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Recent questions tagged sec2
Questions
Integrate the function $\sec^2(7-4x)$
cbse
class12
bookproblem
ch7
sec2
q22
p305
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the function $\frac{\large \sin^{-1}x}{\large \sqrt{1-x^2}}$
cbse
class12
bookproblem
ch7
sec2
q23
p305
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the function: $\int \frac{\large 2cos\: x-3sin\: x}{\large 6cos\: x+4sin\: x}$
cbse
class12
bookproblem
ch7
sec2
q24
p305
sec-b
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the function $\int \frac{1}{\cos^2x(1-\tan x)^2}$
cbse
class12
bookproblem
ch7
sec2
q25
p305
sec-a
medium
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the function$\frac{\cos\sqrt x}{\sqrt x}$
cbse
class12
bookproblem
ch7
sec2
q26
p305
sec-a
medium
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the function\[\sqrt{\sin2x}\cos2x\]
cbse
class12
bookproblem
ch7
sec2
q27
p305
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the function\[\frac{\cos x}{\sqrt{1+\sin x}}\]
cbse
class12
bookproblem
ch7
sec2
q28
p307
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the function\[\cot x\;log \sin x\]
cbse
class12
bookproblem
ch7
sec2
q29
p305
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the function $\frac{\sin x}{1+\cos x}$
cbse
class12
bookproblem
ch7
sec2
q30
p305
sec-b
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the function $\frac{\sin x}{(1+\cos x)^2}$
cbse
class12
bookproblem
ch7
sec2
q31
p305
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the function $\frac{1}{1+\cot x}$
cbse
class12
bookproblem
ch7
sec2
q32
p305
sec-b
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the function $\frac{1}{1-\ tanx}$
cbse
class12
bookproblem
ch7
sec2
q33
p305
sec-b
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the function $\frac{\sqrt{\tan x}}{\sin x\cos x}$
cbse
class12
bookproblem
ch7
sec2
q34
p305
sec-b
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the function $\frac{(1+log\: x)^2}{x}$
cbse
class12
bookproblem
ch7
sec2
q35
p305
sec-a
easy
modelpaper
2012
q6
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the function $\frac{(x+1)(x+log\: x)^2}{x}$
cbse
class12
bookproblem
ch7
sec2
q36
p305
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the function $\frac{x^3\sin\bigg(\tan^{-1}x^4\bigg)}{1+x^8}$
cbse
class12
bookproblem
ch7
sec2
q37
p305
sec-b
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Choose the correct answer in $\Large \int \normalsize \frac{10x^9+10^xlog_{e^{10}}dx}{x^{10}+{10}^x}$ equals
cbse
class12
bookproblem
ch7
sec2
q38
p305
easy
sec-a
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Choose the correct answer in $\Large \int \normalsize\frac{dx}{\sin^2x\cos^2x}$ equals
cbse
class12
bookproblem
ch7
sec2
q39
p307
easy
sec-a
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Find the area of the circle $4x^2 + 4y^2 = 9$ which is interior to the parabola $x^2 = 4y$.
cbse
class12
bookproblem
ch8
sec2
q1
p371
sec-c
medium
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Find the area bounded by curves $(x - 1)^2 + y^2 = 1$ and $x^2 + y^2 = 1$.
cbse
class12
bookproblem
ch8
sec2
q2
p371
sec-c
medium
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Find the area of the region bounded by the curves \(y = x^2 + 2, y = x, \: x = 0\) and \(x = 3.\)
cbse
class12
bookproblem
ch8
sec2
q3
p371
sec-b
easy
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Using integration find the area of region bounded by the triangle whose vertices are $(-1, 0), (1, 3) $ and $(3, 2)$.
cbse
class12
bookproblem
ch8
sec2
q4
p371
sec-c
difficult
math
asked
Dec 4, 2012
by
thanvigandhi_1
2
answers
Using integration find the area of the triangular region whose sides have the equations \(y = 2x + 1, y = 3x + 1\) and \(x = 4.\)
cbse
class12
bookproblem
ch8
sec2
q5
p371
sec-b
easy
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Choose the correct answer in the smaller area enclosed by the circle \(x^2 + y^2 = 4\) and the line \(x + y = 2\) is \[ \begin{array}{1} (A)\;2(\pi - 2) \qquad & (B)\;\pi - 2 \qquad &(C)\;2\pi - 1 \qquad & (D)\;2 ( \pi + 2) \end{array} \]
cbse
class12
bookproblem
ch8
sec2
q6
p372
sec-b
medium
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Choose the correct answer in the area lying between the curves \(y^2 = 4x\) and \(y = 2x\) is
cbse
class12
bookproblem
ch8
sec2
q7
p372
sec-b
medium
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Verify that the given function(explicit or implicit)is a solution of the corresponding differential equation $y=e^x+1\qquad:\;y''-y'=0$
cbse
class12
bookproblem
ch9
sec2
q1
p385
easy
sec-a
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Verify that the given function(explicit or implicit)is a solution of the corresponding differential equation $y=x^2+2x+C\qquad:\;y'-2x-2=0$
cbse
class12
bookproblem
ch9
sec2
q2
p385
easy
sec-a
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Verify that the given function(explicit or implicit)is a solution of the corresponding differential equation $y=\cos x+C\qquad:y'+\sin x=0$
cbse
class12
bookproblem
ch9
sec2
q3
p385
easy
sec-a
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Verify that the given function(explicit or implicit)is a solution of the corresponding differential equation\[y=\sqrt{1+x^2}\qquad:\;y'\;=\frac{xy}{1+x^2}\]
cbse
class12
bookproblem
ch9
sec2
q4
p385
easy
sec-a
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Verify that the given function(explicit or implicit)is a solution of the corresponding differential equation $y=Ax\qquad:\;xy'\;=\;y\;(x\neq0)$
cbse
class12
bookproblem
ch9
sec2
q5
p385
easy
sec-a
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Verify that the given function(explicit or implicit)is a solution of the corresponding differential equation $y=x\sin x\qquad:xy'=y+x\sqrt{x^2-y^2} (x\neq0\;and\;x>y\;or\;x<-y)$
cbse
class12
bookproblem
ch9
sec2
q6
p385
easy
sec-a
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Verify that the given function(explicit or implicit)is a solution of the corresponding differential equation $xy=\log\: y+C\qquad:y'=\large\frac{y^2}{1-xy}$$\;(xy\neq1)$
cbse
class12
bookproblem
ch9
sec2
q7
p385
easy
sec-a
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Verify that the given function(explicit or implicit)is a solution of the corresponding differential equation $y-\cos y=x\qquad:\;(y\sin y+\cos y+x)y'=y$
cbse
class12
bookproblem
ch9
sec2
q8
385
medium
sec-a
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Verify that the given function (explicit or implicit) is a solution of the corresponding differential equation
cbse
class12
bookproblem
ch9
sec2
q9
p385
medium
sec-a
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Verify that the given function(explicit or implicit)is a solution of the corresponding differential equation $y=\sqrt{a^2-x^2}\;x\in\;(-a,a):\;x+y\;\large\frac{dy}{dx}$$=0(y\neq0)$
cbse
class12
bookproblem
ch9
sec2
q10
p385
easy
sec-a
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
The number of arbitrary constants in the general solution of a differential equation of fourth order are
cbse
class12
bookproblem
ch9
sec2
q11
p385
easy
sec-a
math
asked
Nov 30, 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
Find the vector and the cartesian equations of the line that passes through the points $(3, -2, -5), (3, -2, 6).$
cbse
class12
bookproblem
ch11
sec2
p478
q9
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Find the vector and the cartesian equations of the lines that passes through the origin and $(5, -2, 3).$
cbse
class12
bookproblem
ch11
sec2
p477
q8
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
The cartesian equation of a line is $\frac{\large x-5}{\large 3} = \frac{\large y+4}{\large 7} = \frac{\large z-6}{\large 2}$. Write its vector form.
cbse
class12
bookproblem
ch11
sec2
p477
q7
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Find the cartesian equation of the line which passes through the point (-2, 4, -5) and parallel to the line given by $\frac{\large x+3}{\large 3} = \frac{\large y-4}{\large 5} = \frac{\large z+8}{\large 6}$.
cbse
class12
bookproblem
ch11
sec2
p477
q6
medium
sec-b
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Find the equation of the line in vector and in cartesian form that passes through the point with position vector $2\hat{ i}- \hat{j} + 4\hat{k}$ and is in the direction$\hat{i} + 2\hat{j} - \hat{k}$.
cbse
class12
bookproblem
ch11
sec2
p477
q5
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Find the equation of the line which passes through the point $(1, 2, 3)$ and is parallel to the vector $3\hat{i} + 2\hat{j} -2\hat{k}$. .
cbse
class12
bookproblem
ch11
sec2
p477
q4
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Show that the line through the points $(4, 7, 8), (2, 3, 4)$ is parallel to the line through the points $(-1, -2, 1), (1, 2, 5)$
cbse
class12
bookproblem
ch11
sec2
p477
q3
easy
sec-b
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Show that the line through the points (1, -1, 2), (3, 4, -2) is perpendicular to the line through the points (0, 3, 2) and (3, 5, 6).
cbse
class12
bookproblem
ch11
sec2
p477
q2
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Show that the three lines with direction cosines $\large \frac{12}{13}, \frac{-3}{13}, \frac{-4}{13}; \;\; \frac{4}{13}, \frac{12}{13}, \frac{3}{13}; \;\; \frac{3}{13}, \frac{-4}{13}, \frac{12}{13}$ are mutually perpendicular.
cbse
class12
bookproblem
ch11
sec2
p477
q1
easy
sec-b
math
asked
Nov 29, 2012
by
balaji.thirumalai
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 $A$ be a square matrix of order $3 \times 3$, then $ |kA|$ is equal to:
cbse
class12
bookproblem
ch4
sec2
q15
p121
easy
sec-a
math
asked
Nov 28, 2012
by
balaji.thirumalai
1
answer
By using the properties of determinants show that \[ \begin{array}{l} \begin{vmatrix} a^2+1&ab&ac \\ ab&b^2+1&bc \\ ca&cb&c^2+1 \end{vmatrix} = 1+a^2+b^2+c^2 \end{array} \]
cbse
class12
bookproblem
ch4
sec2
q14
p121
medium
sec-b
math
asked
Nov 28, 2012
by
balaji.thirumalai
1
answer
By using the properties of determinants show that \[ \begin{array}{l} \begin{vmatrix} 1+a^2-b^2&2ab&-2b \\ 2ab&1-a^2+b^2&2a \\ 2b&-2a&1-a^2-b^2 \end{vmatrix} = (1+a^2+b^2)^3 \end{array} \]
cbse
class12
bookproblem
ch4
sec2
q13
p121
medium
sec-b
math
asked
Nov 28, 2012
by
balaji.thirumalai
1
answer
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