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Recent questions tagged class11
Questions
From a sphere of radius 1m, a sphere of radius 0.5 m is removed from the edge. The shift in the CM is
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
medium
asked
Nov 21, 2013
by
meena.p
1
answer
Half of the uniform rectangular plate of length 'L' is made of material of density $d_1$and the other half of density $d_2$. The horizontal distance of center of mass from AB is
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
medium
asked
Nov 21, 2013
by
meena.p
1
answer
On a large tray of mass M an ice cube of mass m, edge L is kept. If the ice melts completely , the COM of the system comes down by
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
easy
asked
Nov 20, 2013
by
meena.p
1
answer
Two discs of radius 2 cm and 1 cm, made of the same material are placed as shown . The center of mass from $O_1$ is:
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
easy
asked
Nov 20, 2013
by
meena.p
1
answer
A uniform disc of radius R is put over another uniform disc of radius 2R of same thickness and density . The peripheries of the two dises touch each other. The position of their COM is
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
medium
asked
Nov 20, 2013
by
meena.p
1
answer
Two uniform rods A and B of Lengths 5 m and 3 m are placed end to end. If their linear densities are $3\;kg/m$ and $2\;kg/m$, the position of their centre of mass from their interface is
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
medium
asked
Nov 20, 2013
by
meena.p
1
answer
Three identical spheres each of radius 'R' and touching each other so that the centres A,B and C lie on a straight line. The position of their centre of Mass from A is
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
easy
asked
Nov 20, 2013
by
meena.p
1
answer
The mass of a uniform ladder of Length 5 m is 20 kg. A person of mass 60 kg stands on the ladder at a height of 2 m from the bottom. The position of the center of mass of the ladder and man from the bottom is nearly
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
easy
asked
Nov 20, 2013
by
meena.p
1
answer
A uniform wire of length L is bent in the form of a circle. The shift in its centre of mass is
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
medium
asked
Nov 20, 2013
by
meena.p
1
answer
Particles of masses $100\;g$ and $300\;g$ have position vectors $(2 \hat {i}+5 \hat {j}+13 \hat {k})$ and $(-6 \hat i +4 \hat j+2 \hat k).$ Position vector of their center of Mass is
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
easy
asked
Nov 20, 2013
by
meena.p
1
answer
Center of mass of two particles with masses 2 kg and 1 kg located at (1,0,1) and (2,2,0) has the coordinates of
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
easy
asked
Nov 20, 2013
by
meena.p
1
answer
The center of mass of a system of particles is at the origin from this we conclude that
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
easy
asked
Nov 20, 2013
by
meena.p
1
answer
If the external forces acting on a system have zero resultant , the center of mass
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
easy
asked
Nov 20, 2013
by
meena.p
1
answer
A body has its centre of mass at the origin. The y coordinates of the particles of the body may be 1) all positive 2) all negative 3) all non-zero 4) positive for some cases and negative in other cases. Which of the following is correct ?
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
easy
asked
Nov 20, 2013
by
meena.p
1
answer
Find the least number of terms for the series 16, 24, 36,.... such that the sum of all terms of the series exceeds 2000
jeemain
math
class11
unit7
sequences-and-series
difficult
asked
Nov 19, 2013
by
harini.tutor
1
answer
Find the sum of the following series $1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \frac{1}{16} + \cdots + \infty $
jeemain
math
class11
unit7
sequences-and-series
easy
asked
Nov 19, 2013
by
harini.tutor
1
answer
Given that the fourth and eighth term of a GP are 5 and 80, find the 12th term.
jeemain
math
class11
unit7
sequences-and-series
medium
asked
Nov 19, 2013
by
harini.tutor
1
answer
The sum of an AP is 1815. If the first and last terms are -12 and 133 respectively, find the number of terms in the AP
jeemain
math
class11
unit7
sequences-and-series
medium
asked
Nov 19, 2013
by
harini.tutor
1
answer
Find the sum of the GP $ 1, 2, 4, 8, 16, 64 .... $ upto n terms
jeemain
math
class11
ch9
sequences-and-series
geometric-progression
easy
asked
Nov 19, 2013
by
harini.tutor
1
answer
Find the sum of even numbers between 50 and 100
jeemain
math
class11
ch9
sequences-and-series
sum-of-n-terms-of-special-series
medium
asked
Nov 19, 2013
by
harini.tutor
1
answer
What is the sum of all odd natural numbers till 200 ?
jeemain
math
class11
ch9
sequences-and-series
arithmetic-progression
medium
asked
Nov 19, 2013
by
harini.tutor
1
answer
Find the 10th term of the AP -3, -1, 1, 3, ....
jeemain
math
class11
sequences-and-series
ch9
arithmetic-progression
easy
asked
Nov 19, 2013
by
harini.tutor
1
answer
For a $\Delta ABC$ it is given that : $\cos A+\cos B+\cos C=\large\frac{3}{2}$.What type of triangle is $ABC$?
jeemain
math
class11
ch3
trigonometric-functions
q40
trigonometric-identities
difficult
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}$
jeemain
math
class11
sequences-and-series
unit9
sum-of-n-terms-of-special-series
easy
asked
Nov 19, 2013
by
harini.tutor
1
answer
If $0\leq x\leq \large\frac{\pi}{2}$ and $81^{\large \sin^2x}+81^{\large\cos^2x}=30$ then $x$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q39
trigonometric-equations
difficult
asked
Nov 19, 2013
by
sreemathi.v
1
answer
Total number of solutions of $\cos x.\cos 2x.\cos 3x=\large\frac{1}{4}$ in $[0,\pi]$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q38
trigonometric-equations
difficult
asked
Nov 19, 2013
by
sreemathi.v
1
answer
Solve :$\log _7\log _5(\sqrt{x+5}+\sqrt{x})=0$
jeemain
math
class11
ch3
trigonometric-functions
q35
trigonometric-equations
difficult
asked
Nov 19, 2013
by
sreemathi.v
1
answer
If $x>1,y>1,z>1$ are in G.P then $\large\frac{1}{1+ln\; x},\frac{1}{1+ln\; y},\frac{1}{1+ln \;z}$ are in
jeemain
math
class11
ch3
trigonometric-functions
q34
trignometric-equations
difficult
asked
Nov 19, 2013
by
sreemathi.v
1
answer
Let $ABCD$ be a quadrilateral with area 18 with side AB parallel to the side CD and AB=2CD.Let AD be $\perp$ to AB and CD.If a circle is drawn inside the quadrilateral ABCD touching all the sides then its radius is
jeemain
math
class11
ch3
trigonometric-functions
q33
angles
difficult
asked
Nov 19, 2013
by
sreemathi.v
1
answer
The radius of the circle passing through the centre of the inscribed circle of the $\Delta$le ABC and through the end point of the base BC is R then $\large\frac{a}{R}$$\sec \large\frac{A}{2}$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q32
angles
difficult
asked
Nov 18, 2013
by
sreemathi.v
1
answer
$ABC$ is a $\Delta$le.Its area is 12sqcm and base is 6cm.The difference of base angle is $60^{\large\circ}$.If $A$ be the angle opposite to the base,then the value of $8\sin A-6\cos A$ is
jeemain
math
class11
ch3
trigonometric-functions
q31
angles
difficult
asked
Nov 18, 2013
by
sreemathi.v
1
answer
The number of all possible values of $\theta$ where $0 < \theta < \pi$ for which the system of equations $(y+z)\cos 3\theta=(xyz)\sin 3\theta$,$x\sin 3\theta=\large\frac{2\cos 3\theta}{y}+\frac{2\sin 3\theta}{z}$,$(xyz)\sin 3\theta=(y+2z)\cos 3\theta+y\sin 3\theta$ have a solution $(x_0,y_0,z_0)$ with $y_0,z_0\neq 0$ is
jeemain
math
class11
ch3
trigonometric-functions
q30
trignometric-equations
difficult
asked
Nov 18, 2013
by
sreemathi.v
1
answer
The positive integer value of $n>3$ satisfying the equation $\large\frac{1}{\sin\big(\Large\frac{\pi}{n}\big)}=\frac{1}{\sin\big(\Large\frac{2\pi}{n}\big)}+\frac{1}{\sin\big(\Large\frac{3\pi}{n}\big)}$ is
jeemain
math
class11
ch3
trigonometric-functions
q29
trignometric-equations
difficult
asked
Nov 18, 2013
by
sreemathi.v
1
answer
Let $ABC$ be a triangle such that $\angle ACB=\large\frac{\pi}{6}$.Let $a,b$ and $c$ denote the lengths of the sides opposite to $A,B$ and $C$ respectively.The value of $x$ for which $a=x^2+x+1,b=x^2-1$ and $c=2x+1$ is
jeemain
math
class11
ch3
trigonometric-functions
q26
angles
difficult
asked
Nov 18, 2013
by
sreemathi.v
1
answer
Two sides of a $\Delta$le are given by the roots of the equation $x^2-2\sqrt 3x+2=0$,The angle between the sides is $\large\frac{\pi}{3}$.The perimeter of the triangle is
jeemain
math
class11
ch3
trigonometric-functions
q25
trignometric-equations
difficult
asked
Nov 18, 2013
by
sreemathi.v
1
answer
Find the maximum and minimum value of $\sin^6x+\cos^6x$
jeemain
math
class11
ch3
trigonometric-functions
q60
trigonometric-equations
medium
asked
Nov 18, 2013
by
sreemathi.v
1
answer
$ABC$ is a triangle with $\angle A=30^{\large\circ}$ $BC=10$cm.The area of the circumcircle of the $\Delta$le is?
jeemain
math
class11
ch3
trigonometric-functions
q57
angles
medium
asked
Nov 18, 2013
by
sreemathi.v
1
answer
The circumradius of the $\Delta$le whose sides are $13,12\; and\; 5 \;is$?
jeemain
math
class11
ch3
trigonometric-functions
q56
angles
medium
asked
Nov 18, 2013
by
sreemathi.v
1
answer
Two sides of $\Delta$le are $\sqrt 2-1$ and $\sqrt 2+1$ unit and their included angle is $60^{\large\circ}$.Then the third side of the $\Delta$le is
jeemain
math
class11
ch3
trigonometric-functions
q55
trignometric-identities
medium
asked
Nov 18, 2013
by
sreemathi.v
1
answer
The number of values of $x$ in $[0,2\pi]$ satisfying the equation $3\cos 2x-10\cos x+7=0$ is?
jeemain
math
class11
ch3
trigonometric-functions
q54
trignometric-equations
medium
asked
Nov 18, 2013
by
sreemathi.v
1
answer
The solution of the equation $4\sin^4x+\cos^4x=1$ is
jeemain
math
class11
ch3
trigonometric-functions
q53
trignometric-equations
medium
asked
Nov 18, 2013
by
sreemathi.v
1
answer
The number of values of $x$ in the interval $[0,3\pi]$ .Satisfying the equation $2\sin^2x+5\sin x-3=0$ is
jeemain
math
class11
ch3
trigonometric-functions
q52
trignometric-equations
medium
asked
Nov 18, 2013
by
sreemathi.v
1
answer
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
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
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
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