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Recent questions tagged 2006
Questions
A uniform rod of length 8a and mass 6m lies on a smooth horizontal surface. Two points masses m and 2m moving in the same plane with speed 2v and v respectively strikes the rod perpendicularly at distances a and 2a from the mid point of the rod in the opposite directions and stick to the rod. The angular velocity of the system immediately after the collision is :
jeemain
eamcet
physics
2006
q9
asked
Oct 28, 2013
by
meena.p
1
answer
When the angle of inclination of an inclined plane is 0, an object slides down with uniform velocity. If the same object is pushed with a initial velocity u on the same inclined plane; it goes up the plane and stops at a certain distance on the plane. Thereafter the body:
jeemain
eamcet
physics
2006
q8
asked
Oct 28, 2013
by
meena.p
1
answer
For a system to follow the law of conservation of linear momentum during a collision the condition is :
jeemain
eamcet
physics
2006
q7
asked
Oct 28, 2013
by
meena.p
1
answer
A man of 50kg is standing at one end on a boat of length 25 m and mass $200\;kg$. If he starts running and when he reaches the other end, he has a velocity $2\;ms^{-1}$ with respect to boat The final velocity of the boat is : (in $ms^{-1}$)
jeemain
eamcet
physics
2006
q6
asked
Oct 28, 2013
by
meena.p
1
answer
A bullet of mass 10g id fired horizontally with a velocity $1000 ms^{-1}$ from a rifle situated at a height 50 m above the ground. If the bullet reaches the ground with a velocity $500 ms^{-1}$, the work done against air resistance in the trajectory of the bullet is : $ (g=10\;ms^{-2})$
jeemain
eamcet
physics
2006
q5
asked
Oct 28, 2013
by
meena.p
1
answer
A motor is used to deliver water at a certain rate through a given horizontal pipe. To deliver n-times the water through the same pipe in the same time the power of the motor must be increased as follows :
jeemain
eamcet
physics
2006
q4
asked
Oct 28, 2013
by
meena.p
1
answer
A body is projected from the earth at angle $30^{\circ}$ with the horizontal with some initial velocity. If its range is 20 m, the maximum height reached by it is : (in meters)
jeemain
eamcet
physics
2006
q3
asked
Oct 28, 2013
by
meena.p
1
answer
A man standing on a road has to hold his umbrella at $30^{\circ}$ with the vertical to keep the rain away. He throws the umbrella and starts running at 10 km/h. He finds that raindrops are hitting his head vertically. The actual speed of raindrops is :
jeemain
eamcet
physics
2006
q2
asked
Oct 28, 2013
by
meena.p
1
answer
If G.R.I and I denote capacity, resistance, inductance and electric current respectively, the quantities having the same dimensions of time are : $(1)CR ,\; (2)\;\large\frac{L}{R},\;(3)\;\sqrt {LC}, \;(4)\;LI^2$
jeemain
eamcet
physics
2006
q1
asked
Oct 28, 2013
by
meena.p
1
answer
A company has two plants which manufacture scooters.Plant I manufactures 80% of the scooters while Plant II manufactures 20% of the scooters.At plant I ,85 out of 100 scooters are rated as being of standard quality,while at Plant II only 65 out of 100 scooters are rated as being of standard quality.If a scooter is of standard quality,what is the probability that it came from Plant I?
isc
class12
modelpaper
2006
sec-c
q15
q15-b
asked
Apr 17, 2013
by
sreemathi.v
1
answer
Four dice are thrown simultaneously.If the occurrence of an odd number in a single dice is considered a success,find the probability of at most 2 successes.
isc
class12
modelpaper
2006
sec-c
q15
q15-a
asked
Apr 17, 2013
by
sreemathi.v
0
answers
A television manufacturer finds that the total cost for the production and marketing of $x$ number of television sets is : $c(x)=300x^2+4200x+13,500.$Each product is sold for Rs.8,400.Determine the break-even points.
isc
class12
modelpaper
2006
sec-c
q14
q14-b
asked
Apr 17, 2013
by
sreemathi.v
0
answers
Mr.Agarwal buys goods worth Rs.2,800 payable 8 months. Hence he pays Rs.400 at the end of the second month and Rs.600 at the end of the third month.Find the number of months after which the balance will become due.
isc
class12
modelpaper
2006
sec-c
q14
q14-a
asked
Apr 17, 2013
by
sreemathi.v
0
answers
The price of a tape recorder is Rs. 1,561.A person purchases it by paying Rs. 300 in cash and the balance is to be paid with due interest in 3 half yearly equal installments.If the dealer charges interest at the rate of 10% per annum compounded half yearly,find the value of each installment.
isc
class12
modelpaper
2006
sec-c
q13
q13-b
asked
Apr 17, 2013
by
sreemathi.v
0
answers
Find the Banker's discount and the discounted value of a bill worth Rs.600 drawn on May 15,2005 for 3 months and discounted on July 20,2005 at 5% per annum.
isc
class12
modelpaper
2006
sec-c
q13
q13-a
asked
Apr 17, 2013
by
sreemathi.v
0
answers
The table below gives details of the electricity generated in million kilowatt hours in each quarter for the years 2002 to 2004.
isc
class12
modelpaper
2006
sec-b
q12
q12-b
asked
Apr 17, 2013
by
sreemathi.v
0
answers
The quotations for four different commodities for the years 2000 and 2005 are given below.Calculate the index number for 2005 with 2000 as the base year by using the weighted average of price relatives method.
isc
class12
modelpaper
2006
sec-b
q12
q12-a
asked
Apr 17, 2013
by
sreemathi.v
0
answers
The vectors $\hat{i}+3\hat{j},5\hat{k}$ and $\lambda\hat{i}-\hat{j}$ are coplanar.Find the value of $\lambda$.
isc
class12
modelpaper
2006
sec-b
q11
q11-b
asked
Apr 17, 2013
by
sreemathi.v
0
answers
The vectors $-2\hat{i}+4\hat{j}+4\hat{k}$ and $-4\hat{i}-2\hat{k}$ represent the diagonals BD and AC of a parallelogram ABCD.Find the area of the parallelogram.
isc
class12
modelpaper
2006
sec-b
q11
q11-a
asked
Apr 17, 2013
by
sreemathi.v
0
answers
Show that the equation to a sphere passing through three points (2,0,0),(0,2,0) and (0,0,2) and having its centre on the plane $2x+3y+4z=27$ is $x^2+y^2+z^2-6x-6y-6z+8=0.$
isc
class12
modelpaper
2006
sec-b
q10
q10-b
asked
Apr 17, 2013
by
sreemathi.v
0
answers
Find the equations to be two planes passing through the points (0,4,-3) and (6,-4,3),if the sum of their intercepts on the three axes is zero.
isc
class12
modelpaper
2006
sec-b
q10
q10-a
asked
Apr 17, 2013
by
sreemathi.v
0
answers
Solve the differential equation : $y dx-(x+2y^2)dy=0$.
isc
class12
modelpaper
2006
sec-a
q9
q9-b
asked
Apr 16, 2013
by
sreemathi.v
0
answers
Find the cube roots of -27 and show that the sum of the cube roots is equal to zero.
isc
class12
modelpaper
2006
sec-a
q9
q9-a
asked
Apr 16, 2013
by
sreemathi.v
0
answers
A card is drawn at random from a pack of 52 playing cards.What is the probability that the card drawn is neither a spade nor a queen?
isc
class12
modelpaper
2006
sec-a
q8
q8-b
asked
Apr 16, 2013
by
sreemathi.v
0
answers
A and B throw two dice each.If A gets a sum of 9 on his two dice ,then find the probability of B getting a higher sum.
isc
class12
modelpaper
2006
sec-a
q8
q8-a
asked
Apr 16, 2013
by
sreemathi.v
0
answers
The following table shows the sales and advertisement expenditure of a firm :
isc
class12
modelpaper
2006
sec-a
q7
q7-b
asked
Apr 16, 2013
by
sreemathi.v
1
answer
Calculate Spearman's rank correlation coefficient between the advertisement cost and sales from the following data :
isc
class12
modelpaper
2006
sec-a
q7
q7-a
asked
Apr 16, 2013
by
sreemathi.v
1
answer
The region bounded by the curve $y^2=x(x-1)^2$,the x-axis and the lines $x=1,x=0$,is rotated through four right angles about the x-axis.Calculate the volume of the solid of revolution so formed.
isc
class12
modelpaper
2006
sec-a
q6
q6-b
asked
Apr 16, 2013
by
sreemathi.v
0
answers
Prove that $\int_0^{2\pi}\large\frac{x\cos x}{1+\cos x}\normalsize dx=2{\pi}^2.$
isc
class12
modelpaper
2006
sec-a
q6
q6-a
asked
Apr 16, 2013
by
sreemathi.v
0
answers
Find the volume of the largest cone that can be inscribed in a sphere of radius R.
isc
class12
modelpaper
2006
sec-a
q5
q5-b
asked
Apr 16, 2013
by
sreemathi.v
0
answers
Verify Rolle's theorem for the function $f(x)=e^{2x}(\sin 2x-\cos 2x)$ defined in the interval $\begin{bmatrix}\large\frac{\pi}{8},\frac{5\pi}{8}\end{bmatrix}$
isc
class12
modelpaper
2006
sec-a
q5
q5-a
asked
Apr 16, 2013
by
sreemathi.v
1
answer
If $y=\large\frac{\sin^{-1}x}{\sqrt{1-x^2}}$,prove that $(1-x^2)\large\frac{dy}{dx}-\normalsize xy=1.$
isc
class12
modelpaper
2006
sec-a
q4
q4-b
asked
Apr 16, 2013
by
sreemathi.v
0
answers
Show that : $\sin^{-1}\bigg(\large\frac{1}{\sqrt {17}}\bigg)\normalsize+\cos^{-1}\bigg(\large\frac{9}{\sqrt{85}}\bigg)\normalsize=\tan^{-1}\bigg(\large\frac{1}{2}\bigg).$
isc
class12
modelpaper
2006
sec-a
q4
q4-a
asked
Apr 16, 2013
by
sreemathi.v
0
answers
Find the equation of the bisectors of the angle between the pair of lines given by $(4ax+3by)^2=3(3bx-4ay)^2$
isc
class12
modelpaper
2006
sec-a
q3
q3-b
asked
Apr 16, 2013
by
sreemathi.v
0
answers
Show that the equation $x^2-3xy+2y^2+3x-5y+2=0$ represents two straight lines.Find the angle between them.
isc
class12
modelpaper
2006
sec-a
q3
q3-a
asked
Apr 16, 2013
by
sreemathi.v
0
answers
Find the adjoint of the matrix A=$\begin{bmatrix}1 & 0 & -1\\3 & 4 & 5\\0 &-6 &-7\end{bmatrix}$ and hence find the matrix $A^{-1}$.
isc
class12
modelpaper
2006
sec-a
q2
q2-b
asked
Apr 16, 2013
by
sreemathi.v
0
answers
Show that : $\begin{vmatrix}1 & 1 & 1\\{\alpha}^2 &{\beta}^2 &{\gamma}^2\\{\alpha}^3 &{\beta}^3 &{\gamma}^3\end{vmatrix}=(\alpha-\beta)(\beta-\gamma)(\gamma-\alpha)(\alpha\beta+\beta\gamma+\alpha\gamma)$.
isc
class12
modelpaper
2006
sec-a
q2
q2-a
asked
Apr 16, 2013
by
sreemathi.v
0
answers
Solve the following differential equation : $x(x^2-x^2y^2)dy+y(y^2+x^2y^2)dx=0.$
isc
class12
modelpaper
2006
sec-a
q1
q1-10
asked
Apr 16, 2013
by
sreemathi.v
0
answers
Express $\large\frac{1-2i}{2+i}+\frac{3+i}{2-i}$ in the form $ a+ib$.
isc
class12
modelpaper
2006
sec-a
q1
q1-9
asked
Apr 16, 2013
by
sreemathi.v
0
answers
One set of 100 observations has the mean as 15 and another set of 150 observations has the mean as 16.Find the mean of 250 observations by combining the two sets of given observations.
isc
class12
modelpaper
2006
sec-a
q1
q1-8
asked
Apr 16, 2013
by
sreemathi.v
1
answer
The probability of A,B and C solving a problem are $\large\frac{1}{3},\frac{2}{7}$ and $\large\frac{3}{8}$respectively.If all the three try and solve the problem simultaneously,find the probability that only one of them will solve it.
isc
class12
modelpaper
2006
sec-a
q1
q1-7
asked
Apr 16, 2013
by
sreemathi.v
0
answers
Find the equation of the ellipse whose eccentricity is $\large\frac{1}{2}$ and whose foci are the points $(\pm 2,0).$
isc
class12
modelpaper
2006
sec-a
q1
q1-6
asked
Apr 16, 2013
by
sreemathi.v
0
answers
Evaluate $\int x^2(e^{x^3})\cos (2e^{x^3})dx.$
isc
class12
modelpaper
2006
sec-a
q1
q1-5
asked
Apr 16, 2013
by
sreemathi.v
0
answers
If $y=e^{\sin x^2}$,find $\large\frac{dy}{dx}$.
isc
class12
modelpaper
2006
sec-a
q1
q1-4
asked
Apr 16, 2013
by
sreemathi.v
0
answers
A straight line $2x+y+p=0$ is a focal chord of the parabola $y^2=-8x$.Find the value of $p.$
isc
class12
modelpaper
2006
sec-a
q1
q1-3
asked
Apr 16, 2013
by
sreemathi.v
0
answers
A straight line is parallel to the x-axis and passes through the intersection of the lines $x+2y+1=0$ and $y=x+7$.Find the equation of the straight line.
isc
class12
modelpaper
2006
sec-a
q1
q1-2
asked
Apr 16, 2013
by
sreemathi.v
1
answer
Solve for x and y : $\begin{bmatrix}x^2\\y^2\end{bmatrix}+2\begin{bmatrix}2x\\3y\end{bmatrix}=3\begin{bmatrix}7\\-3\end{bmatrix}$
isc
class12
modelpaper
2006
sec-a
q1
q1-1
asked
Apr 16, 2013
by
sreemathi.v
0
answers
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