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Recent questions tagged q16
Questions
If A={1,2,3,4},define relations on A which have properties of being:\begin{array}{1 1}(a)\quad reflexive,transitive\;but\;not\;symmetric & \;\\(b)\quad symmetric\; but \;neither\;reflexive\;nor\;transitive & \;\\(c)\quad reflexive,symmetric\;and\;transitive\end{array}
cbse
class12
ch1
q16
p12
exemplar
sec-b
math
asked
Dec 18, 2012
by
sreemathi.v
1
answer
Find the shortest distance between the lines whose vector equations are $ \overrightarrow r = ( \hat i + 2\hat j + 3\hat k) + \lambda ( \hat i - 3\hat j + 2\hat k )$ and $ \overrightarrow r = 4 \hat i + 5\hat j + 6\hat k + \mu (2\hat i + 3\hat j + \hat k )$
cbse
class12
bookproblem
ch11
sec2
q16
p478
medium
sec-c
modelpaper
2012
q22
math
asked
Dec 14, 2012
by
thanvigandhi_1
1
answer
\[ \text{If A = } \begin{bmatrix} 2&1&1 \\ 1& 2 & 1 \\ 1 &1& 2 \end{bmatrix} \] \[ \text{verify that } A^{3} - 6A^{2} + 9A - 4 I = O. \text{ Hence, find } A^{-1}\]
cbse
class12
bookproblem
sec-c
q16
p132
math
asked
Dec 12, 2012
by
sreemathi.v
0
answers
Find the values of \[ sin^{-1} \bigg( sin \frac{2\pi}{3} \bigg) \]
cbse
class12
bookproblem
ch2
sec2
q16
p48
easy
sec-a
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Find the position vector of the mid point of the vector joining the points $P(2, 3, 4)$ and $Q(4, 1, –2)$.
cbse
class12
bookproblem
ch10
sec2
q16
p441
easy
sec-a
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Find the integral $\int(2x-3cos\: x+e^x)\;dx$
cbse
class12
bookproblem
ch7
sec1
q16
p299
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Show that the points A(1, 2, 7), B(2, 6, 3) and C(3, 10, –1) are collinear.
cbse
class12
bookproblem
ch10
sec3
q16
p448
easy
sec-b
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Integrate the function $e^{2x+3}$
cbse
class12
bookproblem
ch7
sec2
q16
p304
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Find the integrals of the functions $\tan^4x$
cbse
class12
bookproblem
ch7
sec3
q16
p307
sec-b
medium
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the functions\[\frac{4x+1}{\sqrt{2x^2+x-3}}\]
cbse
class12
bookproblem
ch7
sec4
q16
p316
sec-b
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Choose the correct answer if θ is the angle between two vectors $\overrightarrow a$ and $ \overrightarrow b$, then $ \overrightarrow a \: . \: \overrightarrow b\ \: \geq 0$ only when
cbse
class12
bookproblem
ch10
misc
q16
p459
medium
sec-a
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
Integrate the rational functions\[\frac{1}{x(x^n+1)}\] \[Hint:multiply\;numerator\;and\;denominator\;by\;x^{n-1}and\;put\;x^n=t\]
cbse
class12
bookproblem
ch7
sec5
q16
p322
sec-c
difficult
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
If \(cos\: y = x \cos (a + y)\), with $\cos$ \(a \neq \pm 1\), prove that \( \large\frac{dy}{dx}=\frac{\cos^2(a + y)}{\sin \: a}\)
cbse
class12
bookproblem
ch5
misc
q16
p192
sec-b
medium
modelpaper-2014
q21
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Integrate the function\[e^x(\sin x+\cos x)\]
cbse
class12
bookproblem
ch7
sec6
q16
p328
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Choose the correct answer in the area bounded by the curve $ y = x^3$, the $x$ - axis and the ordinates $x = -2$ and $x = 1$ is
cbse
class12
bookproblem
ch8
misc
q16
p376
sec-a
easy
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Evaluate the definite integral $\displaystyle\int\limits_1^2\frac{5x^2}{x^2+4x+3}$
cbse
class12
bookproblem
ch7
sec9
q16
p338
sec-b
difficult
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
By using the properties of definite integrals,evaluate the integral\[\int\limits_0^\pi\; log(1+\cos x)\;dx\]
cbse
class12
bookproblem
ch7
sec11
q16
p347
sec-c
difficult
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function $\int e^{3\log x}(x^4+1)^{-1}$
cbse
class12
bookproblem
ch7
misc
q16
p352
sec-a
easy
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
For the differential equation $xy\large\frac{dy}{dx}=$$(x+2)(y+2),$ find the solution curve passing through the point $(1,-1)$.
cbse
class12
bookproblem
ch9
sec4
q16
p396
medium
sec-b
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
A homogeneous differential equation of the form $\frac{\large dx}{\large dy}=h\bigg(\frac{\large x}{\large y}\bigg)$ can be solved by making the substitution
cbse
class12
bookproblem
ch9
sec5
q16
p406
easy
sec-a
math
asked
Nov 29, 2012
by
sreemathi.v
1
answer
Find the equation of curve passing through the origin given that the slope of the tangent to the curve at any point \((x,y)\) is equal to the sum of the coordinates of the point .
cbse
class12
bookproblem
ch9
sec6
q16
p414
medium
math
sec-b
asked
Nov 29, 2012
by
sreemathi.v
1
answer
Solve the system of equations: $\large \frac{2}{x}+\frac{3}{y}+\frac{10}{z}=$$4.\quad $ $\large \frac{4}{x}-\frac{6}{y}+\frac{5}{z}$$=1.\quad $ $\large \frac{6}{x}+\frac{9}{y}-\frac{20}{z}$$=2.$
cbse
class12
bookproblem
ch4
misc
q16
p142
difficult
sec-c
modelpaper
q23
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
The cost of 4 kg onion, 3 kg wheat and 2 kg rice is Rs 60. The cost of 2 kg onion, 4 kg wheat and 6 kg rice is Rs 90. The cost of 6 kg onion 2 kg wheat and 3 kg rice is Rs 70. Find cost of each item per kg by matrix method.
cbse
class12
bookproblem
ch4
sec6
q16
p137
difficult
sec-c
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Choose the correct answer. If \(\sin^{-1}(1-x) -2 \sin^{-1} x=\large\frac {\pi}{2}, \) then \(x\) is equal to
cbse
class12
bookproblem
ch2
misc
q16
p52
medium
sec-b
math
asked
Nov 28, 2012
by
vaishali.a
1
answer
The general solution of the differential equation $\large\frac{ydx-xdy}{y}$$=0\;is$
cbse
class12
bookproblem
ch9
misc
q16
p421
easy
math
sec-a
asked
Nov 28, 2012
by
sreemathi.v
1
answer
Which of the following is correct:
cbse
class12
bookproblem
ch4
sec2
q16
p121
easy
sec-a
math
asked
Nov 28, 2012
by
balaji.thirumalai
1
answer
Let \(f\) be a function defined on \([a, b]\) such that \(f' (x) > 0\), for all \(x \: \in (a, b)\). Then prove that \(f\) is an increasing function on \((a, b).\)
cbse
class12
bookproblem
ch6
misc
q16
p243
sec-b
medium
math
asked
Nov 28, 2012
by
thanvigandhi_1
1
answer
Let $ A = \{1, 2, 3\}$. Then number of relations containing $(1, 2)\;$ and $\;(1, 3)$ which are reflexive and symmetric but not transitive is
cbse
class12
bookproblem
ch1
misc
q16
p30
sec-a
math
asked
Nov 27, 2012
by
vaishali.a
1
answer
Bag I contains 3 red and 4 black balls and Bag II contains 4 red and 5 black balls. One ball is transferred from Bag I to Bag II and then a ball is drawn from Bag II. The ball so drawn is found to be red in colour. Find the probability that the transferred ball is black.
cbse
class12
bookproblem
ch13
misc
p584
q16
sec-b
easy
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
The mean of the numbers obtained on throwing a die having written 1 on three faces, 2 on two faces and 5 on one face is
cbse
class12
bookproblem
ch13
sec4
p571
q16
sec-a
easy
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
In a hostel, 60% of the students read Hindi news paper, 40% read English news paper and 20% read both Hindi and English news papers. A student is selected at random. (a) Find the probability that she reads neither Hindi nor English news papers. (b) If she reads Hindi news paper, find the probability that she reads English news paper. (c) If she reads English news paper, find the probability that she reads Hindi news paper.
cbse
class12
bookproblem
ch13
sec2
p548
q16
sec-b
easy
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Find two positive numbers whose sum is 16 and the sum of whose cubes is minimum.
cbse
class12
bookproblem
ch6
sec5
q16
p233
sec-a
easy
math
asked
Nov 27, 2012
by
thanvigandhi_1
1
answer
If P (A) = \( \frac{1}{2} \) , P (B) = 0, what is P (A|B) ? \[ \begin{array} ((A) 0 \quad & (B) \frac{1}{2} \\ (C) not\: defined \quad & (D) 1 \end{array} \]
cbse
class12
bookproblem
ch13
sec
q16
p539
math
sec-a
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
if $ A = \begin{bmatrix} 1 & 0 & 2 \\ 0 & 2 & 1 \\ 2 & 0 & 3 \end{bmatrix} ,$ prove that $ A^3 - 6A^2 + 7A + 2I = 0 $
cbse
class12
bookproblem
ch3
sec2
q16
p82
medium
long-answer
sec-c
math
asked
Nov 25, 2012
by
pady_1
1
answer
Show that the tangents to the curve \(y = 7x^3 + 11\) at the points where \(x = 2\) and \(x = -2\) are parallel.
cbse
class12
bookproblem
ch6
sec3
q16
p212
sec-a
easy
math
asked
Nov 24, 2012
by
thanvigandhi_1
1
answer
Using elementary transformations, find the inverse of the matrix if it exists - $ \begin{bmatrix} 1 & 3 & -2 \\ -3 & 0 & -5 \\ 2 & 5 & 0 \end{bmatrix} $
cbse
class12
bookproblem
ch3
sec4
q16
p97
medium
long-answer
sec-c
math
asked
Nov 23, 2012
by
pady_1
1
answer
Prove that the function $f$ given by $f (x) = \log \sin x$ is strictly increasing on$ \left(0, \: \large {\frac{\pi}{2}}\right)$ and strictly decreasing on $\left( \large {\frac{\pi}{2}}, \pi\right)$
cbse
class12
bookproblem
ch6
sec2
q16
p206
sec-a
easy
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
Find the intervals in which the function f given by $f (x) = 2x^3 – 3x^2 – 36 x + 7$ is (a) strictly increasing and (b) strictly decreasing ?
cbse
class12
bookproblem
ch6
sec2
q5
p205
sec-b
easy
modelpaper
2012
q16
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
The total revenue in Rupees received from the sale of $x$ units of a product is given by $ R(x) = 13x^2 + 26x + 15.$ Find the marginal revenue when $x = 7$.
cbse
class12
bookproblem
ch6
sec1
q16
p198
sec-a
easy
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
If \( e^y ( x + 1 ) = 1\), show that \( \large\frac{d^2y}{dx^2} = \left(\frac{dy}{dx}\right)^2\)
cbse
class12
bookproblem
ch5
sec7
q16
p184
sec-b
easy
math
asked
Nov 20, 2012
by
thanvigandhi_1
1
answer
Find the derivative of the function given by $f(x) =( 1 + x )( 1 + x^2) ( 1 + x^4) ( 1 + x^8)$ and hence find $ f' (1).$
cbse
class12
bookproblem
ch5
sec5
q16
p178
easy
sec-b
math
asked
Nov 17, 2012
by
thanvigandhi_1
1
answer
Discuss the continuity of the function $f$, where $f$ is defined by $f(x) = \left\{ \begin{array} {1 1} -2 ,& \quad\text{ if $ x $ \(\leq -1\)}\\ 2x,& \quad\text{ if $ -1 $ < x \(\leq1\)}\\ 2 ,& \quad\text{ if $ x $ > 1}\\ \end{array} \right. $
cbse
class12
bookproblem
ch5
sec1
q16
p160
sec-b
medium
math
asked
Nov 9, 2012
by
thanvigandhi_1
1
answer
Let $R$ be the relation in the set $N$ given by $R=\{(a,b): a=b-2, b>6\}$. Choose the correct answer:
cbse
class12
bookproblem
ch1
sec1
q16
p7
sec-a
easy
math
asked
Nov 8, 2012
by
vaishali.a
1
answer
If O be the origin and the coordinates of P be $(1, 2, – 3)$, then find the equation of the plane passing through P and perpendicular to OP.
cbse
class12
bookproblem
ch11
misc
p499
q16
sec-b
medium
math
asked
Nov 2, 2012
by
balaji.thirumalai
1
answer
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