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Recent questions tagged q17
Questions
Find the value of the expression in \[ tan^{-1} \bigg( tan \frac{3\pi}{4} \bigg) \]
cbse
class12
bookproblem
ch2
sec2
q17
p48
easy
sec-a
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Show that the points A, B and C with position vectors, \( \overrightarrow a = 3\hat i − 4\hat j − 4\hat k, \overrightarrow b = 2\hat i − \hat j + \hat k\) and \( \overrightarrow c = \hat i − 3\hat j − 5\hat k\) , respectively form the vertices of a right angled triangle.
cbse
class12
bookproblem
ch10
sec2
q17
p441
medium
sec-b
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Find the integral $\int(2x^2-3sin\: x+5\sqrt x)\;dx$
cbse
class12
bookproblem
ch7
sec1
q17
p299
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Show that the vectors \(2\hat i - \hat j + \hat k, \: \hat i - 3\hat j - 5\hat k\) and \(3\hat i - 4\hat j - 4\hat k\) form the vertices of a right angled triangle.
cbse
class12
bookproblem
ch10
sec3
q17
p448
medium
sec-b
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Integrate the function $\frac{\large x}{\large e^{x^2}}$
cbse
class12
bookproblem
ch7
sec2
q17
p304
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Find the integrals of the functions $\frac{\sin^3x+\cos^3x}{\sin^2x\cos^2x}$
cbse
class12
bookproblem
ch7
sec3
q17
p307
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the functions\[\frac{x+2}{\sqrt{x^2-1}}\]
cbse
class12
bookproblem
ch7
sec4
q17
p316
sec-b
medium
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Choose the correct answer in the following : let \( \overrightarrow a\) and \( \overrightarrow b\) be two unit vectors and θ is the angle between them. Then \( \overrightarrow a\ + \overrightarrow b\) is a unit vector if
cbse
class12
bookproblem
ch10
misc
q17
p459
easy
sec-b
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
Integrate the rational functions $\frac{\cos x}{(1-\sin x)(2-\sin x)}\qquad[Hint:Put\;\sin x=t]$
cbse
class12
bookproblem
ch7
sec5
q17
p322
sec-c
medium
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
If \(x = a (\cos t + t\sin t)\) and \(y = a (\sin t - t \cos\: t)\), find \( \large\frac{d^2y}{dx^2}\)
cbse
class12
bookproblem
ch5
misc
q17
p192
sec-b
medium
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Integrate the function $\;\int\;\frac{xe^x}{(1+x)^2}$
cbse
class12
bookproblem
ch7
sec6
q17
p328
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Choose the correct answer in the the area bounded by the curve $y = x |\; x\; | ,\; x$ - axis and the ordinates $x = -1$ and $x = 1$ is given by [Hint : $y = x^2$ if $x > 0$ and $y = -x^2$ if $x < 0$].
cbse
class12
bookproblem
ch8
misc
q17
p376
sec-a
medium
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Evaluate the definite integral\[\int\limits_0^\frac{\large\pi}{4}(2\sec^2x+x^3+2)dx\]
cbse
class12
bookproblem
ch7
sec9
q17
p338
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
By using the properties of definite integrals,evaluate the integral $\begin{align*}\int\limits_0^a\frac{\sqrt x}{\sqrt x+\sqrt{a-x}}dx \end{align*}$
cbse
class12
bookproblem
ch7
sec11
q17
p347
sec-a
easy
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function\[\int f'(ax+b)[f(ax+b)]^n\]
cbse
class12
bookproblem
ch7
misc
q17
p352
sec-b
easy
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Find the equation of a curve passing through the point (0,-2) given that at any point (x,y) on the curve,the product of the slope of its tangent and y coordinate of the point is equal to the x coordinate of the point.
cbse
class12
bookproblem
ch9
sec4
q17
p396
easy
sec-a
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Which of the following is a homogeneous differential equation?
cbse
class12
bookproblem
ch9
sec5
q17
p407
sec-a
easy
math
asked
Nov 29, 2012
by
sreemathi.v
1
answer
Find the equation of curve passing through the point(0,2) given that the sum of the coordinates of any point on the curve exceeds the magnitude of the slope of the tangent to the curve at that point by 5
cbse
class12
bookproblem
ch9
sec6
q17
p414
math
sec-a
asked
Nov 29, 2012
by
sreemathi.v
1
answer
Choose the correct answer. If a, b, c, are in A.P, then the determinant $\begin{vmatrix} x+2 & x+3 &x+2a \\ x+3 & x+4 &x+2b \\ x+4 & x+5 &x+2c \end{vmatrix}$ is: \[\] $(A)\;0 \hspace{20 mm} (B)\;1 \hspace{20 mm} (C)\; x \hspace{20 mm} (D)\; 2x $
cbse
class12
bookproblem
ch4
misc
q17
p143
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Let $A$ be a nonsingular square matrix of order $3 \times 3.$ Then $| adj \;A| $ is equal to:
cbse
class12
bookproblem
ch4
sec5
q17
p132
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
What is the value of: \[tan^{-1} \bigg( \frac {x}{y} \bigg) -tan^{-1} \frac {x-y}{x+y} \]
cbse
class12
bookproblem
ch2
misc
q17
p52
medium
sec-b
math
asked
Nov 28, 2012
by
vaishali.a
1
answer
The general solution of a differential equation of the type $\large\frac{dx}{dy}$$+p_1x=Q_1\;is$
cbse
class12
bookproblem
ch9
misc
q17
p421
easy
math
sec-a
asked
Nov 28, 2012
by
sreemathi.v
1
answer
Show that the height of the 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
bookproblem
ch6
misc
q17
p243
sec-c
difficult
math
asked
Nov 28, 2012
by
thanvigandhi_1
2
answers
Let $A = \{1, 2, 3\}$. Then number of equivalence relations containing $(1, 2)$ is
cbse
class12
bookproblem
ch1
misc
q17
p30
sec-a
math
asked
Nov 27, 2012
by
vaishali.a
1
answer
If A and B are two events such that P(A) $\neq$ 0 and P(B | A) = 1 . Then choose the correct answer.
cbse
class12
bookproblem
ch13
misc
p584
q17
sec-a
easy
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Suppose that two cards are drawn at random from a deck of cards. Let X be the number of aces obtained. Then the value of E(X) is ?
cbse
class12
bookproblem
ch13
sec4
p571
q17
sec-a
medium
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Choose the correct answer: The probability of obtaining an even prime number on each die, when a pair of dice is rolled is
cbse
class12
bookproblem
ch13
sec2
p548
q17
sec-a
easy
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
A square piece of tin of side 18 cm is to be made into a box without top, by cutting a square from each corner and folding up the flaps to form the box. What should be the side of the square to be cut off so that the volume of the box is the maximum possible.
cbse
class12
bookproblem
ch6
sec5
q17
p233
sec-c
easy
math
asked
Nov 27, 2012
by
thanvigandhi_1
1
answer
If A and B are events such that P(A|B) = P(B|A), then which of the following is true?
cbse
class12
bookproblem
ch13
sec1
q17
p540
sec-a
easy
concepts
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
If $ A = \begin{bmatrix} 3 & -2 \\ 4 & -2 \end{bmatrix} $ and $ I = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix} $ find $k$ so that $A^2 = kA - 2I$
cbse
class12
bookproblem
ch3
sec2
q17
p82
easy
shortanswer
sec-b
math
asked
Nov 25, 2012
by
pady_1
1
answer
Find the points on the curve $y = x^3$ at which the slope of the tangent is equal to the $y$ - coordinate of the point.
cbse
class12
bookproblem
ch6
sec3
q17
p212
sec-b
medium
math
asked
Nov 24, 2012
by
thanvigandhi_1
1
answer
Using elementary transformations, find the inverse of the matrix if it exists - $ \begin{bmatrix} 2 & 0 & -1 \\ 5 & 1 & 0 \\ 0 & 1 & 3 \end{bmatrix} $
cbse
class12
bookproblem
ch3
sec4
q17
p97
medium
long-answer
sec-c
math
asked
Nov 23, 2012
by
pady_1
1
answer
Prove that the function \(f\) given by $f (x) = \log \cos\: x$ is strictly decreasing on $ \left(0, \: \large {\frac{\pi}{2}}\right)$ and strictly increasing on, $\left( \large {\frac{\pi}{2},} \normalsize \pi\right)$
cbse
class12
bookproblem
ch6
sec2
q17
p206
sec-a
easy
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
Choose the correct answer in the rate of change of the area of a circle with respect to its radius $r$ at $r = 6$ cm is
cbse
class12
bookproblem
ch6
sec1
q17
p198
sec-a
easy
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
If \( y = ( tan^{-1}x )^2\), show that \( (x^2 + 1 )^2 \: y_2 + 2x (x^2 +1 ) \: y_1 = 2 \)
cbse
class12
bookproblem
ch5
sec7
q17
p184
sec-a
medium
math
asked
Nov 20, 2012
by
thanvigandhi_1
1
answer
Differentiate $ (x^2 - 5x + 8) (x^3 + 7x + 9 ) $ in three ways mentioned below:\begin{array}{1 1} (i)\;by\;using\;product\;rule & \;\\(ii)\;by\;expanding\;the\;product\;to\;obtain\;a\;single\;polynomial. & \;\\ (iii)\;by\;logarithmic\;differentiation. & \;\end{array} Do they all give the same answer?
cbse
class12
bookproblem
ch5
sec5
q17
p178
easy
sec-c
math
asked
Nov 17, 2012
by
thanvigandhi_1
1
answer
Find the relationship between \(a\) and \(b\) so that the function \(f\) defined by $ f(x) = \left\{ \begin{array} {1 1} ax + 1 ,& \quad\text{ if $ x $ \(\leq 3\)}\\ bx + 3,& \quad \text{if $x$ > 3}\\ \end{array} \right. $ is continuous at \(x = 3\).
cbse
class12
bookproblem
ch5
sec1
q17
p160
sec-b
easy
math
asked
Nov 10, 2012
by
thanvigandhi_1
1
answer
Find the equation of the plane which contains the line of intersection of the planes $\hat{r} . (\hat{i} + 2\hat{j} +3\hat{k}) - 4 = 0$ and $\hat{r} . (2\hat{i} + \hat{j} - \hat{k}) + 5 = 0$ and which is perpendicular to the plane $\hat{r} . (5\hat{i} + 3\hat{j} -6\hat{k}) +8 = 0$
cbse
class12
bookproblem
ch11
misc
p499
q17
sec-b
medium
math
asked
Nov 2, 2012
by
balaji.thirumalai
1
answer
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