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Recent questions tagged easy

Find the value of $\lambda$ for which the set of equations $x+y-2z=0$, $2x-3y+z=0$, $x-5y+4z=\lambda$ are consistent.

asked Nov 19, 2013 by sreemathi.v

1 answer

For what value of $k$ do the following homogeneous system of equations posses a non-trivial.$x+ky+3z=0,3x+ky-2z=0,2x+3y-4z=0$

asked Nov 19, 2013 by sreemathi.v

1 answer

Evaluate :$\begin{vmatrix}y+z&z&y\\z&z+x&x\\y&x&x+y\end{vmatrix}$

asked Nov 19, 2013 by sreemathi.v

1 answer

Find the 10th term of the AP -3, -1, 1, 3, ....

asked Nov 19, 2013 by harini.tutor

1 answer

Evaluate : $\begin{vmatrix}0 &a-b&b-c\\b-a&0&b-c\\c-a&c-b&0\end{vmatrix}$

asked Nov 19, 2013 by sreemathi.v

1 answer

Evaluate :$\begin{vmatrix}1&\omega&\omega^2\\\omega&\omega^2&1\\\omega^2&1&\omega\end{vmatrix}$

($\omega$: Cube root of unity)

asked Nov 19, 2013 by sreemathi.v

1 answer

Evaluate :$\begin{vmatrix}3 &2& 12\\0 &1&8\\2&9&7\end{vmatrix}$

asked Nov 19, 2013 by sreemathi.v

1 answer

Find the sum of the following series : $ 1^{2} + 2^{2} + 3^{2} + 4^{2} + .... + 20^{2}$

asked Nov 19, 2013 by harini.tutor

1 answer

The value of $[\overrightarrow a-\overrightarrow b\:\:\overrightarrow b-\overrightarrow c\:\:\overrightarrow c-\overrightarrow a]$ where $|\overrightarrow a|=1,\:\:|\overrightarrow b|=5\:\:|\overrightarrow c|=3$ is ?

asked Nov 18, 2013 by rvidyagovindarajan_1

1 answer

The solution of the equation $[\sin x+\cos x]^{1+\sin 2x}=2,-\pi\leq x\leq \pi$ is

asked Nov 15, 2013 by sreemathi.v

1 answer

If $\sec\theta=m$ and $\tan\theta=n$ then $\large\frac{1}{m}$$\big[(m+n)+\large\frac{1}{(m+n)}\big]$

asked Nov 15, 2013 by sreemathi.v

1 answer

In a $\Delta ABC$ if $b=2,B=30^{\large\circ}$ then the area of the circumcircle of $\Delta$ ABC in square unit is

asked Nov 15, 2013 by sreemathi.v

1 answer

In a $\Delta$ABC if the sides are $a=3,b=5,c=4$ then $\sin\large\frac{B}{2}$$+\cos{\large\frac{B}{2}}$ is equal to

asked Nov 15, 2013 by sreemathi.v

1 answer

The sides of a $\Delta$le are respectively 7cm,$4\sqrt 3$cm and $\sqrt{13}$cm then the smallest angle of the triangle is

asked Nov 15, 2013 by sreemathi.v

1 answer

Solve for $x$: $\tan^{-1}x+2\cot^{-1}x=\large\frac{2\pi}{3}$.

asked Nov 15, 2013 by sreemathi.v

1 answer

If $-\large\frac{x}{2}$$<\sin^{-1}x<\large\frac{x}{2}$ then $\tan(\sin^{-1}x)$ is equal to

asked Nov 15, 2013 by sreemathi.v

1 answer

If $\tan^{-1}\big(\large\frac{a}{x}\big)$$+\tan^{-1}\big(\large\frac{b}{x}\big)=\frac{\pi}{2}$ then $x$ is equal to

asked Nov 15, 2013 by sreemathi.v

1 answer

If $\tan^{-1}\large\frac{1}{a-1}$$=\tan^{-1}x+\tan^{-1}(x+1)=\tan^{-1}3x$ is

asked Nov 15, 2013 by sreemathi.v

1 answer

If in any $\Delta ABC$ $A=30^{\large \circ}$ and $B=60^{\large\circ}$ then find $a: b:c$

asked Nov 15, 2013 by sreemathi.v

1 answer

Which of the following expression acquires constant value at equilibrium for the process shown below?

asked Nov 13, 2013 by mosymeow_1

1 answer

Why does the solubilities of anhydrous salts decrease with increase in temperature?

asked Nov 13, 2013 by mosymeow_1

1 answer

Which of the following can exist beyond critical temperature and critical pressure?

asked Nov 13, 2013 by mosymeow_1

1 answer

What happens to a solid whose vapour pressure reaches 760 mm Hg at temperatures which are lower than the triple point?

asked Nov 13, 2013 by mosymeow_1

1 answer

At the boiling point of a liquid its ________ becomes equal to the atmospheric pressure.

asked Nov 13, 2013 by mosymeow_1

1 answer

As melting of ice is an _ process, supplying heat to the system shifts the equilibrium in the direction and viceversa.

asked Nov 13, 2013 by mosymeow_1

1 answer

If $a,b,c$ are non negative and distinct numbers and vectors $a\hat i+a\hat j+c\hat k,\:\:\hat i+\hat k\:\:and\:\:c\hat i+c\hat j+b\hat k$ lie in a plane then c is ?

asked Nov 11, 2013 by rvidyagovindarajan_1

1 answer

If $\overrightarrow a, \:\overrightarrow b,\: \overrightarrow c$ are position vectors of the points $A,B,C$ respectively, then under what condition the three points $A,B,C$ are collinear?

asked Nov 10, 2013 by rvidyagovindarajan_1

1 answer

If $|\overrightarrow a|=3,\:|\overrightarrow b|=\large\frac{\sqrt 2}{3}$, then $\overrightarrow a\times\overrightarrow b$ is a unit vector if the angle between $\overrightarrow a$ and $\overrightarrow b$ is ?

asked Nov 8, 2013 by rvidyagovindarajan_1

1 answer

The number of distinct real values of $\lambda$ for which the vectors $-\lambda^2\hat i+\hat j+\hat k,\:\hat i-\lambda^2\hat j+\hat k\:and\:\hat i+\hat k-\lambda^2 \hat k$ are coplanar is?

asked Nov 8, 2013 by rvidyagovindarajan_1

1 answer

If $\overrightarrow a=\hat i-\hat j+2\hat k, \:\:\overrightarrow b=2\hat i+4\hat j+\hat k\:\:and\:\:\overrightarrow c=\lambda \hat i+\hat j+\mu k$ are mutually $\perp$ then $(\lambda,\mu)=?$

asked Nov 5, 2013 by rvidyagovindarajan_1

1 answer

The vector $\hat i+x\hat j+3\hat k$ is rotated about angle $\theta$ and is doubled in magnitude, then it becomes $4\hat i+(4x-2)\hat j+2\hat k$. The value of $x=?$

asked Nov 4, 2013 by rvidyagovindarajan_1

1 answer

If $\overrightarrow a=\hat i-\hat k,\:\overrightarrow b=x\hat i+\hat j+(1-x)\hat k\:and\:\overrightarrow c=y\hat i+x\hat j+(1+x-y)\hat k$, then $[\overrightarrow a\:\overrightarrow b\:\overrightarrow c]$ depends on?

asked Nov 4, 2013 by rvidyagovindarajan_1

1 answer

If $\overrightarrow a=\hat i-\hat k,\:\overrightarrow b=x\hat i+\hat j+(1-x)\hat k\:and\:\overrightarrow c=y\hat i+x\hat j+(1+x-y)\hat k$, then $[\overrightarrow a\:\overrightarrow b\:\overrightarrow c]$ depends on?

asked Nov 4, 2013 by rvidyagovindarajan_1

1 answer

The angle between the diagonals of a parallelogram $ABCD$, where $\overrightarrow {AB}=3\hat i-2\hat j+2\hat k$ and $\overrightarrow {BC}=-\hat i-2\hat k$ is?

asked Nov 1, 2013 by rvidyagovindarajan_1

1 answer

What volume of 0.20M $H_2SO_4$ is required to produce 34.0g of $H_2S$ by the reaction: $8KI+5H_2SO_4\rightarrow 4K_2SO_4+4I_2+H_2S+4H_2O$

asked Oct 31, 2013 by sreemathi.v

1 answer

20ml of 0.2M $Al_2(SO_4)_3$ is mixed with 20ml of 0.6M $BaCl_2$.Calculate the concentration of each ion in solution.

asked Oct 31, 2013 by sreemathi.v

1 answer

What volume of a solution of hydrochloric acid containing 73g of acid per litre would sufficient for the exact neutralization of sodium hydroxide obtained by allowing 0.46g of metallic sodium to act upon water ?

asked Oct 31, 2013 by sreemathi.v

1 answer

What volume of water is required to make 0.2N solution from 1600ml of 0.205N solution ?

asked Oct 31, 2013 by sreemathi.v

1 answer

The formula weight of an acid is 82.0.$100cm^3$ of a solution of this acid containing 39.0g of the acid per litre were completely neutralized by $95.0cm^3$ of aqueous NaOH containing 40.0g of NaOH per litre.What is the basicity of the acid?

asked Oct 31, 2013 by sreemathi.v

1 answer

Calculate the normality of the resulting solution made by adding 2drops(0.1ml) of 0.1N $H_2SO_4$ in 1litre of distilled water.

asked Oct 31, 2013 by sreemathi.v

1 answer

What is the strength in g per litre of a solution $H_2SO_4$,12ml of which neutralized 15ml of W/10 of NaOH solution?

asked Oct 31, 2013 by sreemathi.v

1 answer

How many milliliter of 0.5M $H_2SO_4$ are needed to dissolve 0.5g of copper II carbonate?

asked Oct 31, 2013 by sreemathi.v

1 answer

Calculate the weight of iron which will be converted into its oxide by the action of 18g of steam

asked Oct 31, 2013 by sreemathi.v

1 answer

If $|\overrightarrow a|=2,\:|\overrightarrow b|=3\:and\:|\overrightarrow c|=4$ and $\overrightarrow a+\overrightarrow b+\overrightarrow c=\overrightarrow O$, then $\overrightarrow b.\overrightarrow c+\overrightarrow c.\overrightarrow a+\overrightarrow a.\overrightarrow b=?$

asked Oct 30, 2013 by rvidyagovindarajan_1

1 answer

If $\overrightarrow a,\:\overrightarrow b\:and\:\overrightarrow c$ are mutually $\perp$ vectors of equal magnitude then the angle $\theta$ made by $\overrightarrow a+\overrightarrow b+\overrightarrow c$with any one of these 3 vectors is ?

asked Oct 30, 2013 by rvidyagovindarajan_1

1 answer

The sides of a parallelogram are given by vectors $2\hat i+4\hat j-5\hat k$ and $\hat i+2\hat j+3\hat k$. Unit vector along one of the diagonals is given by ?

asked Oct 30, 2013 by rvidyagovindarajan_1

1 answer

$Mg(OH)_2$ in the form of milk of magnesia is used to neutralize excess stomach acid .How many moles of stomach acid can be neutralized by 1g of $Mg(OH)_2$? (Molar mass of $Mg(OH)_2=58.33)$

asked Oct 30, 2013 by sreemathi.v

1 answer

Calculate number of oxalic acid molecules in 100ml of 0.02N oxalic acid

asked Oct 30, 2013 by sreemathi.v

1 answer

A plant virus is found to consist of uniform cylindrical particles of 150A in diameter and 5000A long.The specific volume of the virus is $0.75cm^3/g$.If the virus is considered to be a single particle and its molecular weight

asked Oct 30, 2013 by sreemathi.v

1 answer

Find the number of g-molecules of oxygen in $6.023\times 10^{24}$ CO molecules

asked Oct 30, 2013 by sreemathi.v

1 answer

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