

asked Sep 13, 2013 by meena.p

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The condition for $ax^2+2cxy+by^2+2bx+2ay+c$ is resolvable into two linear factors, is ................

asked Sep 13, 2013 by meena.p

1 answer

$\lim \limits _{x \to 0} \large\frac{x-\sin x}{x+ \cos ^2 x}$=............... .

asked Sep 13, 2013 by meena.p

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In $\Delta ABC,a= \sqrt 3+1, \angle B=30^{\circ},\; \angle C=45^{\circ};$ then $c=$................ .

asked Sep 13, 2013 by meena.p

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The locus of the point of intersection of the perpendicular tangents to the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$ is ................

asked Sep 13, 2013 by meena.p

1 answer

If $C_0,C_1,C_2,$................... are the binomial coefficient in the expansion of $(1+x)^n$, then $C_0+\large\frac{C_1}{2}$$x+\large\frac{C_2}{3}$$x^2+........+ \large\frac{C_n}{n+1}$$x^n$= ...................

asked Sep 13, 2013 by meena.p

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The vector equation to the plane through the points $(1,-2,-3)$ and parallel to the vectors $(2,3,-6)$ is .............. .

asked Sep 13, 2013 by meena.p

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$^{14}C_4+ \sum \limits_ {j=1}^4\; ^{18-j}C_3$=................ .

asked Sep 13, 2013 by meena.p

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The locus of the middle points of chord of the circle $x^2+y^2-2x=0$ passing through the orgin is ................. .

asked Sep 13, 2013 by meena.p

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If $\overrightarrow {a}, \overrightarrow {b}, \overrightarrow {c}$ are mutually perpendicular unit vectors, then $ |\overrightarrow {a}+ \overrightarrow {b}+ \overrightarrow {c}|$=.................. .

asked Sep 13, 2013 by meena.p

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The maximum value of $\large\frac{\log x}{x}$ in $0 < x < \infty $ is .................. .

asked Sep 13, 2013 by meena.p

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The length of portion of tangent at any point on the curve $x^{\Large\frac{2}{3}}$$+y^{\Large\frac{2}{3}}$$=a^{\Large\frac{2}{3}}$ intercepted between the axes is ................ .

asked Sep 13, 2013 by meena.p

0 answers

The remainder obtained when the polynomial $1+x+x^3+x^9+x^{27}+x^{81}+x^{243}$ is divided by $x-1$, is .................. .

asked Sep 13, 2013 by meena.p

1 answer

The orthocentre of triangle whose sides are $2y-x=9,x+y=9,2x-y=9$ is .............

asked Sep 13, 2013 by meena.p

0 answers

$\int \limits_1^3 \large\frac{dx}{2x-1},$ using simpson's rule with 4 equal intervals, The approximate value of $\int \limits_1^3 \large\frac{dx}{2x-1}$=.................. .

asked Sep 13, 2013 by meena.p

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When 2 balls are drawn from bag containing 2 white,4 red and 6 black balls, the chance for both of them to be red is ............... .

asked Sep 13, 2013 by meena.p

1 answer

Equation to the common tangent to the circle $x^2+y^2=2a^2$ and the parabola $y^2=8ax$ is ................ .

asked Sep 13, 2013 by meena.p

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$\sum \limits_{n=0}^{\infty} (-1)^n x^{n+1}$=............

asked Sep 13, 2013 by meena.p

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$(i)^{243}$=.................. .

asked Sep 13, 2013 by meena.p

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$2 \begin {bmatrix} 1 & 1 & 1 \\ a & b & c \\ a^2-bc & b^2-ca & c^2-ab \end {bmatrix}$= ................. .

asked Sep 13, 2013 by meena.p

0 answers

$x= \cos \theta+ \theta \sin \theta, y=\sin \theta-\theta \cos \theta,$ then $\large\frac{d^2y}{dx^2}$ = ................... .

asked Sep 13, 2013 by meena.p

0 answers

If $u= \large\frac{x+y}{x-y},$ then $\large\frac{\partial u}{\partial x}+\frac{\partial u}{\partial y}$ = .................. .

asked Sep 13, 2013 by meena.p

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$\sqrt { \sqrt 3-\sqrt {4+\sqrt 5+\sqrt {17-4 \sqrt {15}}}}$= ..................... .

asked Sep 13, 2013 by meena.p

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The area between the curve $y=1-|x| $ and the x-axis is ............... .

asked Sep 13, 2013 by meena.p

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When two dies are thrown. The probability of getting equal number is ................... .

asked Sep 13, 2013 by meena.p

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If the relation between sub-normal and sub-tangent at any point on the curve $by^2=(x+a)^3$ is $p(SN)=q(ST)^2,$ then $\large\frac{p}{q}$=..................... .

asked Sep 13, 2013 by meena.p

0 answers

Nucleides having different mass number and different atomic number, but the same number of neutrons are called ...................... .

asked Sep 12, 2013 by meena.p

1 answer

The coordinating number of the ions in the CsCI crystal lattice is ................. .

asked Sep 12, 2013 by meena.p

0 answers

A few drops of an organic compound (liquid) are added to schiff's reagent. A pink colour is produced. The organic compound is ................. .

asked Sep 12, 2013 by meena.p

1 answer

$0.1\;M\;HCL$ solution is diluted by $100\;times$. The pH of the solution so formed is .............. .

asked Sep 12, 2013 by meena.p

0 answers

The kinetic energy of 8g of $H_2$ at $27^{\circ}C$ is ................. times more than the kinetic energy of $8g$ of $O_2$ at the same temperature.

asked Sep 12, 2013 by meena.p

0 answers

The weight of oxalic acid crystals $H_2C_2O_2.2H_2O$ required to prepare $500\;mL$ of $0.2\;N$ solution is ................... .

asked Sep 12, 2013 by meena.p

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Aqueous solution of $FeCl_3$ is acidic because of .............. .

asked Sep 12, 2013 by meena.p

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The half life of a radioactive substance is $100$ sec. It's disintegration constant is ..................... .

asked Sep 12, 2013 by meena.p

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In the reaction $^{19}_8 O+_1H^2 \to ^{18}_8O+X,X$ is ................... .

asked Sep 12, 2013 by meena.p

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The reaction between .............. Baeyer reagent gives ethylene glycol.

asked Sep 12, 2013 by meena.p

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Water has a higher boiling point than corresponding hydrides $H_2S,H_2Se$ and $H_2Te$. This is because of ............. in water.

asked Sep 12, 2013 by meena.p

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The normal boiling point of, $CS_2,H_2O$ and $CCl_4$ are $41.3^{\circ}C,100^{\circ}C$ and $77^{\circ}C$ respectively. The liquid in which the inter molecular forces are the weakest is ................ .

asked Sep 12, 2013 by meena.p

0 answers

The magnetic quantum number $m$ for the outermost electron in the Na atom is .............. .

asked Sep 12, 2013 by meena.p

2 answers

Besides $SiO_2$ and $Al_2O_3$ the other major ingradient in portland cement is ................. .

asked Sep 12, 2013 by meena.p

0 answers

Refer the below equation:

asked Sep 12, 2013 by meena.p

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The number of $\sigma $ bonds in the ethylene molecule is ............... .

asked Sep 12, 2013 by meena.p

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The mass number of a nuclide is 125. Its nuclear radius is .................. fermi.

asked Sep 12, 2013 by meena.p

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The maximum number of electron that can be accommodated in all the orbitals for which $l=3$, is .............. .

asked Sep 12, 2013 by meena.p

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Reduction of acetaldehyde in presence of $LiAlH_4$ gives ...............

asked Sep 12, 2013 by meena.p

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