Email
Chat with tutors
Login
Ask Questions, Get Answers
Menu
X
home
ask
tuition
questions
practice
papers
mobile
tutors
pricing
X
Recent questions tagged q12
Questions
If \( (\cos x)^y = (\sin y)^x \), find \( \large\frac{dy}{dx} \)
cbse
class12
modelpaper
2009
sec-b
q12
math
asked
Dec 29, 2012
by
thanvigandhi_1
0
answers
Solve for \( x : \sin^{-1} (1-x)-2 \sin^{-1}\: x = \large\frac{\pi}{2} \)
cbse
modelpaper
ch2
2012
sec-b
q12
medium
asked
Dec 29, 2012
by
thanvigandhi_1
1
answer
Prove that \( tan^{-1}\: 1 + tan^{-1} \: 2 + tan^{-1} \: 3 = \pi \)
cbse
class12
modelpaper
2011
sec-b
q12
math
asked
Dec 28, 2012
by
thanvigandhi_1
0
answers
Prove that \( tan^{-1} \bigg(\frac{\large 1}{\large 4} \bigg) + tan^{-1} \bigg( \frac{\large 2}{\large 9} \bigg ) = \frac{\large 1}{\large 2} cos^{-1} \bigg( \frac{3}{5} \bigg). \)
cbse
modelpaper
2012
sec-b
q12
ch2
medium
asked
Dec 26, 2012
by
thanvigandhi_1
1
answer
Simplify\( 2\tan^{-1} \bigg(\large \frac{1}{5} \bigg) + \sec^{-1} \bigg( \large\frac{5\sqrt 2}{7} \bigg) + 2\: tan^{-1} \bigg( \frac{1}{8} \bigg) \)
cbse
class12
modelpaper
ch2
2012
sec-b
q12
medium
math
asked
Dec 25, 2012
by
thanvigandhi_1
1
answer
Find the value of $\theta$ satisfying $\begin{bmatrix} 1 & 1 & \sin3\theta \\ -4 & 3 & \cos2\theta \\ 7 & -7 & -2 \end{bmatrix}\;=\;0$
cbse
class12
ch4
sec-b
q12
p78
short-answer
exemplar
difficult
math
asked
Dec 24, 2012
by
sreemathi.v
1
answer
Area bounded by the curve \( y = sinx\: between\: x = 0\: and\: x = 2π\) is \[ \begin{array} (A) 2sq. units \quad & (B) 4 sq. units\\ (C) 8sq. units \quad & (D) 16sq. units \end{array} \]
cbse
class12
modelpaper
2012
sec-a
q12
math
asked
Dec 24, 2012
by
thanvigandhi_1
0
answers
Find the matrix A satisfying the matrix equation $\begin{bmatrix}2 & 1\\3 & 2\end{bmatrix}A\begin{bmatrix}3 & 2\\5 & 3\end{bmatrix}=\begin{bmatrix}1 & 0\\0 & 12\end{bmatrix}$
cbse
class12
ch3
q12
p54
short-answer
exemplar
sec-b
easy
math
asked
Dec 22, 2012
by
sreemathi.v
1
answer
If \( \sin\: y = x\sin (a+y)\), prove that \( \large\frac{dy}{dx} = \frac{\large \sin^2(a+y)}{\large \sin a}. \)
cbse
class12
modelpaper
2009
sec-b
q12
math
asked
Dec 21, 2012
by
thanvigandhi_1
0
answers
Prove the following : $ \tan^{-1}\large\frac{1}{3}$$ + \tan^{-1}\large\frac{1}{5}$$+ \tan^{-1}\large\frac{1}{7}$$+\tan^{-1}\large\frac{1}{8} = \frac{\pi}{4} $
cbse
class12
modelpaper
2008-1
sec-b
q12
math
asked
Dec 20, 2012
by
thanvigandhi_1
0
answers
Let X={1,2,3} and Y={4,5}.Find whether the following subsets of X x Y are functions from X to Y or not.$\quad f=\{(1,4),(1,5),(2,4),(3,5)\} $
cbse
class12
ch1
q12
q12-1
p11
short-answer
exemplar
sec-a
easy
math
asked
Dec 18, 2012
by
sreemathi.v
1
answer
Find the angle between the planes whose vector equations are $ \overrightarrow r. ( 2\hat i + 2\hat j - 3\hat k ) = 5 \: and\: \overrightarrow r. ( 3\hat i - 3\hat j + 5\hat k ) = 3. $
cbse
class12
bookproblem
ch11
sec3
q12
p494
sec-b
easy
math
asked
Dec 14, 2012
by
thanvigandhi_1
1
answer
Find the values of p so that the lines $ \frac{ \large 1 - x }{ \large 3} = \frac{ \large 7y - 14}{ \large 2p} = \frac{ \large z - 3}{ \large 2}\: and \: \frac{ \large 7 - 7x }{ \large 3 \: p} = \frac{ \large y - 5}{ \large 1} = \frac{ \large 6 - z}{ \large 5}$ are at right angles.
cbse
class12
bookproblem
ch11
sec2
q12
p478
medium
sec-b
math
asked
Dec 14, 2012
by
thanvigandhi_1
1
answer
Find the value of \[ \cot \;( \tan^{-1}a + \cot^{-1}a) \]
cbse
class12
bookproblem
ch2
sec2
q12
p48
easy
sec-a
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Find the direction cosines of the vector $\hat i + 2\hat j + 3\hat k$
cbse
class12
bookproblem
ch10
sec2
q12
p440
easy
sec-a
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Find the integral $\int\frac{\large x^3+3x+4}{\large \sqrt x}\;dx$
cbse
class12
bookproblem
ch7
sec1
q12
p299
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
If $ \overrightarrow a . \overrightarrow a = 0$ and $ \overrightarrow a . \overrightarrow b = 0$, then what can be concluded about the vector $\overrightarrow b$?
cbse
class12
bookproblem
ch10
sec3
q12
p448
easy
sec-a
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Integrate the function $(x^3-1)^\frac{1}{3}\;x^5$
cbse
class12
bookproblem
ch7
sec2
q12
p304
sec-a
difficult
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Find the integrals of the functions $\frac{\sin^2x}{1+\cos x}$
cbse
class12
bookproblem
ch7
sec3
q12
p307
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the functions\[\frac{1}{\sqrt{7-6x-x^2}}\]
cbse
class12
bookproblem
ch7
sec4
q12
p316
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the rational functions\[\frac{x^3+x+1}{x^2-1}\]
cbse
class12
bookproblem
ch7
sec5
q12
p322
sec-c
difficult
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Area of a rectangle having vertices $A, B, C$ and $D$ with position vectors $ -\hat i + \large\frac{1}{2}$$ \hat j + 4\hat k, \: \hat i +\large \frac{1}{2}$$ \hat j + 4\hat k, \: \hat i -\large \frac{1}{2}$$ \hat j + 4\hat k$ and $-\hat i -\large \frac{1}{2}$$ \hat j + 4\hat k$ respectively is
cbse
class12
bookproblem
ch10
sec4
q12
p455
medium
sec-b
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
Let \(\overrightarrow a = \hat i + 4 \hat j + 2\hat k, \overrightarrow b = 3\hat i − 2 \hat j + 7\hat k \: and \: \overrightarrow c = 2\hat i − \hat j + 4\hat k \) . Find a vector \( \overrightarrow d\) which is perpendicular to both \(\overrightarrow a\) and \(\overrightarrow b\) , and \( \overrightarrow c ⋅ \overrightarrow d =15\)
cbse
class12
bookproblem
ch10
misc
q12
p348
difficult
sec-b
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
Integrate the function\[x\;\sec^2x\]
cbse
class12
bookproblem
ch7
sec6
q12
p327
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Find the area bounded by curves {(x, y)$ : y\: \geq\: x^2\: and \: y = |\; x\; |$}.
cbse
class12
bookproblem
ch8
misc
q12
p376
sec-b
easy
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Choose the correct answer in area lying in the first quadrant and bounded by the circle $x^2 + y^2 = 4 $ and the lines $x = 0$ and $x = 2$ is
cbse
class12
bookproblem
ch8
sec1
q12
p366
sec-a
easy
math
aims-12-math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Evaluate the definite integral $\begin{align*}\int\limits_0^\frac{\Large \pi}{2}\cos^2xdx \end{align*}$
cbse
class12
bookproblem
ch7
sec9
q12
p338
sec-a
medium
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
By using the properties of definite integrals,evaluate the integral\[\int\limits_0^\pi\frac{x\;dx}{1+\sin x}\]
cbse
class12
bookproblem
ch7
sec11
q12
p347
sec-b
medium
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function $\begin{align*}\int\frac{x^3}{\sqrt{1-x^8}} \end{align*}$
cbse
class12
bookproblem
ch7
misc
q12
p352
sec-a
easy
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
The number of arbitrary constants in the particular solution of a differential equation of third order are
cbse
class12
bookproblem
ch9
sec2
q12
p385
easy
sec-a
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Which of the following differential equations has $y = x$ as one of its particular solution?
cbse
class12
bookproblem
ch9
sec3
q12
p391
easy
sec-a
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Find a particular solution satisfying the given condition $x(x^2-1)\large\frac{dy}{dx}$$=1;y=0\;when\;x=2$
cbse
class12
bookproblem
ch9
sec4
q12
p396
medium
sec-b
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Find the particular solution satisfying the given condition $x^2dy+(xy+y^2)\;dx=0;y=\;1;\;when\;x=\;1$
cbse
class12
bookproblem
ch9
sec5
q12
p406
difficult
sec-b
math
asked
Nov 29, 2012
by
sreemathi.v
1
answer
Find the general solution of the differential equation $(x+3y^2)\large\frac{dy}{dx}=y$$\;(y>0)$
cbse
class12
bookproblem
ch9
sec6
q12
p414
medium
sec-b
math
asked
Nov 29, 2012
by
sreemathi.v
1
answer
Using properties of determinants, prove that: $ \begin{vmatrix} x &x^2 &1 & px^3\\ y &y^2 &1 & py^3\\ z &z^2 &1 & pz^3 \end{vmatrix}= (1+pxyz) (x-z) (y-z)(z-x), $ where p is any scalar.
cbse
class12
bookproblem
ch4
misc
q12
p142
medium
sec-b
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Solve system of linear equations, using matrix method:\[\] \[x-y+z=4\] \[2x+y-3z=0\] \[x+y+z=2\]
cbse
class12
bookproblem
ch4
sec6
q12
p136
difficult
sec-c
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
prove that \[tan^{-1} \left ( \frac {{\sqrt {1+x}}-{\sqrt {1-x}}}{{\sqrt {1+x}}+{\sqrt {1-x}}} \right ) = \frac {\pi}{4} -\frac{1}{2} cos^{-1}x,-\frac{1}{\sqrt2} \leq x \leq 1 \]
cbse
class12
bookproblem
ch2
misc
q11
p52
sec-b
medium
modelpaper
2012
q12
math
asked
Nov 29, 2012
by
vaishali.a
1
answer
\[ \text{Let A = } \begin{bmatrix} 3 & 7 \\ 2 & 5 \end{bmatrix} \text{and B = } \begin{bmatrix} 6 & 8 \\ 7 & 9 \end{bmatrix}. \text{Verify that } (AB^{-1}) = B^{-1}A^{-1}\]
cbse
class12
bookproblem
ch4
sec5
q12
p132
medium
sec-c
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Prove that \[\frac{9 \pi}{8} - \frac{9}{4} sin ^{-1}\frac{1}{3}= \frac{9}{4} sin^{-1}\frac{2\sqrt 2}{3}\]
cbse
class12
bookproblem
ch2
misc
q12
p52
difficult
sec-b
math
asked
Nov 29, 2012
by
vaishali.a
1
answer
Solve the differential equation $\begin{bmatrix}\large\frac{e^{-2\sqrt{x}}}{\sqrt{x}}-\large\frac{y}{\sqrt{x}}\end{bmatrix}\large\frac{dx}{dy}$$=1(x\neq0)$
cbse
class12
bookproblem
ch9
misc
q12
p421
medium
math
sec-b
asked
Nov 29, 2012
by
sreemathi.v
1
answer
The order of the differential equation $2x^2\large\frac{d^2y}{dx^2}$$-3\frac{dy}{dx}$$+y=0\;is$
cbse
class12
bookproblem
ch9
sec1
q12
p383
easy
math
sec-a
asked
Nov 28, 2012
by
sreemathi.v
1
answer
By using the properties of determinants show that \[ \begin{array}{l} \begin{vmatrix} 1&x&x^2 \\ x^2&1&x \\ x&x^2&1 \end{vmatrix} = (1-x^3)^2 \end{array} \]
cbse
class12
bookproblem
ch4
sec2
q12
p121
medium
sec-b
math
asked
Nov 28, 2012
by
balaji.thirumalai
1
answer
Find the value of the following:\[cos^{-1} \frac {1} {2} +2 sin^{-1}\frac {1} {2} \]
cbse
class12
bookproblem
ch2
sec1
q12
p42
medium
sec-b
math
asked
Nov 28, 2012
by
vaishali.a
2
answers
A point on the hypotenuse of a triangle is at distance \(a\) and \(b\) from the sides of the triangle.Show that the maximum length of the hypotenuse is $ (a^{\large\frac{2}{3}} + $$b^{\large\frac{2}{3}})^{\Large\frac{3}{2}}$
cbse
class12
bookproblem
ch6
misc
q12
p243
sec-c
difficult
math
asked
Nov 28, 2012
by
thanvigandhi_1
1
answer
Show that the set $ G = \{2^n / n \in Z\} $ is an abelian group under multiplication.
tnstate
class12
bookproblem
ch9
sec2
exercise9-4
p190
q12
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Suppose we have four boxes A,B,C and D containing coloured marbles as given in the box below. One of the boxes has been selected at random and a single marble is drawn from it. If the marble is red, what is the probability that it was drawn from box A?, box B?, box C? \[\]$\begin{matrix} \text{Box} & &\text{Marble Colour} & \\ &\text{Red} &\text{White} & \text{Black}\\ A & 1 & 6 & 3\\ B & 6 & 2 &2 \\ C & 8 & 1 & 1\\ D & 0 & 6 & 4 \end{matrix}$
cbse
class12
bookproblem
ch13
misc
p583
q12
sec-b
difficult
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Find the probability of throwing at most 2 sixes in 6 throws of a single die.
cbse
class12
bookproblem
ch13
sec5
p578
q12
sec-b
medium
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Two numbers are selected at random (without replacement) from the first six positive integers. Let X denote the larger of the two numbers obtained. Find E(X).
cbse
class12
bookproblem
ch13
sec4
p571
q12
sec-b
easy
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
A card from a pack of 52 cards is lost. From the remaining cards of the pack, two cards are drawn and are found to be both diamonds. Find the probability of the lost card being a diamond
cbse
class12
bookproblem
ch13
sec3
p557
q12
sec-b
medium
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Page:
« prev
1
...
5
6
7
8
9
next »
Home
Ask
Tuition
Questions
Practice
Your payment for
is successful.
Continue
...