Email
Chat with tutors
Login
Ask Questions, Get Answers
Menu
X
home
ask
tuition
questions
practice
papers
mobile
tutors
pricing
X
Recent questions tagged q24
Questions
Find the equation of the line through the point P(3, 4) which cuts from the first quadrant a triangle of the minimum area. Also find the area of the triangle.
cbse
class12
modelpaper
2012
sec-c
q24
math
asked
Jan 9, 2013
by
thanvigandhi_1
0
answers
A company makes 3 model of calculators:A,B and c at factory I and factory II.The company has orders for at least 6400 calculators of model A;4000 calculator of model B and 4800 calculator of model C.At factory I ,50 calculators of model A,50 of model B and 30 of model C are made every day;at factory II,40 calculators of model A,20 of model B and 40 of model C are made every day.It costs Rs 12000 and Rs 15000 each day to operate factory I and II respectively.Find the number of days each factory should operate to minimize the operating costs and still meet the demand.
cbse
class12
ch12
q24
p254
exemplar
sec-c
difficult
math
asked
Jan 8, 2013
by
sreemathi.v
1
answer
Find the equation of the line through the point ( 3, 4 ) which cuts from the first quadrant a triangle of minimum area.
cbse
class12
modelpaper
2012
sec-c
q24
math
asked
Jan 7, 2013
by
thanvigandhi_1
0
answers
Show that the maximum volume of the cylinder which can be inscribed in a sphere of radius \( 5\sqrt 3\) cm is \( 500\pi \: cm^3\)
cbse
class12
modelpaper
2012
sec-c
q24
math
asked
Jan 7, 2013
by
thanvigandhi_1
0
answers
Prove that the height of a right circular cylinder of maximum volume that can be inscribed in a sphere of radius R is \( \large\frac{2R}{\sqrt 3}.\) Also find the maximum volume.
cbse
class12
modelpaper
2012
sec-c
q24
math
asked
Jan 4, 2013
by
thanvigandhi_1
0
answers
Find the point on the curve \( y^2= 4x\) which is nearest to the point ( 2, -8 ).
cbse
class12
modelpaper
2012
sec-c
q24
math
asked
Jan 4, 2013
by
thanvigandhi_1
0
answers
Find the equation of the plane through the intersection of the planes $ \overrightarrow{r}.\quad(\hat i+3 \hat j)-6=0\; and\;\overrightarrow{r}.(3\hat i-\hat j-4 \hat k)=0,$ whose perpendicular distance from origin is unity.
cbse
class12
ch11
q24
p237
exemplar
medium
sec-c
math
asked
Jan 4, 2013
by
sreemathi.v
1
answer
Let \( A = \begin{bmatrix} 0 & 1 \\ 0 & 0 \end{bmatrix} \) , show that \( (aI + bA)^n = a^nI+na^{n-1}bA, \) where I is the identity matrix of order zero \( n \in N. \) If $ \begin{bmatrix} 1 & 1 & 1 \\ 1 & 1 & 1 \\ 1 & 1 & 1 \end{bmatrix} $ prove that : $ \begin{bmatrix} 3^{n-1} & 3^{n-1} & 3^{n-1} \\ 3^{n-1} & 3^{n-1} & 3^{n-1} \\ 3^{n-1} & 3^{n-1} & 3^{n-1} \end{bmatrix}, n \in N. $
cbse
class12
modelpaper
2012
sec-c
q24
difficult
math
asked
Jan 3, 2013
by
thanvigandhi_1
1
answer
If A and B are square matrices of the same order such that AB = BA, then proved by induction that \( AB^n = ^nA.\) Further, prove that \( (AB)^n = A^nB^n\) for all \( n \in N.\)
cbse
class12
modelpaper
2012
sec-c
q24
math
asked
Jan 2, 2013
by
thanvigandhi_1
0
answers
A tank with rectangular base and rectangular sides, open at the top is to be constructed so that its depth is 2m and volume is \( 8m^3\) . If building of tank cost Rs. 70 per sq. metre for the base and Rs. 45 per sq. metre for sides, what is the cost of least expensive tank?
cbse
class12
modelpaper
2012
sec-c
q24
math
asked
Jan 2, 2013
by
thanvigandhi_1
0
answers
Find the volume of the largest cylinder that can be inscribed in a sphere of radius r.
cbse
class12
modelpaper
2012
sec-c
q24
math
asked
Jan 2, 2013
by
thanvigandhi_1
0
answers
A function $f\;:\;R\rightarrow R$ satisfies the equation $f(x+y)=f(x)f(y)$ for all $x,y\in R,f(x)\neq 0.$ Suppose that the function is differentiable at $x=0$ and $f'(0)=2$.Prove that $f'(x)=2f(x).$
cbse
class12
ch5
q24
p109
short-answer
exemplar
sec-b
medium
math
asked
Dec 31, 2012
by
sreemathi.v
1
answer
Show that the height of the cylinder of maximum volume that can be inscribed in a cone of height h is \( \large\frac{1}{3} \) h.
cbse
class12
modelpaper
2008-1
sec-c
q24
math
asked
Dec 29, 2012
by
thanvigandhi_1
0
answers
A helicopter is flying along the curve \( y = x^2 + 2\). A soldier is placed at the point (3, 2) . Find the nearest distance between the soldier and the helicopter.
cbse
class12
modelpaper
2011
sec-c
q24
math
asked
Dec 29, 2012
by
thanvigandhi_1
0
answers
A manufacturer can sell x items at a price of Rs. \( \bigg( 5-\large\frac{x}{100} \bigg) \) each. The cost price of x items is Rs. \( \bigg( \large\frac{x}{5} - \normalsize 500 \bigg) \). Find the number of items he should sell to earn maximum profit.
cbse
class12
modelpaper
2012
sec-c
q24
math
asked
Dec 29, 2012
by
thanvigandhi_1
0
answers
If the sum of the lengths of the hypotenuse and a side of a right angled triangle is given, show that the area of traingle is maximum when the angle between them is \( \large\frac{\pi}{3} \).
cbse
class12
modelpaper
2012
sec-c
q24
math
asked
Dec 29, 2012
by
thanvigandhi_1
0
answers
The sum of the perimeter of a circle and a square is k, where k is some constant. Prove that the sum of their areas is least when the side of square is double the radius of the circle.
cbse
class12
modelpaper
2011
sec-c
q24
math
asked
Dec 28, 2012
by
thanvigandhi_1
0
answers
If $\begin{vmatrix}2x & 5\\8 & x\end{vmatrix}=\begin{vmatrix}6 & -2\\7 & 3\end{vmatrix}$,then value of x is \[\begin{array}{1 1}(A)\quad3 & (B)\quad\pm 3\\(C)\quad \pm 6 & (D)\quad 6\end{array}\]
cbse
class12
ch4
sec-a
q24
p80
objective
exemplar
easy
math
asked
Dec 26, 2012
by
sreemathi.v
1
answer
If the length of three sides of a trapezium, other tan the base are equal to 10 cm each, then find the area of trapezium when it is maximum.
cbse
class12
modelpaper
2012
sec-c
q24
math
asked
Dec 25, 2012
by
thanvigandhi_1
0
answers
A catering agency has two kitchens to prepare food at two places A and B. From these place " Mid-day meal' is to be supplied to three different schools situated at P, Q, R. The monthly requirements of the schools are respectively 40, 40 and 50 food packets. A packet contains lunch for 1000 students. Preparing capacity of kitchen A and B are 60 and 70 packets per month respectively. The transportation cost per packet for the kitchen to school is given below. How many packets from each kitchen should be transported to school so that the cost of transportation is minimum? Also find the minimum cost.
cbse
class12
modelpaper
2008
sec-b
q24
math
asked
Dec 24, 2012
by
thanvigandhi_1
1
answer
Is the function f defined by \[ f (x) = \left\{ \begin{array}{l l} x+5, & \quad {if\: x\: \leq 1}\\ x-5 & \quad \text{ if $x$ > 1} \end{array} \right.\] a continuous function? Justify your answer.
cbse
class12
modelpaper
2012
sec-b
q24
math
asked
Dec 23, 2012
by
thanvigandhi_1
0
answers
If $\begin{bmatrix}2 & 1 & 3\end{bmatrix}\begin{bmatrix}-1 & 0 & -1\\-1 & 1 & 0\\0 & 1 & 1\end{bmatrix}\begin{bmatrix}1\\0\\-1\end{bmatrix}=A,find\;A.$
cbse
class12
ch3
q24
p55
short-answer
exemplar
sec-b
easy
math
asked
Dec 22, 2012
by
sreemathi.v
1
answer
The domain of the function $\cos^{-1}(2x-1)$ is
cbse
class12
ch2
q24
p38
objective
exemplar
easy
sec-a
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
Find the area of the region included between the parabola \( y^2 = x \) and the line \( x + y = 2\).
cbse
class12
modelpaper
2009
sec-c
q24
math
asked
Dec 20, 2012
by
thanvigandhi_1
0
answers
Show that the rectangle of maximum area that can be inscribed in a circle is a square
cbse
class12
modelpaper
2008-1
sec-c
q24
math
asked
Dec 19, 2012
by
thanvigandhi_1
0
answers
Using the definition,prove that the function $f:\;A\rightarrow B$ is invertible if and only if f is both one-one and onto.
cbse
class12
ch1
q24
p13
exemplar
sec-a
math
asked
Dec 19, 2012
by
sreemathi.v
1
answer
There are three coins. One is a two headed coin (having head on both faces), another is a biased coin that comes up heads 75% of the time and third is an unbiased coin. One of the three coins is chosen at random and tossed, it shows heads, what is the probability that it was the two headed coin ?
cbse
class12
bookproblem
ch13
sec3
q6
p556
sec-b
easy
modelpaper
2012
q24
math
jeemain
probability
asked
Dec 18, 2012
by
thanvigandhi_1
1
answer
Integrate the function: $\int \frac{\large 2cos\: x-3sin\: x}{\large 6cos\: x+4sin\: x}$
cbse
class12
bookproblem
ch7
sec2
q24
p305
sec-b
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
$\Large \int \normalsize\frac{\large e^x(1+x)}{\large \cos^2(e^xx)}dx$ equals
cbse
class12
bookproblem
ch7
sec3
q24
p307
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Choose the correct answer in $\Large \int \normalsize\frac{\large dx}{\large x^2+2x+2}$ equals
cbse
class12
bookproblem
ch7
sec4
q24
p316
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Choose the correct answer in $\int e^x\sec x(1+\tan x)\;dx$ equals
cbse
class12
bookproblem
ch7
sec6
q24
p328
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Integrate the function\[\int\frac{\sqrt{x^2+1}[log(x^2+1)-2logx]}{x^4}\]
cbse
class12
bookproblem
ch7
misc
q24
p353
sec-b
difficult
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Choose the correct answer in the points on the curve \(9y^2 = x^3\), where the normal to the curve makes equal intercepts with the axes are
cbse
class12
bookproblem
ch6
misc
q24
p244
sec-b
easy
math
asked
Nov 28, 2012
by
thanvigandhi_1
1
answer
If p stands for the statement “Sita likes reading” and q for the statement “Sita likes playing’ what does ∼p ∧ ∼ q stand for?
tnstate
class12
bookproblem
ch9
sec1
exercise9-1
p161
q24
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Show that the right circular cone of least curved surface and given volume has an altitude equal to \(\sqrt 2\) time the radius of the base.
cbse
class12
bookproblem
ch6
sec5
q24
p233
sec-c
easy
math
asked
Nov 27, 2012
by
thanvigandhi_1
1
answer
Find the equations of the tangent and normal to the hyperbola $\large {\frac{x^2}{a^2}} -\large { \frac{y^2}{b^2}} =\normalsize 1$ at the $ (x_0, \: y_0)$.
cbse
class12
bookproblem
ch6
sec3
q24
p213
sec-b
medium
math
asked
Nov 24, 2012
by
thanvigandhi_1
1
answer
Determine if $f$ defined by $f(x) = \left\{ \begin{array} {1 1} x^2sin \large\frac{ 1 }{x},\normalsize & \quad\text{ if x \(\neq\) 0 }\\ 0 ,& \quad \text{if $x$ =0}\\ \end{array} \right. $ is a continuous function?
cbse
class12
bookproblem
ch5
sec1
q24
p160
sec-a
easy
math
asked
Nov 10, 2012
by
thanvigandhi_1
1
answer
Page:
« prev
1
...
3
4
5
6
Home
Ask
Tuition
Questions
Practice
Your payment for
is successful.
Continue
...