Email
Chat with tutors
Login
Ask Questions, Get Answers
Menu
X
home
ask
tuition
questions
practice
papers
mobile
tutors
pricing
X
Recent questions tagged q20
Questions
Show that the points \( A(-2\hat i + 3\hat j + 5\hat k), B(i+2j+3k) \: and \: C(7\hat i - \hat k) \) are collinear.
cbse
class12
modelpaper
2012
sec-b
q20
easy
math
asked
Feb 9, 2013
by
thanvigandhi_1
1
answer
If \( \overrightarrow a = \hat i + \hat j + \hat k \: and \: \overrightarrow b = \hat j - \hat k\), then find a vector \( \overrightarrow c\) such that \( \overrightarrow a \) x \( \overrightarrow c = \overrightarrow b\: and \: \overrightarrow a.\overrightarrow c = 3 \)
cbse
class12
modelpaper
2012
sec-b
q20
easy
math
asked
Feb 8, 2013
by
thanvigandhi_1
1
answer
Find the area of triangle having the points as A(1,1,1), B(1,2,3) and C(2,3,1) as its vertices.
cbse
class12
modelpaper
2012
sec-b
q20
medium
math
asked
Feb 6, 2013
by
thanvigandhi_1
1
answer
Find the value of k so that the function f, defined by $ f(x) = \left\{ \begin{array}{l l}kx+1, & \quad if { x \leq \pi } \\ \cos x, & \quad if { x > \pi } \end{array} \right. $ is continuous at \( x=\pi.\)
cbse
class12
modelpaper
2012
sec-b
q20
medium
math
asked
Feb 6, 2013
by
thanvigandhi_1
1
answer
If vectros $ \overrightarrow a = 2\hat i + 2\hat j +3\hat k , \overrightarrow b = -\hat i + 2\hat j +\hat k \: and \: \overrightarrow c = 3\hat i + \hat j $ are such that $( \overrightarrow a +\lambda \overrightarrow b)$ is perpendicular to $( \overrightarrow c )$, then find the value of $( \lambda )$
cbse
class12
modelpaper
2012
sec-b
q20
math
asked
Feb 6, 2013
by
thanvigandhi_1
1
answer
What are the odds in favour of getting a 3 in a throw of die? What are the odds against getting 3?
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q20
p42
math
asked
Feb 5, 2013
by
meena.p
0
answers
Using properties of determinants, solve the following for x : $ \begin{vmatrix} a+x & a-x & a-x \\ a-x & a+x & a-x \\ a-x & a-x & a+x \end{vmatrix} = 0 $
cbse
class12
modelpaper
2012
sec-c
q20
ch4
easy
math
asked
Feb 5, 2013
by
thanvigandhi_1
1
answer
Find the reflection of the point (1,2,-1) in the plane 3x-5y+4z = 5
cbse
class12
additionalproblem
kvquestionbank2012
ch11
q20
p38
math
asked
Feb 5, 2013
by
meena.p
0
answers
Prove that the perpendicular bisectors of a triangle are concurrent.
cbse
class12
additionalproblem
kvquestionbank2012
ch10
q20
p36
difficult
sec-b
math
asked
Feb 5, 2013
by
meena.p
1
answer
Using vectors, find the area of the triangle with vertices A(1,1,2), B(2,3,5) and C(1,5,5).
cbse
class12
modelpaper
2012
sec-b
q20
math
asked
Feb 5, 2013
by
thanvigandhi_1
0
answers
When the interest is compounded continuously, the amount of money invested increases at a rate proportional to its size. If Rs.1000 is invested at 10% compounded continuously, in how many years will the original investment double itself?
cbse
class12
additionalproblem
kvquestionbank2012
ch9
q20
p34
sec-c
math
asked
Feb 4, 2013
by
meena.p
0
answers
Using properties of determinants, prove the following : $ \begin{vmatrix} x & y & z \\ x^2 & y^2 & z^2 \\ x^3 & y^3 & z^3 \end{vmatrix} = xyz(x-y)(y-z)(z-x) $
cbse
class12
modelpaper
2012
sec-b
q20
medium
math
asked
Feb 4, 2013
by
thanvigandhi_1
1
answer
Find the area of the smaller region bounded by the ellipse $ \Large\frac{x^2}{a^2}+\frac{y^2}{b^2}$=1 and the straight line $ \Large\frac{x}{a}+\frac{y}{b}$=1
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q20
p32
math
asked
Feb 4, 2013
by
meena.p
0
answers
Find a unit vector perpendicular to each of the vectors \( \overrightarrow a+\overrightarrow b \: and \: \overrightarrow a-\overrightarrow b\), where \( \overrightarrow a=3\hat i+2\hat j +2 \hat k \) and \( \overrightarrow b = \hat i + 2\hat j -2\hat k.\)
cbse
class12
modelpaper
2012
sec-b
q20
math
asked
Feb 4, 2013
by
thanvigandhi_1
0
answers
The scalar product of the vector \( \hat i + 2\hat j + 4\hat k \) with a unit vector along the sum of vectors \( \hat i + 2\hat j + 3\hat k \) and \( \lambda \hat i + 4\hat j - 5\hat k \) is equal to one. Find the value of \( \lambda \).
cbse
class12
modelpaper
2012
sec-b
q20
math
asked
Feb 4, 2013
by
thanvigandhi_1
0
answers
Find a vector in the direction of vectors \( 5\hat i - \hat j + 2\hat k\) which has magnitude 8 units.
cbse
class12
modelpaper
2012
sec-b
q20
math
asked
Feb 4, 2013
by
thanvigandhi_1
0
answers
The dot products of a vector with the vectors \( \hat i - 3\hat k, \hat i - 2\hat k \) and \( \hat i + \hat j + 4\hat k\) are 0,5 and 8 respectively. Find the vector.
cbse
class12
modelpaper
2012
sec-b
q20
math
asked
Feb 3, 2013
by
thanvigandhi_1
0
answers
Show that each of the given three vectors is a unit vector. \( \frac{1}{7} (2\hat i + 3\hat j + 6\hat k), \frac{1}{7} (3\hat i - 6\hat j + 2\hat k), \frac{1}{7} (6\hat i + 2\hat j - 36\hat k). \)Also, show that they are mutually perpendicular to each other.
cbse
class12
modelpaper
2012
sec-b
q20
math
asked
Feb 2, 2013
by
thanvigandhi_1
0
answers
$\Large\int \frac {dx}{(2-x)\sqrt{1+x}}=$\[(a)\;2\tan^{-1}\sqrt {1+x}\qquad (b)\;\frac{1}{2}\tan^{-1}\sqrt{1+x}\qquad(c)\;\tan^{-1}\sqrt {1+x}\qquad(d)\;log\bigg\{ \normalsize (2+x)\sqrt{1+x}\bigg\}\]
cbse
class12
additionalproblem
kvquestionbank2012
ch7
q20
p25
math
asked
Feb 1, 2013
by
meena.p
0
answers
Solve the differential equation : $ (x^2+xy)dy=(x^2+y^2)dx$
cbse
class12
modelpaper
2012
sec-b
q20
math
asked
Jan 31, 2013
by
thanvigandhi_1
0
answers
Solve the differential equation : $ (x^2-1)\large\frac{dy}{dx}$$+2xy=\large\frac{1}{x^2-1} $
cbse
class12
modelpaper
2012
sec-b
q20
math
asked
Jan 31, 2013
by
thanvigandhi_1
0
answers
A card from the pack of 52 cards is lost from the remaining cards of the pack, two cards are drawn and are found to be both diamonds. (i) Find the probability of lost card being a diamond.(ii)While playing in the ground you found a purse containing rupees and some documents,what will you do?
cbse
class12
modelpaper
2012
sec-b
q20
math
asked
Jan 31, 2013
by
thanvigandhi_1
0
answers
Find the equation of the line which is perpendicular from the point (3,-1,1) to the line \( \large\frac{x}{2}=\frac{y-2}{3}=\frac{z-3}{4}\) Also find the foot of perpendicular and the length of the perpendicular.
cbse
class12
modelpaper
2012
sec-b
q20
math
asked
Jan 30, 2013
by
thanvigandhi_1
0
answers
If \( \overrightarrow a,\overrightarrow b \: and \overrightarrow c \)are three mutually perpendicular vectors of equal magnitude, prove that the angle which \( (\overrightarrow a+\overrightarrow b+\overrightarrow c)\) makes with any of the vectors \( \overrightarrow a, \overrightarrow b \: or \overrightarrow c\) is \( \cos^{-1}\large\frac{1}{\sqrt3}.\)
cbse
class12
modelpaper
2012
sec-b
q20
math
asked
Jan 29, 2013
by
thanvigandhi_1
0
answers
The tangents to the curve $ y=x^3+6 $ at the points (-1,5) and (1,7) are \[(a)\;Perpendicular\qquad(b)\;parallel\qquad(c)\;coincident\qquad(d)\;none\; of\; these\]
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q20
p17
math
asked
Jan 29, 2013
by
meena.p
0
answers
If the vectors $a\hat{i} + a\hat{j} + c\hat{k}$. $\hat{i} + \hat{k}$ and $c\hat{i} + c\hat{j} + b\hat{k}$ be coplanar, show that $c^2$ = ab
cbse
class12
modelpaper
2005
sec-b
q20
math
asked
Jan 28, 2013
by
fingeazy
0
answers
Let \( \overrightarrow a = \hat i + \hat j,\overrightarrow b = \hat i - \hat j \: and \: \overrightarrow c = \hat i + 2\hat j + 3\hat k,\) if \( n \) is unit vector such that \( \overrightarrow a.\overrightarrow n=0 \: and \: \overrightarrow b.\overrightarrow n=0,\) then show that \( \overrightarrow c.\overrightarrow n=3.\)
cbse
class12
modelpaper
2012
sec-b
q20
math
asked
Jan 28, 2013
by
thanvigandhi_1
0
answers
Show that the points with position vectors are given by \( 2\hat i - \hat j + \hat k, \hat i - 3\hat j - 5\hat k\) and \( 3\hat i - 4\hat j - 4\hat k\) from a right-angled triangle.
cbse
class12
modelpaper
2012
sec-b
q20
math
asked
Jan 28, 2013
by
thanvigandhi_1
0
answers
Find a vector of magnitude 15 which is perpendicular to both the vectors \( 4\hat i - \hat j + 8\hat k \) and \( - \hat j + \hat k\)
cbse
class12
modelpaper
2012
sec-b
q20
math
asked
Jan 27, 2013
by
thanvigandhi_1
0
answers
The function $ \Large\frac{log(1+ax)-log(1-bx)}{x}$ is not defined at x = 0. Find the value of f(x) so that f(x) is continuous at x = 0.
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q20
p12
medium
sec-a
math
asked
Jan 25, 2013
by
meena.p
1
answer
If \( \overrightarrow a \) x \( \overrightarrow b = \overrightarrow c \) x \( \overrightarrow d\) and \( \overrightarrow a\) x \( \overrightarrow c = \overrightarrow b \) x \( \overrightarrow d\) show that \( \overrightarrow a-\overrightarrow d\) is parallel to \( \overrightarrow b-\overrightarrow c\), where \( \overrightarrow a \neq \overrightarrow d\: and \: \overrightarrow b \neq \overrightarrow c.\)
cbse
class12
modelpaper
2012
sec-b
q20
math
asked
Jan 25, 2013
by
thanvigandhi_1
0
answers
Find the value of \( \lambda \), so that the two vectors \( 2\hat i + 4\hat j - 2\hat k \: and \: 3\hat i + 6\hat j - \lambda \hat k\) are (i) parallel (ii) perpendicular to each other.
cbse
class12
modelpaper
2012
sec-b
q20
math
asked
Jan 24, 2013
by
thanvigandhi_1
0
answers
If $ A=\begin{bmatrix} 1& 1 & 1 \\ 1& 1 & 1 \\ 1& 1 & 1 \end{bmatrix}$ then prove that $ A^n=\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
additionalproblem
kvquestionbank2012
ch3
q20
p8
math
sec-b
asked
Jan 24, 2013
by
meena.p
0
answers
Two tailors A and B earn Rs.150 and Rs.200 per day respectively. A can stitch 6 shirts and 4 plants per day while B can stitch 10 shirts and 4 pants per day. Form a linear programming problem to minimize the labour cost to produce at lest 60 shirts and 32 pants.
cbse
class12
modelpaper
2005
sec-c
q20
math
asked
Jan 24, 2013
by
fingeazy
0
answers
Prove: $\cos^{-1}x-\cos^{-1}y=\cos^{-1}\bigg[xy+\sqrt{1-x^2}.\sqrt{1-y^2}\bigg]$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q20
p6
easy
sec-b
math
asked
Jan 24, 2013
by
meena.p
1
answer
If \( (cos\: x)^{\Large y }= (cos\: y)^{\Large x}\) find \( \large\frac{dy}{dx}\)
cbse
class12
modelpaper
2012
sec-b
q20
math
asked
Jan 23, 2013
by
thanvigandhi_1
0
answers
If \( \sqrt{1-x^2}+\sqrt{1-y^2}=a(x-y),\) prove that \( \large\frac{dy}{dx}=\frac{\sqrt{1-y^2}}{\sqrt{1-x^2}} \).
cbse
class12
modelpaper
2012
sec-b
q20
math
asked
Jan 23, 2013
by
thanvigandhi_1
0
answers
Let a relation R on the set R of real numbers defined as $(x,y)\; \varepsilon\;R \Leftrightarrow x^24xy+3y^2\;=\;0.$Show that R is reflexive but neither symmetric nor transitive.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q20
p4
math
sec-b
asked
Jan 23, 2013
by
meena.p
0
answers
If \( \overrightarrow a = 4\hat i + 5\hat j - \hat k, \overrightarrow b = \hat i - 4\hat j + 5\hat k, \overrightarrow c = 3\hat i + \hat j - \hat k, \) find a vector \( \overrightarrow d\) , which is perpendicular to both \( \overrightarrow a \: and \: \overrightarrow b \: and \: \overrightarrow d.\overrightarrow c = 21 \).
cbse
class12
modelpaper
2012
sec-b
q20
math
asked
Jan 22, 2013
by
thanvigandhi_1
0
answers
Prove by vector method \( \cos(A+B) = \cos A \cos B - \sin A \sin B\)
cbse
class12
modelpaper
2012
sec-b
q20
math
asked
Jan 21, 2013
by
thanvigandhi_1
0
answers
Solve: $2(y+3)-xy\Large\frac{dy}{dx}\normalsize =0,$given that $y(1)=-2$
cbse
class12
ch9
sec-b
q20
p194
short-answer
exemplar
math
asked
Jan 18, 2013
by
sreemathi.v
1
answer
The position vector of the point which divides the join of points $2\overrightarrow{a}-3\overrightarrow{b}$ and $\overrightarrow{a}+\overrightarrow{b}$ in the ratio 3:1 is
cbse
class12
ch10
q20
p217
exemplar
easy
sec-a
math
asked
Jan 17, 2013
by
sreemathi.v
1
answer
Let \( \overrightarrow a = 2\hat i + \hat k, \overrightarrow b = \hat i + \hat j + \hat k\) and \( \overrightarrow c = 4\hat i - 3\hat j + 7\hat k\) be three vectors. Find a vector \( \overrightarrow r \) which satisfies \( \overrightarrow r\) x \( \overrightarrow b = \overrightarrow c \) x \( \overrightarrow b\) and \( \overrightarrow r. \overrightarrow a =0.\)
cbse
class12
modelpaper
2012
sec-b
q20
math
asked
Jan 17, 2013
by
thanvigandhi_1
0
answers
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
If \( \overrightarrow a = 4\hat i + 2\hat j - \hat k \: and \: \overrightarrow b = 5\hat i + 2\hat j - 3\hat k\), find the angle between \( \overrightarrow a + \overrightarrow b \: and \: \overrightarrow a - \overrightarrow b\).
cbse
class12
modelpaper
2012
sec-b
q20
math
asked
Jan 16, 2013
by
thanvigandhi_1
0
answers
Evaluate the following $\int\sqrt {2ax-x^2}dx$
cbse
class12
ch7
q20
p164
exemplar
short-answer
sec-a
difficult
math
asked
Jan 14, 2013
by
sreemathi.v
1
answer
Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are \( \hat i +2\hat j - \hat k \: and \: -\hat i + \hat j + \hat k\) respectively in the ratio 2 : 1 (i) internally (ii) externally
cbse
class12
modelpaper
2012
sec-b
q20
math
asked
Jan 14, 2013
by
thanvigandhi_1
0
answers
Find the magnitude of two vectors $ \overrightarrow a \: and \overrightarrow b $ having the same magnitude and such that the angle between them is $ 60^{\circ} $ and their scalar product is $\large\frac{1}{2}$.
cbse
class12
modelpaper
2012
sec-b
q20
math
asked
Jan 11, 2013
by
thanvigandhi_1
0
answers
Show that $f(x)=2x+\cot^{-1}x+log\bigg(\sqrt {(1+x^2)}-x\bigg)$ is increasing in R.
cbse
class12
ch6
q20
p136
short-answer
exemplar
difficult
sec-b
math
asked
Jan 11, 2013
by
sreemathi.v
1
answer
Show that the points A, B and C with position vectors \( \overrightarrow a = 3\hat i - 4\hat j - 4\hat k, \overrightarrow b = 2\hat i - \hat j + 4\hat k \: and \: \overrightarrow c = \hat i - 3\hat j - 5\hat k,\) respectively, form the vertices of a right angled triangle.
cbse
class12
modelpaper
2012
sec-b
q20
math
asked
Jan 9, 2013
by
thanvigandhi_1
0
answers
Page:
« prev
1
2
3
4
5
6
next »
Home
Ask
Tuition
Questions
Practice
Your payment for
is successful.
Continue
...