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Recent questions tagged additionalproblem
Questions
If $x^y\; y^x = 100$, evaluate $\large \frac{dy}{dx}$
cbse
class12
math
additionalproblem
jeemain
limits-continuity-and-differentiability
ch5
sec-a
differentiability
medium
asked
Dec 22, 2013
by
balaji.thirumalai
1
answer
Evaluate: $\large \int \frac {1 + \tan^2 x} {\sqrt (1 - \tan^2 x)}\; $$dx$
integral-calculus
math
cbse
ch7
sec-a
class12
medium
additionalproblem
jeemain
mock
asked
Dec 22, 2013
by
balaji.thirumalai
1
answer
If the following matrix is singular, what is the value of $x: \; \begin{bmatrix} -3& -5 &1 \\ 9 & 14 & 1\\ 7+x&29 & -2 \end{bmatrix}$
cbse
class12
ch4
additionalproblem
easy
sec-a
math
asked
Dec 22, 2013
by
balaji.thirumalai
1
answer
If $\;x\sqrt{1+y}+y\sqrt{1+x}=0, \;$ Evaluate $ \large\frac{dy}{dx}$
class12
cbse
additionalproblem
ch5
easy
sec-a
math
jeemain
limits-continuity-and-differentiability
asked
Dec 22, 2013
by
balaji.thirumalai
1
answer
Evaluate : $\cos\; \large \bigg( \frac{\pi}{2} -$$ \cos^{-1}\; \large\bigg (-\frac{\sqrt 3}{2}\bigg)\bigg)$
cbse
class12
ch2
additionalproblem
sec-a
easy
math
jeemain
inverse-trignometric-functions
trigonometry
asked
Dec 22, 2013
by
balaji.thirumalai
1
answer
$\int \large\frac{(2\sin 2x-\cos x)}{(6-\cos 2x -4\sin x) }$$dx$
math
cbse
xii
ch7
sec-b
difficult
additionalproblem
asked
Sep 12, 2013
by
anonymous
1
answer
Are the points (2, 3, 4), (-1, -2, 1), (5, 8, 7) collinear?
class12
cbse
easy
sec-a
ch11
additionalproblem
math
asked
Jul 20, 2013
by
balaji.thirumalai
1
answer
Suppose X has a binomial distribution $ B\; \large($$6, \large\frac{1}{2})$. What is the most likely outcome and for what value of X, where x = 0, 1, 2, 3, 4, 5, 6?
class12
cbse
ch13
sec5
medium
additionalproblem
sec-a
math
asked
Jun 21, 2013
by
balaji.thirumalai
1
answer
Evaluate: $ \int \limits_{-1}^{3/2} \; \left | x \sin \pi x \right | \; dx $
cbse
class12
additionalproblem
kvquestionbank2012
ch7
sec-c
math
asked
Apr 27, 2013
by
meena.p
1
answer
Using vector method prove that : $d)\;\cos (A+B)=\cos A\cos B+\sin A\sin B$
cbse
class12
additionalproblem
kvquestionbank2012
ch10
q17
q17-d
p36
medium
sec-b
math
asked
Apr 22, 2013
by
sreemathi.v
1
answer
Using vector method prove that : $c)\;\cos (A+B)=\cos A\cos B-\sin A\sin B$
cbse
class12
additionalproblem
kvquestionbank2012
ch10
q17
q17-c
p36
medium
sec-b
math
asked
Apr 22, 2013
by
sreemathi.v
1
answer
Using vector method prove that : $b)\;\sin (A-B)=\sin A\cos B-\cos A\sin B$
cbse
class12
additionalproblem
kvquestionbank2012
ch10
q17
q17-b
p36
medium
sec-b
math
asked
Apr 22, 2013
by
sreemathi.v
1
answer
Draw a rough sketch of the curve $y^2+1=x,x\leq 2$.Find the area enclosed by the curve and the line $x=2$.
isc
class12
modelpaper
2008
sec-a
q6
q6-b
cbse
sec-b
ch8
additionalproblem
math
asked
Apr 15, 2013
by
sreemathi.v
1
answer
Show that the given system of equations are consistent and non infinite number of a solutions $ 2x+3y-z=7 \\ x+2y-z=4 \\ 3x-y+4z=5$
cbse
class12
additionalproblem
ch4
sec-c
math
asked
Apr 10, 2013
by
meena.p
1
answer
Using matrices, solve the following system of equations:$x+\frac{2}{y}+3xz=-1,2x-\frac{4}{y}-3xz=3,3x+\frac{6}{y}-2xz=4$
cbse
class12
additionalproblem
ch4
sec-c
math
asked
Apr 8, 2013
by
meena.p
1
answer
Find the area of the triangle where vertices are $A(11,7),B(5,5)\; and\; C(-1,3)$
cbse
class12
additionalproblem
ch4
sec-b
math
asked
Apr 8, 2013
by
meena.p
1
answer
Solve for $x$ if $\begin{vmatrix} 1 & 4 & 4 \\ 1 & -2 & 1 \\ 1 & 2x & x^2 \end{vmatrix} =0 $
cbse
class12
additionalproblem
ch4
sec-a
math
asked
Apr 8, 2013
by
meena.p
1
answer
Show that $A=\begin{bmatrix} 1 & log_x\;y & log_x\;z \\ log_y\;x & 1 & log_y\;z \\ log_z\;x & log_z\;y & 1 \end{bmatrix}=0$
cbse
class12
additionalproblem
ch4
sec-b
math
asked
Apr 6, 2013
by
meena.p
1
answer
Show that $A=\begin{bmatrix} xc_{r} & xc_{r+1} & xc_{r+2} \\ yc_r & yc_{r+1} & yc_{r+2} \\ zc_r & zc_{r+1} & zc_{r+2} \end{bmatrix}=\begin{bmatrix} xc_{r} & x+1c_{r+1} & x+2c_{r+2} \\ yc_r & y+1c_{r+1} & y+2c_{r+2} \\ zc_r & z+1c_{r+1} & z+2c_{r+2} \end{bmatrix}$
cbse
class12
additionalproblem
ch4
sec-b
math
asked
Apr 5, 2013
by
meena.p
1
answer
Solve the following system of equations by matrix method:x+2y+z=7,x+3z=11,2x-3y=1.
cbse
class12
additionalproblem
ch4
sec-c
math
asked
Apr 5, 2013
by
sreemathi.v
1
answer
Using properties of determinants, evaluate $A=\begin{vmatrix}43 & 1 & 6\\35 & 7 & 4\\17 & 3 &2\end{vmatrix}$
cbse
class12
additionalproblem
ch4
sec-a
math
asked
Apr 5, 2013
by
sreemathi.v
1
answer
Prove that $\begin{vmatrix} (x-2)^2 & (x-1)^2 & x^2 \\ (x-1)^2 & x^2 & (x+1)^2 \\ x^2 & (x+1)^2 & (x+2)^2 \end{vmatrix}=-8$
cbse
class12
additionalproblem
ch4
sec-b
math
asked
Apr 5, 2013
by
meena.p
1
answer
If a,b,c are positive and unequal,show that the value of the determinant $\Delta=\begin{vmatrix}a & b & c\\b & c & a\\c & a & b\end{vmatrix}$ is negative.
cbse
class12
additionalproblem
ch4
sec-c
difficult
math
asked
Apr 5, 2013
by
sreemathi.v
1
answer
The sum of three numbers is 6.If we multiply the third number by 2 and add the first number to the result,we get 7.By adding second and third numbers to three times the first number we get 12.Use determinants to find the numbers.
cbse
class12
additionalproblem
ch4
sec-c
difficult
math
asked
Apr 5, 2013
by
sreemathi.v
1
answer
If A=$\begin{bmatrix}1 & 2& 2\\2 & 1 & 2\\2 & 2&1\end{bmatrix}$ verify that $A^2-4A-5I=0.$
cbse
class12
additionalproblem
ch3
sec-c
easy
math
asked
Apr 4, 2013
by
sreemathi.v
1
answer
The number of all possible matrices of order $2\times 2$ with each entry 0 & 1.\[(A)\;27 \quad(B)\;18\quad(C)\;81\quad(D)\;16\]
cbse
class12
additionalproblem
ch3
sec-a
math
asked
Apr 4, 2013
by
sreemathi.v
1
answer
If A and B are skew symmetric matrices,then prove that ABA is skew symmetric.
cbse
class12
additionalproblem
ch3
sec-a
math
asked
Apr 4, 2013
by
sreemathi.v
1
answer
If $A=\begin{bmatrix}3 & 1\\7 & 5\end{bmatrix}$ find x & y such that $A^2+xI=yA$
cbse
class12
additionalproblem
ch3
sec-c
math
asked
Apr 4, 2013
by
sreemathi.v
1
answer
If A=$\begin{bmatrix}3 & 2\\1 & 1\end{bmatrix}$ find the values of a and b, such that $A^2+aA+bI=0.$
cbse
class12
math
additionalproblem
ch3
sec-a
jeemain
matrices-and-determinants
matrices
easy
asked
Apr 4, 2013
by
sreemathi.v
1
answer
Find $A^{-1}$ if it exists by using elementary transformations where A=$\begin{bmatrix}6 & -3\\-2 & 1\end{bmatrix}$
cbse
class12
additionalproblem
ch3
sec-b
math
asked
Apr 4, 2013
by
sreemathi.v
1
answer
Find the inverse of the following matrices if it exists using elementary operations $\begin{bmatrix}2 & -6\\1 & -2\end{bmatrix}$
cbse
class12
additionalproblem
ch3
sec-c
math
asked
Apr 4, 2013
by
sreemathi.v
1
answer
Find the inverse of the following matrices if it exists using elementary operations $\begin{bmatrix}2 & 5\\1 & 3\end{bmatrix}$
cbse
class12
additionalproblem
ch3
sec-c
math
asked
Apr 4, 2013
by
sreemathi.v
1
answer
Find the transpose of the matrix $\begin{bmatrix}1 & 3\\2 & 6\\5 & -3\end{bmatrix}$
cbse
class12
additionalproblem
ch3
sec-a
math
asked
Apr 4, 2013
by
sreemathi.v
1
answer
If $A=\begin{bmatrix}1 & -1\\2 & 3\end{bmatrix}$ and $B=\begin{bmatrix}2 & 1\\1 & 0\end{bmatrix}$ prove that $(A+B)^2\neq A^2+2AB+B^2$
cbse
class12
additionalproblem
ch3
sec-c
math
asked
Apr 4, 2013
by
sreemathi.v
1
answer
If $A=\begin{bmatrix}0 & 1\\0 &0\end{bmatrix}$ prove that for all $n\in N.(aI+bA)^n=a^nI+na^{n-1}bA.$where I is the identity matrix of order 2.
cbse
class12
additionalproblem
ch3
sec-c
math
asked
Apr 4, 2013
by
sreemathi.v
1
answer
If A=$\begin{bmatrix}cos\theta & -sin\theta\\sin\theta & cos\theta\end{bmatrix}$.Then show that $A^n=\begin{bmatrix}cos n \theta&-sin n\theta\\sin n\theta & cos n\theta\end{bmatrix}$where n is a positive integer.
cbse
class12
additionalproblem
ch3
sec-c
math
asked
Apr 4, 2013
by
sreemathi.v
1
answer
Find matrix X if $X+\begin{bmatrix}2 & 5\\3 & -1\end{bmatrix}=\begin{bmatrix}3 & 4\\2 & 0\end{bmatrix}$
cbse
class12
additionalproblem
ch3
sec-a
math
asked
Apr 4, 2013
by
sreemathi.v
1
answer
Evaluate $\left|\begin{array}{ccc} 1 & \omega^n & \omega^{2n} \\ \omega^{2n} & 1 & \omega^{n} \\ \omega^n & \omega^{2n} & 1 \end{array}\right|$
cbse
class12
additionalproblem
ch4
sec-b
q13
medium
math
asked
Apr 4, 2013
by
meena.p
1
answer
Without expanding evaluate the determinent $\begin{vmatrix} (a^x+a^{-x})^2 & (a^x-a^{-x})^2 & 1 \\ (a^y+a^{-y})^2 & (a^y-a^{-y})^2 & 1 \\ (a^z+a^{-z})^2 & (a^z-a^{-z})^2 & 1 \end{vmatrix}$ where $a>0$ ,and $x,y,z \in R$
cbse
class12
ch4
sec-b
q11
additionalproblem
difficult
math
asked
Apr 3, 2013
by
meena.p
1
answer
Evaluate : $ \begin{vmatrix} 1 & log_ba \\ log_ab & 1 \end{vmatrix}$
cbse
class12
ch4
q4
sec-a
additionalproblem
medium
math
asked
Apr 3, 2013
by
meena.p
1
answer
Let the function $f\;:\;R \rightarrow R$ be defined by$ f(x)=\cos x,\forall \;x\;\in R$. What kind of a function is f?
class12
cbse
ch1
easy
sec-a
additionalproblem
math
asked
Mar 30, 2013
by
balaji.thirumalai
1
answer
Let C be the set of complex numbers. What kind of a mapping defines $f\; :\;C \rightarrow R\;given\;by\;f(z)=|\;z\;|,\forall\; z \in C$?
class12
cbse
ch1
easy
sec-a
additionalproblem
math
asked
Mar 30, 2013
by
balaji.thirumalai
1
answer
Using the property of determinants, evalute: $\begin{vmatrix}x& x+y & x+2y\\x+2y & x & x+y\\x+y & x+2y & x\end{vmatrix}$
cbse
class12
additionalproblem
modelpaper
sec-b
2013
ch4
math
asked
Mar 22, 2013
by
balaji.thirumalai
1
answer
What is the value of $tan\bigg(\frac{1}{2}sin^{-1}\frac{3}{4}\bigg)$
cbse
class12
additionalproblem
modelpaper
2013
sec-b
math
asked
Mar 22, 2013
by
balaji.thirumalai
1
answer
A binary operation $\ast$ on the set $\{0, 1, 2, 3, 4, 5\}$ is defined as
$a * b= \left\{ \begin{array}{1 1} a+b & \quad if\;a+b < 6\\ a+b-6 & \quad if a+b \geq 6 \end{array} \right.$
ch1
cbse
class12
sec-a
medium
additionalproblem
math
asked
Mar 20, 2013
by
balaji.thirumalai
1
answer
Define a binary operation \(\ast\) on the set \(\{0, 1, 2, 3, 4, 5\}\) as \[ a \ast b = \left\{ \begin{array} {1 1} a+b, & \quad \text{ if a$+$b $<$ 6} \\ a+b-6, & \quad \text{ if a+b $\geq$ 6} \\ \end{array} \right. \] Zero is the identity for this operation. True or False?
ch1
cbse
class12
sec-a
easy
additionalproblem
math
asked
Mar 20, 2013
by
balaji.thirumalai
1
answer
True or False: The function $f$ has an inverse: $ f:{1,2,3,4,}\to{10}$ with $f={(1,10),(2,10),(3,10),(4,10)}$
cbse
class12
additionalproblem
ch1
easy
sec-a
math
asked
Mar 19, 2013
by
balaji.thirumalai
1
answer
The function $g: \{ 5,6,7,8\} \to \{1,2,3,4\}$ is invertible. True or False?
class12
cbse
ch1
additionalproblem
easy
sec-a
math
asked
Mar 19, 2013
by
balaji.thirumalai
1
answer
The following function $h: \{2,3,4,5,\} \to \{7,9,11,13\}$ with $ h=\{(2,7),(3,9),(4,11),(5,13) \}$ is invertible. True or False?
cbse
class12
ch1
short-answer
additionalproblem
sec-a
math
asked
Mar 19, 2013
by
balaji.thirumalai
1
answer
What is the value of the function: $\large \frac{1}{4} $$\sin^{-1}\large\frac{2\sqrt 2}{3}$$+\sin^{-1}\large\frac{1}{3} $
cbse
class12
ch2
additionalproblem
easy
sec-b
math
jeemain
trignometry
inverse-trignometric-functions
asked
Mar 14, 2013
by
balaji.thirumalai
1
answer
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