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Recent questions tagged sec-c
Questions
Probability of solving a mathematical problem by A, B and C respectively are $\large\frac{1}{3}, \frac{1}{2}$$ \: and \: \frac{1}{4} $. If they try to solve the problem independently, find the probability that : (i) the problem is solved (ii) exactly one of them solve the problem (iii) exactly two of them solve the problem (iv) what do you think that problem solving attitude from books helpful in real life also?
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Jan 16, 2013
by
thanvigandhi_1
0
answers
Find the area bounded by the lines $y=4x+5,y=5-x$ and $4y=x+5.$
cbse
class12
ch8
q21
p177
exemplar
sec-c
difficult
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
Compute the area of the bounded by the line $x+2y=2,y-x=1$ and $2x+y=7.$
cbse
class12
ch8
q20
p177
exemplar
sec-c
difficult
modelpaper
2012
q25
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
Draw a rough sketch of the region {(x,y):$y^2\leq 6ax $ and $x^2+y^2\leq 16a^2$}.Also find the area of the region sketched using method of integration.
cbse
class12
ch8
q19
p177
exemplar
sec-c
medium
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
Find the area of region bounded by the triangle whose vertices are $(-1,1),(0,5)$ and $(3,2)$ using integration.
cbse
class12
ch8
q18
p177
exemplar
sec-c
difficult
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
Find the area of the region bounded by the curve $y^2=2x$ and $x^2+y^2=4x.$
cbse
class12
ch8
q16
p177
exemplar
sec-c
difficult
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
Find the area bounded by the curve $y=\sqrt x,x=2y+3$ in the first quadrant and $x$-axis.
cbse
class12
ch8
q15
p177
short-answer
exemplar
sec-c
difficult
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
Find the area of the enclosed by the curve $y=-x^2$ and the straight line $x+y+2=0.$
cbse
class12
ch8
q14
p177
short-answer
exemplar
sec-c
difficult
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
Find the area of the region bounded by $y=\sqrt x$ and $y=x.$
cbse
class12
ch8
q13
p177
short-answer
exemplar
sec-c
medium
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
Determine the area under the curve $y=\sqrt{a^2-x^2}$ included between the lines $x=0$ and $x=a$.
cbse
class12
ch8
q12
p177
short-answer
exemplar
sec-c
medium
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
Find the area of the region included between $y^2=9x$ and $y=x$.
cbse
class12
ch8
q5
p176
short-answer
exemplar
sec-c
medium
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
Find the area of the region bounded by the curve $y^2=4x,x^2=4y$.
cbse
class12
ch8
q4
p176
short-answer
exemplar
sec-c
difficult
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
Find the area of the region bounded by the curve $y=x^3$ and $y=x+6$ and $x=0$.
cbse
class12
ch8
q3
p176
short-answer
exemplar
sec-c
difficult
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
Using properties of determinants, prove the following : \( \begin{bmatrix} (b+c)^2 & ab & ca \\ ab & (a+c)^2 & bc \\ ac & bc & (a+b)^2 \end{bmatrix} = 2abc (a+b+c)^3.\)
cbse
class12
modelpaper
2012
sec-c
q23
math
asked
Jan 16, 2013
by
thanvigandhi_1
0
answers
Find the area of the region bounded by the parabola $y^2=2px,x^2=2py.$
cbse
class12
ch8
q2
p176
short-answer
exemplar
sec-c
medium
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
A square piece of tin of side 24 cm is to be made into a box without top by cutting a square from each corner and folding up the flaps to form a box. What should be the side of the square to be cut off so that volume of the box is maximum?
cbse
class12
modelpaper
2012
sec-c
q24
math
asked
Jan 15, 2013
by
thanvigandhi_1
1
answer
Find the area of the region bounded by the curves $y^2=9x,y=3x.$
cbse
class12
ch8
q1
p176
short-answer
exemplar
sec-c
medium
math
asked
Jan 15, 2013
by
sreemathi.v
1
answer
An open box with a square base is to be made out of given quantity of sheet of area \( a^2\). Show that maximum volume of the box is \( \large\frac{a^3}{6\sqrt 3}. \)
cbse
class12
modelpaper
2012
sec-c
q24
math
asked
Jan 15, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int \large\frac{x^4}{x^4-1}$$ dx $
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 15, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int \: \sqrt {\large\frac{1-\sqrt x}{1+\sqrt x}}dx. $
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 15, 2013
by
thanvigandhi_1
0
answers
Find the area enclosed by the parabolas \( y^2=9x \: and \: x^2=9y\)
cbse
class12
modelpaper
2012
sec-c
q26
math
asked
Jan 15, 2013
by
thanvigandhi_1
0
answers
Find the image of (1, 3, 4) in the plane x-y+z=5.
cbse
class12
modelpaper
2012
sec-c
q27
math
asked
Jan 15, 2013
by
thanvigandhi_1
0
answers
A factory owner wants to purchase two types of machines. A and B for his factory. The machine A requires an area of 1000 \( m^2\) and 12 skilled men for running it and its daily output is 50 units, whereas the machine B requires 1200 \( m^2\) area and 8 skilled men and its daily output is 40 units. If an area of 7600 \( m^2\) and 72 skilled men be available to operate the machine, how many machines of each type should be bought to maximise the daily output.? Keeping unemployment in mind justify the values to be promoted for selection of the manually operated machine.
cbse
class12
modelpaper
2012
sec-c
q28
math
asked
Jan 15, 2013
by
thanvigandhi_1
0
answers
A compay has two plants to manufacture bicycles. Plant I manufacture 70% of the bicycles and plant II manufacture 30%. At plant I, 80% of the bicycles are rated as of standard quality and a plant II , 90% of the bicycles are rated as of standard quality. A bicycle is choosen at random and is found to be of standard quality. What is the probability that it has come from plant II. Which mode of conveyance preferred by you at the most? why?
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Jan 15, 2013
by
thanvigandhi_1
0
answers
If $\Large \int\frac{dx}{(x+2)(x^2+1)}=\normalsize a\log\mid 1+x^2\mid+b\tan^{-1}x+\frac{1}{5}\log\mid x+2\mid+C$,then\begin{array}{1 1}(A)\;a=\frac{-1}{10},b=\frac{-2}{5} & (B)\;a=\frac{1}{10},b=\frac{-2}{5}\\(C)\;a=\frac{-1}{10},b=\frac{2}{5} & (D)\;a=\frac{1}{10},b=\frac{2}{5}\end{array}
cbse
class12
ch7
q53
p168
objective
exemplar
sec-c
difficult
math
asked
Jan 15, 2013
by
sreemathi.v
1
answer
Evaluate the following:$\int\limits_ {\Large\frac{-\pi}{4}}^{\Large\frac{\pi}{4}} \log(\sin x+\cos x)dx$
cbse
class12
ch7
q47
p166
exemplar
sec-c
difficult
math
asked
Jan 15, 2013
by
sreemathi.v
1
answer
Evaluate the following:$\int\limits_0^{\Large\frac{\pi}{2}}\large\frac{dx}{(a^2\cos^2x+b^2\sin^2x)^2}\quad\normalsize \text{(Hint:Divide Numerator and Denominator by $\cos^4x)$}$
cbse
class12
ch7
q44
p166
exemplar
sec-c
difficult
math
asked
Jan 14, 2013
by
sreemathi.v
1
answer
Evaluate :$\int \sqrt \tan x \;dx\;$
cbse
class12
ch7
q43
p166
exemplar
sec-c
difficult
math
asked
Jan 14, 2013
by
sreemathi.v
1
answer
Evaluate the following:$\int e^{-3x}\cos^3xdx$
cbse
class12
ch7
q42
p166
exemplar
sec-c
difficult
math
asked
Jan 14, 2013
by
sreemathi.v
1
answer
Evaluate the following:$\int\sin^{-1}\sqrt{\large\frac{x}{a+x}}dx\quad(Hint:Put\;x=a\tan^2\theta)$
cbse
class12
ch7
q40
p166
exemplar
sec-c
medium
math
asked
Jan 14, 2013
by
sreemathi.v
1
answer
Evaluate the following: $\displaystyle\int\frac{2x-1}{(x-1)(x+2)(x-3)}dx$
cbse
class12
ch7
q38
p165
exemplar
sec-c
difficult
math
asked
Jan 14, 2013
by
sreemathi.v
1
answer
Evaluate the following:$\displaystyle\int\frac{x^2dx}{(x^2+a^2)(x^2+b^2)}$
cbse
class12
ch7
q36
p165
exemplar
sec-c
difficult
math
asked
Jan 14, 2013
by
sreemathi.v
1
answer
Evaluate the following: $\displaystyle\int\frac{x^2dx}{x^4-x^2-12}$
cbse
class12
ch7
q35
p165
exemplar
sec-c
difficult
math
asked
Jan 14, 2013
by
sreemathi.v
1
answer
Evaluate the following: $\int\limits_0^\pi x\sin x\cos^2xdx$
cbse
class12
ch7
q33
p165
exemplar
sec-c
medium
math
asked
Jan 14, 2013
by
sreemathi.v
1
answer
(i) If a young lady drives her scooty at 30 km/hour, she had to spend Rs. 2.00 per km on petrol. If she drives at speed 50 km/h the petrol cost is Rs. 4.00 per km. She has Rs. 150 to spend on petrol and wants to describe the maximum distance she can travel within 2 hours. Express this as L.P.P and solve it graphically. (ii) Which mode of transport you suggest to a student and why?
cbse
class12
modelpaper
2012
sec-c
q24
math
asked
Jan 13, 2013
by
thanvigandhi_1
0
answers
(i) In the village of 50 people 25 people have their fast on republic day. Two persons are selected at random out of them, write the probability distribution who are on fast. Also find the mean of the distribution. (ii) What do you mean by republic?
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 13, 2013
by
thanvigandhi_1
0
answers
An insurance company insured 2000 scooter drivers, 4000 car drivers and 6000 truck drivers. The probability of an accident involving a scooter driver, car driver and a truck driver is 0.01, 0.03 and 0.15 respectively. One of the insured person meet with an accident. What is the probability that he is a scooter driver? What do you know by 'insurance'?
cbse
class12
modelpaper
2012
sec-c
q25
math
asked
Jan 13, 2013
by
thanvigandhi_1
0
answers
Using integration find the area of the following region $ \{ (x, y):|x-1| \geq y \geq \sqrt{5-x^2} \} .$
cbse
class12
modelpaper
2012
sec-c
q26
math
asked
Jan 13, 2013
by
thanvigandhi_1
0
answers
Find the maximum area of an isosceles triangle inscribed in the ellipse \( \frac{\large x^2}{\large a^2}+\frac{\large y^2}{\large b^2}=1\) with its vertex at one end of the major axis.
cbse
class12
modelpaper
2012
sec-c
q27
math
asked
Jan 13, 2013
by
thanvigandhi_1
0
answers
Show that \( \int_0^{\pi} \frac{\large x\: sin\: x}{\large 1+sin \: x}= \frac{\large \pi}{\large 2}(\pi-2) \)
cbse
class12
modelpaper
2012
sec-c
q28
math
asked
Jan 13, 2013
by
thanvigandhi_1
0
answers
Show that \( \int_0^{\pi} \log(1+tan \: \theta ) d\theta. \)
cbse
class12
modelpaper
2012
sec-c
q28
math
asked
Jan 13, 2013
by
thanvigandhi_1
0
answers
Find the shortest distance between the lines : $\large \frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}$$ \: and \: \large\frac{x-2}{3}=\frac{y-4}{4}=\frac{z-5}{5} $ Also, find equation of the shortest distance.
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Jan 13, 2013
by
thanvigandhi_1
0
answers
The smallest value of the polynomial $x^3-18x^2+96x$ in [0,9] is
cbse
class12
ch6
q53
p141
objective
exemplar
difficult
sec-c
math
asked
Jan 11, 2013
by
sreemathi.v
1
answer
Let A = R-{3} and B = R-{1}. Consider the function\( f:A \rightarrow B\) defined by \( f(x)=\large\frac{x-2}{x-3}\). Is f one-one and onto? Justify your answer.
cbse
class12
modelpaper
2012
sec-c
q23
math
asked
Jan 11, 2013
by
thanvigandhi_1
0
answers
AB is a diameter of a circle and C is any point on the circle.Show that the area of $\bigtriangleup ABC$ is maximum,when it is isosceles.
cbse
class12
ch6
q32
p138
exemplar
difficult
sec-c
math
asked
Jan 11, 2013
by
sreemathi.v
1
answer
If the sum of the surface areas of cube and a sphere is constant.What is the ratio of an edge of the cube to the diameter of the sphere,when the sum of their volumes is minimum?
cbse
class12
ch6
q31
p138
exemplar
difficult
sec-c
math
asked
Jan 11, 2013
by
sreemathi.v
1
answer
Find the dimentions of the rectangle of perimeter 36cm which will sweep out a volume as large as possible,when revolved about one of its sides.Also find the maximum volume.
cbse
class12
ch6
q30
p137
exemplar
sec-c
medium
math
asked
Jan 11, 2013
by
sreemathi.v
1
answer
An open box with square base is to be made of a given quantity of card board of area $ c^2$.Show that the maximum volume of the box is $\Large \frac{c^3}{6\sqrt 3}$ cubic units.
cbse
class12
ch6
q29
p137
exemplar
medium
sec-c
math
asked
Jan 11, 2013
by
sreemathi.v
1
answer
If the sum of the lengths of the hypotenuse and a side of a right angled triangle is given,show that the area of the triangle is maximum when the angle between them is $\Large \frac{1}{3}$
cbse
class12
ch6
q25
p137
exemplar
medium
sec-c
math
asked
Jan 11, 2013
by
sreemathi.v
1
answer
Solve, using matrices : $ 2x-y+3z=5;3x+2y-z=7 ; 4x+5y-5z = 9$
cbse
class12
modelpaper
2012
sec-c
q24
math
asked
Jan 11, 2013
by
thanvigandhi_1
1
answer
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