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JEEMAIN and NEET
JEEMAIN and NEET
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The number of solutions of the pair of equations $2\sin^2\theta-\cos 2\theta=0$ and $\cos^2\theta-3\sin\theta=0$ in the interval $[0,2\pi]$ is
jeemain
math
class11
ch3
trigonometric-functions
q51
trignometric-equations
medium
asked
Nov 15, 2013
by
sreemathi.v
1
answer
For the following gaseous equilibria X, Y and Z at 300 K. $X: 2SO_2 + O_2 \rightleftharpoons 2SO_3$ $Y: PCl_5 \rightleftharpoons PCl_3 + Cl_2$ $Z: 2HI \rightleftharpoons H_2 + I_2$ ratio of $K_p$ and $K_c$ in the increasing order is:
jeemain
aipmt
chemistry
equilibrium
difficult
q18
biology
asked
Nov 15, 2013
by
mosymeow_1
1
answer
The equilibrium constant $K_c$ for the reaction of $H_2$ with $I_2$ is 57.0 at 700 K $ H_2(g) + I_2(g) \rightleftharpoons 2HI $; $K_c$ = 57 at 700K. select correct statement:
jeemain
aipmt
chemistry
equilibrium
medium
q17
biology
asked
Nov 15, 2013
by
mosymeow_1
1
answer
If $x\sin^3\theta+y\cos^3\theta=\sin\theta\cos\theta$ and $x\sin\theta=y\cos\theta$ then $x^2+y^2$ is
jeemain
math
class11
ch3
trigonometric-functions
q50
trignometric-equations
medium
asked
Nov 15, 2013
by
sreemathi.v
1
answer
The solution of the equation $[\sin x+\cos x]^{1+\sin 2x}=2,-\pi\leq x\leq \pi$ is
jeemain
math
class11
ch3
trigonometric-functions
trignometric-identities
q100
easy
asked
Nov 15, 2013
by
sreemathi.v
1
answer
If $\sec\theta=m$ and $\tan\theta=n$ then $\large\frac{1}{m}$$\big[(m+n)+\large\frac{1}{(m+n)}\big]$
jeemain
math
class11
ch3
trigonometric-functions
q99
basic-trigonometric-functions
easy
asked
Nov 15, 2013
by
sreemathi.v
1
answer
In a $\Delta ABC$ if $b=2,B=30^{\large\circ}$ then the area of the circumcircle of $\Delta$ ABC in square unit is
jeemain
math
class11
ch3
trigonometric-function
q98
angles
easy
asked
Nov 15, 2013
by
sreemathi.v
1
answer
In a $\Delta$ABC if the sides are $a=3,b=5,c=4$ then $\sin\large\frac{B}{2}$$+\cos{\large\frac{B}{2}}$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q97
angles
easy
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
jeemain
math
class11
ch3
trigonometric-functions
q96
angles
easy
asked
Nov 15, 2013
by
sreemathi.v
1
answer
What is the Equilibrium constant for the formation of one mole of gaseous $HI$ from the $H_2(g)$ and $I_2(g)$?
jeemain
aipmt
chemistry
equilibrium
difficult
q16
biology
asked
Nov 15, 2013
by
mosymeow_1
1
answer
Solve for $x$: $\tan^{-1}x+2\cot^{-1}x=\large\frac{2\pi}{3}$.
jeemain
math
class12
ch2
inverse-trigonometric-functions
q95
inverse-trignometric-properties
easy
mock
asked
Nov 15, 2013
by
sreemathi.v
1
answer
If $-\large\frac{x}{2}$$<\sin^{-1}x<\large\frac{x}{2}$ then $\tan(\sin^{-1}x)$ is equal to
jeemain
math
class12
ch2
inverse-trigonometric-functions
q94
inverse-trignometric-properties
easy
asked
Nov 15, 2013
by
sreemathi.v
1
answer
If $\tan^{-1}\big(\large\frac{a}{x}\big)$$+\tan^{-1}\big(\large\frac{b}{x}\big)=\frac{\pi}{2}$ then $x$ is equal to
jeemain
math
class12
ch2
inverse-trigonometric-functions
q93
inverse-trignometric-properties
easy
asked
Nov 15, 2013
by
sreemathi.v
1
answer
What are the units of Equilibrium equations $K_p$ and $K_c$ when $\Delta n_g < 0$ respectively ?
sat
chemistry
chemical-equilibrium
jeemain
aipmt
medium
q15
equilibrium
biology
asked
Nov 15, 2013
by
mosymeow_1
1
answer
what would be the expression in place of ? in the Van't Hoff equation: $ log \frac{K_2}{K_1} = \frac {\Delta H^\circ}{2.303R} [?]$
jeemain
chemistry
difficult
q14
equilibrium
aipmt
biology
asked
Nov 15, 2013
by
mosymeow_1
1
answer
If $\tan^{-1}\large\frac{1}{a-1}$$=\tan^{-1}x+\tan^{-1}(x+1)=\tan^{-1}3x$ is
jeemain
math
class12
ch2
inverse-trigonometric-functions
q92
inverse-trignometric-properties
easy
asked
Nov 15, 2013
by
sreemathi.v
1
answer
Which of the following is incorrect about relationship between $K_p$ and $K_c$?
jeemain
equilibrium
chemistry
medium
aipmt
q13
biology
asked
Nov 15, 2013
by
mosymeow_1
1
answer
If in any $\Delta ABC$ $A=30^{\large \circ}$ and $B=60^{\large\circ}$ then find $a: b:c$
jeemain
math
class11
ch3
trigonometric-functions
q91
angles
easy
asked
Nov 15, 2013
by
sreemathi.v
1
answer
Which of the following dashed line represents the position at equilibrium for the concentration-time plot of a reaction??
jeemain
chemistry
equilibrium
aipmt
q12
medium
biology
asked
Nov 15, 2013
by
mosymeow_1
2
answers
For the reaction $ 2A(g) + B(g) \rightleftharpoons 3C(g) + 4D(g)$ Three moles each of $A$ and $B$ were taken into a $1\; L$ flask. which of the following is always true when the system attains equilibrium?
jeemain
chemistry
medium
aipmt
q10
equilibrium
biology
asked
Nov 13, 2013
by
mosymeow_1
1
answer
The equilibrium constant for the reaction $ A + 2B \rightleftharpoons 2C $ is 40. The Equilibrium constant for the reaction $ C \rightleftharpoons B + 1/2 A$ is
jeemain
aipmt
medium
chemistry
equilibrium
q9
biology
asked
Nov 13, 2013
by
mosymeow_1
1
answer
The equilibrium constant for the reaction $CaSO_4.5H_2O (s) \rightleftharpoons CaSO_4.3H_2O (s) + 2H_2O (g)$ is equal to
jeemain
chemistry
aipmt
equilibrium
medium
q11
biology
asked
Nov 13, 2013
by
mosymeow_1
1
answer
The equilibrium constant for a reaction; $ A+B \rightleftharpoons C+D $ is $ 1 \times 10^{-2} $ at 298 K is 2 at 373 K. The chemical process resulting in the formation of C and D is
jeemain
chemistry
q8
aipmt
equilibrium
medium
biology
asked
Nov 13, 2013
by
mosymeow_1
1
answer
If $\overrightarrow {OA}=\hat i+3\hat j-2\hat k\:\:and\:\:\overrightarrow {OB}=3\hat i+\hat j-2\hat k$ and $\overrightarrow {OC} $ is angular bisector of angle $AOB$ with $C$ being the point on the line $AB$, then $\overrightarrow {OC}=?$
jeemain
math
class12
ch10
vector-algebra
medium
addition-of-vectors
q42
asked
Nov 13, 2013
by
rvidyagovindarajan_1
1
answer
If $a,b,c$ are lengths of sides of a $\Delta\:ABC$ and for any non collinear vectors $\overrightarrow u\:\:and\:\:\overrightarrow v$ if $(a-b)\overrightarrow u+(b-c)\overrightarrow v+(c-a)(\overrightarrow u\times\overrightarrow v)=0$, then the $\Delta$ is ?
jeemain
math
class12
ch10
vector-algebra
medium
vector-product
q41
asked
Nov 13, 2013
by
rvidyagovindarajan_1
1
answer
Specify the unit of Equlibrium Constant of the following reaction. $ Fe^{3+} (aq) + SCN^- (aq) \rightleftharpoons Fe(SCN)^{2+} (aq) $
sat
chemistry
chemical-equilibrium
jeemain
medium
aipmt
equilibrium
q7
biology
asked
Nov 13, 2013
by
mosymeow_1
1
answer
Why does the solubilities of anhydrous salts decrease with increase in temperature?
jeemain
aipmt
chemistry
q5
equilibrium
easy
biology
asked
Nov 13, 2013
by
mosymeow_1
1
answer
Which of the following can exist beyond critical temperature and critical pressure?
jeemain
chemistry
q4
aipmt
equilibrium
easy
biology
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?
jeemain
chemistry
q3
equilibrium
easy
aipmt
biology
asked
Nov 13, 2013
by
mosymeow_1
1
answer
At the boiling point of a liquid its ________ becomes equal to the atmospheric pressure.
sat
chemistry
chemical-equilibrium
jeemain
aipmt
q2
equilibrium
easy
biology
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.
jeemain
aipmt
q1
chemistry
equilibrium
easy
biology
asked
Nov 13, 2013
by
mosymeow_1
1
answer
If $\overrightarrow a=\hat i+\hat j+\hat k\:\:\overrightarrow b=4\hat i+3\hat j+4\hat k\:\:and\:\:\overrightarrow c=\hat i+\alpha\hat j+\beta\hat k$ are linear dependent vectors and $|\overrightarrow c|=\sqrt 3$ then $ (\alpha,\beta)=?$
jeemain
math
class12
ch10
vector-algebra
medium
vector-product
q40
asked
Nov 12, 2013
by
rvidyagovindarajan_1
1
answer
The value of $a$ for which the volume of the parallelopiped formed by vectors $\hat i+a\hat j+\hat k,\:\:\hat j+a\hat k\:\:and\:\: a\hat i+\hat k$ becomes minimum is ?
jeemain
math
class12
ch10
vector-algebra
difficult
vector-product
q39
asked
Nov 12, 2013
by
rvidyagovindarajan_1
1
answer
If $ \overrightarrow x=\large\frac{\overrightarrow b\times\overrightarrow c}{[\overrightarrow a\:\overrightarrow b\:\overrightarrow c]},\:\:\overrightarrow y=\large\frac{\overrightarrow c\times\overrightarrow a}{[\overrightarrow a\:\overrightarrow b\:\overrightarrow c]},\:\:and\:\:\overrightarrow z=\large\frac{\overrightarrow a\times\overrightarrow b}{[\overrightarrow a\:\overrightarrow b\:\overrightarrow c]},$ then $\overrightarrow x.(\overrightarrow a+\overrightarrow b)+\overrightarrow y.(\overrightarrow b+\overrightarrow c)+\overrightarrow z.(\overrightarrow c+\overrightarrow a)=?$
jeemain
math
class12
ch10
vector-algebra
medium
vector-product
q38
asked
Nov 12, 2013
by
rvidyagovindarajan_1
1
answer
For non zero vectors $\overrightarrow a,\overrightarrow b\:and\:\overrightarrow c,\:\:if\:\:|(\overrightarrow a\times\overrightarrow b).\overrightarrow c|=|\overrightarrow a||\overrightarrow b||\overrightarrow c|$ then ?
jeemain
math
class12
ch10
vector-algebra
medium
vector-product
q37
asked
Nov 11, 2013
by
rvidyagovindarajan_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 ?
jeemain
math
class12
ch10
vector-algebra
easy
vector-product
q36
asked
Nov 11, 2013
by
rvidyagovindarajan_1
1
answer
If $\overrightarrow a=\hat i+\hat j+\hat k,\:\:\overrightarrow a.\overrightarrow b=1$ and $\overrightarrow a\times\overrightarrow b=\hat j-\hat k,$ then $\overrightarrow b=?$
jeemain
math
class12
ch10
vector-algebra
medium
vector-product
q35
asked
Nov 10, 2013
by
rvidyagovindarajan_1
1
answer
If $\overrightarrow a,\overrightarrow b\:\:and\:\:\overrightarrow c$ are non coplanar vectors, then for real $\lambda$, $[\lambda(\overrightarrow a+\overrightarrow b)\:\lambda^2\overrightarrow b\:\lambda\overrightarrow c]=[\overrightarrow a\:\overrightarrow b+\overrightarrow c\:\overrightarrow c]$, for:
jeemain
math
class12
ch10
vector-algebra
medium
scalar-product
q34
asked
Nov 10, 2013
by
rvidyagovindarajan_1
1
answer
For any vector $\overrightarrow a$ the value of $(\overrightarrow a\times \hat i)^2+(\overrightarrow a\times \hat j)^2+(\overrightarrow a\times \hat i)^2=?$
jeemain
math
class12
ch10
vector-algebra
medium
vector-product
q33
asked
Nov 10, 2013
by
rvidyagovindarajan_1
1
answer
If $\overrightarrow a=\hat i+2\hat j+\hat k,\:\overrightarrow b=\hat i-\hat j+\hat k$ and $\overrightarrow c=\hat i+\hat j-\hat k$ and a vector $\overrightarrow d$ which is in the plane of $\overrightarrow a\:and\:\overrightarrow b$ and whose projection on $\overrightarrow c$ is $\large\frac{1}{\sqrt 3}, $ then $\overrightarrow d=?$
jeemain
math
class12
ch10
vector-algebra
medium
vector-product
q32
asked
Nov 10, 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?
jeemain
math
class12
ch10
vector-algebra
easy
vector-product
q31
asked
Nov 10, 2013
by
rvidyagovindarajan_1
1
answer
If $\overrightarrow a,\overrightarrow b\:and\:\overrightarrow c$ are non zero vectors that are pair wise non-collinear and if $\overrightarrow a+3\overrightarrow b$ is collinear with $ \overrightarrow c$ and $\overrightarrow b+2\overrightarrow c $ is collinear with $\overrightarrow a$, then $\overrightarrow a+3\overrightarrow b+6\overrightarrow c=?$
jeemain
math
class12
ch10
vector-algebra
medium
addition-of-vectors
q30
asked
Nov 9, 2013
by
rvidyagovindarajan_1
1
answer
If $|\overrightarrow a+\overrightarrow b|=\sqrt {29}$ and $\overrightarrow a\times (2\hat i+3\hat j+4\hat k)=(2\hat i+3\hat j+4\hat k)\times \overrightarrow b,$ then $(\overrightarrow a+\overrightarrow b).(-7\hat i+2\hat j+3\hat k)=?$
jeemain
math
class12
ch10
vector-algebra
medium
addition-of-vectors
q30
asked
Nov 9, 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 ?
jeemain
math
class12
ch10
vector-algebra
easy
addition-of-vectors
q29
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?
jeemain
math
class12
ch10
vector-algebra
easy
addition-of-vectors
q28
asked
Nov 8, 2013
by
rvidyagovindarajan_1
1
answer
If $\overrightarrow {OA}=\overrightarrow a,\:\overrightarrow {AB}=6\overrightarrow a+2\overrightarrow b\:and\:\overrightarrow {OC}=\overrightarrow b$, $p$ is area of quadrateral $OACB$ and $q$ is area of parallelogram with $OA$ and $OC$ as adjacent sides, and if $p=x.q$, then $x=?$
jeemain
math
class12
ch10
vector-algebra
difficult
vector-product
q27
asked
Nov 8, 2013
by
rvidyagovindarajan_1
1
answer
The vector that makes equal angle with $\large\frac{1}{3}$$(\hat i-2\hat j+2\hat k), \:\large\frac{1}{5}$$(-4\hat i-3\hat k)$ and $\hat j$ is ?
jeemain
math
class12
ch10
vector-algebra
medium
vector-product
q26
asked
Nov 7, 2013
by
rvidyagovindarajan_1
1
answer
The set of all possible values of $'c'$ for which $\overrightarrow a=c \log_3 x\hat i-6\hat j+3\hat k$ and $\overrightarrow b=\log_3x\hat i+2\hat j+2c\log_3x\hat k$ making acute angle for $\forall x\in (0,\infty)$ is ?
jeemain
math
class12
ch10
vector-algebra
difficult
vector-product
q25
asked
Nov 6, 2013
by
rvidyagovindarajan_1
1
answer
In a rt. angled $\Delta$ $ABC$, the hypotenuse $|\overrightarrow {AB}|=p$,then $\overrightarrow {AB}.\overrightarrow {AC}+\overrightarrow {BC}.\overrightarrow {BA}+\overrightarrow {CA}.\overrightarrow {CB}=?$
jeemain
math
class12
ch10
vector-algebra
medium
vector-product
addition-of-vectors
q24
asked
Nov 6, 2013
by
rvidyagovindarajan_1
1
answer
Area of a parallelogram with adjacent sides $\overrightarrow a=\overrightarrow p+2\overrightarrow q,$ and $\overrightarrow b=2\overrightarrow p+\overrightarrow q$, where $\overrightarrow p,\overrightarrow q$ are unit vectors with angle $\large\frac{\pi}{6}$ between them is ?
jeemain
math
class12
ch10
vector-algebra
medium
vector-product
q23
asked
Nov 6, 2013
by
rvidyagovindarajan_1
1
answer
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