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Questions asked by priyanka.c
Questions
2867
questions
0
answers selected
Find the area of the region $\{ (x,y) : 0 \leq y \leq x^2, 0 \leq y \leq x+2 , 0 \leq x \leq 3\}$
cbse
class12
maths
ch1
sec-e
asked
Dec 27, 2016
1
answer
Find the image of the point (1, 3. 4) in the plane $x-y+z =5$. Hence show that the image lies on the plane $x -2y +z -7 = 0$
cbse
class12
maths
ch1
sec-e
asked
Dec 27, 2016
1
answer
Radioactive wastes is to be disposed of in full enclosed lead boxes of inner volume $200 cm^3$. The base of the box has dimension in the ratio 2:1 . What is the inner length of the box. Find the minimum inner surface area of the box.
cbse
class12
maths
ch1
sec-e
asked
Dec 22, 2016
1
answer
Rent -a-car has three different makes of vehicles P, Q and R for hire. These cars are located at stations A and B on either side of a city. Some cars are being rented. In total they have 150 cars. At station A, they have 20% of P, 40% of Q and 30% of R which is 46 cars in total. At station B they have 40% of P, 20% of Q and 50% of R which is 54 cars in total. How many of each cars types does Rent-a -car have ?
cbse
class12
maths
ch1
sec-e
asked
Dec 22, 2016
1
answer
Integrate $\begin{align*} \int \frac{\sin(x+a)}{\sin (x+b)} dx\end{align*} $
cbse
class12
maths
ch1
sec-c
asked
Dec 22, 2016
1
answer
Express the matrix $A = \begin{bmatrix} 3 & 2 & 3 \\ 4 & 5 & 3 \\ 2 & 4 & 5 \end{bmatrix}$ as the sum of a symmetric and a skew symmetric matrix.
cbse
class12
maths
ch1
sec-c
asked
Dec 22, 2016
1
answer
Assume that each child born is equally likely to be a boy or a girl. If a family has two children, what is the conditional probability that both are girls given that
(a) The youngest is a girl.
(b) At least one is a girl.
Pre-natal *** determination is a crime. What will you do if you come to know that some of your known is indulging in pre-natal *** determination ?
cbse
class12
maths
ch1
sec-c
asked
Dec 22, 2016
1
answer
Evaluate $\begin{align*} \int \limits_{-1}^{3/2} |x \sin {\pi \; x}| dx \end{align*}$
cbse
class12
maths
ch1
sec-c
asked
Dec 21, 2016
1
answer
Find the condition that the curves $2x= y^2$ and $2xy = k $ intersect orthogonally.
cbse
class12
maths
ch1
sec-c
asked
Dec 21, 2016
1
answer
Differentiate $x ^{\sin ^{-1} x}$ w.r.t $\sin^{-1} x$
cbse
class12
maths
ch1
sec-c
asked
Dec 21, 2016
1
answer
For what value of $a$ and $b$ is the function $f(x) = \begin{cases} x^2 ,& x \leq c \\ ax+b , & x> c \end{cases} $ is differentiable at $x=c$
cbse
class12
maths
ch1
sec-c
asked
Dec 21, 2016
1
answer
Evaluate : $\begin{vmatrix} a & b-c & c+b \\ a+c & b & c-a \\ a-b & b+a & c \end{vmatrix} $
cbse
class12
maths
ch4
sec-c
asked
Dec 21, 2016
1
answer
On the set $R -\{ -1\} $ a binary operation $\ast$ is defined by $a \ast b = a + b + ab$ for all $a,b \in R - \{-1\}$. Prove that $\ast$ is commutative as well as associative on $R -\{-1\}$. Find the identity element on $\ast$ if any.
cbse
class12
maths
ch1
sec-c
asked
Dec 21, 2016
1
answer
Evaluate : $\tan \begin{bmatrix} \frac{\pi}{4} + \frac{1}{2} \cos^{-1} \frac{a}{b} \end{bmatrix} + \tan \begin{bmatrix} \frac{\pi}{4} - \frac{1}{2} \cos^{-1} \frac{a}{b} \end{bmatrix}$
cbse
class12
maths
ch2
sec-c
asked
Dec 21, 2016
1
answer
Find the value of $x, y, z $ if the matrix. $\begin{bmatrix} 0 & 2y & z \\ x & y & -z \\ x & -y & z \end{bmatrix}$ satisfy the equation $A^TA =I_3$
cbse
class12
maths
ch3
sec-b
asked
Dec 21, 2016
1
answer
Using differentials, find the appropriate value of $[0.009] ^ {\frac{1}{3}}$
cbse
class12
maths
ch1
sec-b
asked
Dec 20, 2016
1
answer
If $\overrightarrow {b} \times \overrightarrow {c} = \overrightarrow {c} \overrightarrow {a} \neq 0$, then $\overrightarrow{a} + \overrightarrow {b} = k \overrightarrow {c}$ where k is any scalar.
Is it true or false .
cbse
class12
maths
ch1
sec-b
asked
Dec 20, 2016
1
answer
A die is thrown 10 times. If getting a prime number is considered a success, find the probability of getting not more than 8 successes.
cbse
class12
maths
ch13
sec-b
asked
Dec 20, 2016
1
answer
From the differential equation of the family of curves $y = A \sin 2x + B \cos 2x$
cbse
class12
maths
ch1
sec-b
asked
Dec 20, 2016
1
answer
If $f'(x) = 6x^2+2,$ find $f(x)$, given that $f(x) = 7$ when $x=1$
cbse
class12
maths
ch7
sec-b
asked
Dec 20, 2016
1
answer
If $y = 7x -x^3$ and $x$ increases at the rate of 4 units per second. How fast is the slope of the curve changing when $x=2$
cbse
class12
maths
ch1
sec-b
asked
Dec 20, 2016
1
answer
If $A =\begin{bmatrix} x & -2 \\ 3 & 7 \end{bmatrix}$ and $A^{-1} = \begin{bmatrix} \frac{7}{34} & \frac{1}{17} \\ \frac{3}{34} & \frac{2}{17} \end{bmatrix}$ then find the value of $x $.
cbse
class12
maths
ch3
sec-b
asked
Dec 20, 2016
1
answer
If $\theta$ is the angle between any two vectors $\overrightarrow {a} $ and $\overrightarrow {b}$ , then $|\overrightarrow {a} . \overrightarrow {b} | = |\overrightarrow {a} \times \overrightarrow {b}|$, then what is the value of $\theta$
cbse
class12
maths
ch10
sec-a
asked
Dec 20, 2016
1
answer
Determine the order and degree in the differential equation. Also state if it is a linear or non linear.
$y +\frac{dy}{dx} = \frac{1}{4} \int y dx $
cbse
class12
maths
ch1
sec-a
asked
Dec 20, 2016
1
answer
For what value of $\lambda$, the matrix $\begin{bmatrix} 1 & \lambda & 0 \\ 3 & -1 & 2 \\ 4 & 1 & 5 \end{bmatrix} $ is singular ?
cbse
class12
maths
ch3
sec-a
asked
Dec 20, 2016
1
answer
Let $\ast \; R \times R \to R$ given by $(a,b) \to a + 4b^2$ is a binary operation, compute $-5 \ast (2 \ast 0).$
cbse
class12
maths
ch1
sec-a
asked
Dec 20, 2016
1
answer
If the letters of the word 'ASSASSINATION' are arranged at random in a row, find the probability that
(a) four S's come consecutively in the word
(b) All A's not coming together
(c) two I's and two N's come together.
cbse
class12
maths
ch13
sec-e
asked
Dec 19, 2016
1
answer
A cooperative society of farmers has 50 hectors of land to grow two crops X and Y. The profit from crops X and Y are estimated on Rs.10,500 and Rs.9000 respectively. To control weeds, a liquid herbicide has to be used crops X and Y at rate of 20 litres and 10 litres per hectors. Further no more than 800 litres of herbicide should be used in order to protect fish and wild life using a pond which collects drainage from this land. How much land should be allocated to each crop so as to maximize the total profit of the society ?
cbse
class12
maths
ch1
sec-e
asked
Dec 12, 2016
1
answer
Find the area bounded by the lines. $x +2y = 2, y = x +1$ and $2x +y= 7$
cbse
class12
maths
ch1
sec-e
asked
Dec 12, 2016
1
answer
Integrate : $\begin{align*} \int \frac{dx}{3+2 \sin x + \cos x} \end{align*}$
cbse
class12
maths
ch7
sec-e
asked
Dec 12, 2016
1
answer
$\begin{align*} \int_{\frac{\pi}{6}} ^\frac{\pi}{3} \frac{dx}{1+\sqrt{\tan x}} \end{align*}$
cbse
class12
maths
ch7
sec-c
asked
Dec 12, 2016
1
answer
Find absolute maximum and minimum value a function given by $f(x) = 12x^{\frac{4}{3}} - 6x^{\frac{1}{3}} , x \in [-1,1]$
cbse
class12
maths
ch1
sec-c
asked
Dec 12, 2016
1
answer
Find the area of the triangle formed where vertices are A (3, -1, 2), B (1, -1, -3) and C (4, -3, 1).
cbse
class12
maths
ch10
sec-c
asked
Dec 10, 2016
1
answer
From a group of 7 men and 4 ladies, a committee o 6 persons is formed. What is the probability that the committee will consist exactly of 2 ladies ?
cbse
class12
maths
ch13
sec-c
asked
Dec 10, 2016
1
answer
Without expanding show that $\begin{vmatrix} x^2+x & x+1 & x-2 \\ 2x^2 +3x-1 & 3x & 3x-3 \\ x^2+2x+3 & 2x-1 & 2x-1 \end{vmatrix} = xA +B$ Also find A and B.
cbse
class12
maths
ch4
sec-c
asked
Dec 9, 2016
1
answer
Three shopkeepers X,Y and Z go to a store to buy stationery items. X purchases 12 dozen marker pens, 5 dozen ink pen and 6 dozen pencils. Y purchases 10 dozen marker pens, 6 dozen ink pen and 7 dozen pencils. Z purchases 11 dozen marker pens, 13 dozen ink pens and 8 dozen pencils. A marker pen cost Rs 40/- , a pen costs Rs. 7/- and a pencil Rs. 1 /- each. Using matrix multiplication calculate the individual bills of X, Y and Z.
cbse
class12
maths
ch3
sec-c
asked
Dec 9, 2016
1
answer
In a game, a man wins a rupee for a six and loses a rupee for any other number when a fair die is thrown. The man decided to throw a die thrice but to quit as and when he gets a six. Find the expected value of the amount he wins / loses.
cbse
class12
maths
ch13
sec-e
asked
Dec 8, 2016
1
answer
Differentiate w.r.t. $x$ the function in $x^x + x^a +a^x+a^a$, for some fixed $a> 0$ and $x>0$
cbse
class12
maths
ch5
sec-e
asked
Dec 8, 2016
1
answer
For what values of $x$ and $y$ are the following matrices equal ? $A = \begin{bmatrix} 2x+1 & 3y \\ 0 & y^2-5y \end{bmatrix} , B = \begin{bmatrix} x+3 & y^2+2 \\ 0 &-6 \end{bmatrix}$
cbse
class12
maths
ch3
sec-e
asked
Dec 8, 2016
1
answer
Find the area of the region bounded by the curve $y^2 = x$ and the lines $x = 1, x = 4$ and the $x- axis.$
cbse
class12
maths
ch8
sec-e
asked
Dec 8, 2016
1
answer
Find the point on the curve $y = x^3 - 11 x + 5$ at which the target is $y = x -11.$
cbse
class12
maths
ch7
sec-e
asked
Dec 8, 2016
1
answer
The two equal sides of an isosceles triangle with fixed base b are decreasing at the rate of 3 cm per second. How fast is the area decreasing when the two equal sides are equal to the base ?
cbse
class12
maths
ch6
sec-e
asked
Dec 8, 2016
1
answer
If $f : R \to R$ be given by $f(x) = (3-x^3)^{\frac{1}{3}}$, then evaluate $f o f(x)$
cbse
class12
maths
ch1
sec-a
asked
Dec 7, 2016
1
answer
The radius of a circle is increasing uniformly at the rate of 3 cm/s. How fast is the volume of the cube increasing when the edge is 10cm long ?
cbse
class12
maths
ch6
sec-e
asked
Dec 7, 2016
1
answer
The total revenue in Rupees received from the sales of $x$ units of a product is given by $Rx = 3x^2 + 36x +5$ . Find the marginal revenue , when $x=15$, where by marginal.
cbse
class12
maths
ch6
sec-e
asked
Dec 6, 2016
1
answer
If A and B are symmetric matrices, prove that AB - BA is a skew symmetric matrix
cbse
class12
maths
ch3
sec-e
asked
Dec 6, 2016
1
answer
Using cofactors of elements of second row, evaluate $\triangle = \begin{vmatrix} 5 & 3 & 8 \\ 2 & 0 & 1 \\ 1 & 2 & 3 \end{vmatrix}$
cbse
class12
maths
ch4
sec-e
asked
Dec 5, 2016
1
answer
Evaluate : $\tan^{-1} (1) + cos^{-1} ( \frac{-1}{2} )+ \sin^{-1} (\frac{-1}{2})$
cbse
class12
maths
sec-e
ch3
asked
Dec 5, 2016
2
answers
If $A = \begin{bmatrix} 1 & \tan x \\ -\tan x & 1 \end{bmatrix} $ , Evaluate $A^TA^{-1}$
cbse
class12
maths
sec-c
ch3
asked
Dec 1, 2016
1
answer
Find the value of $\tan^{-1} (\frac{x}{y}) - \tan^{-1}(\frac{x-y}{x+y})$
cbse
class12
maths
sec-c
ch2
asked
Nov 30, 2016
1
answer
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