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Recent questions tagged sec-a
Questions
Integrate the function $\begin{align*}\int\frac{\cos x}{\sqrt{4-\sin^2x}} \end{align*}$
cbse
class12
bookproblem
ch7
misc
q9
p352
sec-a
medium
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function $\begin{align*}\int\frac{x^3}{\sqrt{1-x^8}} \end{align*}$
cbse
class12
bookproblem
ch7
misc
q12
p352
sec-a
easy
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function $\int\cos^3x\;e^{log\sin x}dx$
cbse
class12
bookproblem
ch7
misc
q15
p352
sec-a
easy
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
Prove the following\[\int\limits_{-1}^1x^{17}\cos^4x\;dx=0\]
cbse
class12
bookproblem
ch7
misc
q36
p353
sec-a
easy
math
asked
Dec 2, 2012
by
sreemathi.v
1
answer
Choose the correct answers in $\int\frac{dx}{e^x+e^{-x}}$ is equal to
cbse
class12
bookproblem
ch7
misc
q41
p353
sec-a
easy
math
asked
Dec 2, 2012
by
sreemathi.v
1
answer
Choose the correct answers in $\int\frac{\large \cos 2x}{\large (\sin x+\cos x)^2}dx$ is equal to
cbse
class12
bookproblem
ch7
misc
q42
p353
sec-a
easy
math
asked
Dec 2, 2012
by
sreemathi.v
1
answer
Choose the correct answers if $f(a+b-x) = f(x)$ , then $\int\limits_a^bx\;f(x)dx$ is equal to
cbse
class12
bookproblem
ch7
misc
q43
p354
sec-a
medium
math
asked
Dec 2, 2012
by
sreemathi.v
1
answer
Choose the correct answers in the value of $\int\limits_0^1\tan^{-1}\bigg(\frac{\large 2x-1}{\large 1+x-x^2}\bigg)dx\;is$\[(A)\;1\qquad(B)\;0\qquad(C)\;-1\qquad(D)\;\frac{\pi}{4}\]
cbse
class12
bookproblem
ch7
misc
q44
p354
sec-a
medium
math
asked
Dec 2, 2012
by
sreemathi.v
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
Which of the following differential equations has $y\;=\;c_1e^x+c_2e^{-x}$ as the general solution?
cbse
class12
bookproblem
ch9
sec3
q11
p391
easy
sec-a
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Which of the following differential equations has $y = x$ as one of its particular solution?
cbse
class12
bookproblem
ch9
sec3
q12
p391
easy
sec-a
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Find the general solution $\large\frac{dy}{dx}=\frac{1-\cos x}{1+\cos x}$
cbse
class12
bookproblem
ch9
sec4
q1
p395
easy
sec-a
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Find a particular solution satisfying the given condition $\cos\bigg(\large\frac{dy}{dx}\bigg)$$=a\;(a\;\in\;R);y=2\;when\;x=0$
cbse
class12
bookproblem
ch9
sec4
q13
p396
easy
sec-a
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Find the equation of a curve passing through the point (0,-2) given that at any point (x,y) on the curve,the product of the slope of its tangent and y coordinate of the point is equal to the x coordinate of the point.
cbse
class12
bookproblem
ch9
sec4
q17
p396
easy
sec-a
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
A homogeneous differential equation of the form $\frac{\large dx}{\large dy}=h\bigg(\frac{\large x}{\large y}\bigg)$ can be solved by making the substitution
cbse
class12
bookproblem
ch9
sec5
q16
p406
easy
sec-a
math
asked
Nov 29, 2012
by
sreemathi.v
1
answer
Which of the following is a homogeneous differential equation?
cbse
class12
bookproblem
ch9
sec5
q17
p407
sec-a
easy
math
asked
Nov 29, 2012
by
sreemathi.v
1
answer
Find the equation of curve passing through the point(0,2) given that the sum of the coordinates of any point on the curve exceeds the magnitude of the slope of the tangent to the curve at that point by 5
cbse
class12
bookproblem
ch9
sec6
q17
p414
math
sec-a
asked
Nov 29, 2012
by
sreemathi.v
1
answer
The integrating factor of the differential equation $x\large\frac{dy}{dx}$$-y=2x^2 $ is
cbse
class12
bookproblem
ch9
sec6
q18
p414
easy
math
sec-a
asked
Nov 29, 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 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 (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
Find the direction cosines of the sides of the triangle whose vertices are (3, 5, -4), (-1, 1, 2) and ( -5, -5, -2).
cbse
class12
bookproblem
ch11
sec1
p467
q5
difficult
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Show that the points (2, 3, 4), (-1, -2, 1), (5, 8, 7) are collinear.
cbse
class12
bookproblem
ch11
sec1
p467
q4
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
If a line has the direction ratios $-18, 12, -4,$ then what are its direction cosines?
cbse
class12
bookproblem
ch11
sec1
p467
q3
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Find the direction cosines of a line which makes equal angles with the coordinate axes.
cbse
class12
bookproblem
ch11
sec1
p467
q2
easy
sec-a
modelpaper
2012
q10
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
If a line makes angles $90^\circ$,$135^\circ$, $45^\circ$ with the x, y and z-axes respectively, find its direction cosines.
cbse
class12
bookproblem
ch11
sec1
p467
q1
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Let A = $\begin{bmatrix} 1 & sin\theta & 1 \\ -sin\theta & 1 & sin\theta \\ -1 & -sin\theta & 1 \end{bmatrix}$, where $0 \leq \theta \leq 2\pi$. Then: \[ \begin{array} ((A) \, Det(A) = 0 \quad& (B) \, Det(A) \in (2, \infty) \\[0.5em] (C) \, Det(A) \in (2, 4) \quad &(D) Det(A) \in [2,4] \end{array} \]
cbse
class12
bookproblem
ch4
misc
q19
p143
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
If x, y, z are nonzero real numbers, then the inverse of matrix A = $\begin{bmatrix} x & 0 & 0 \\ 0 & y & 0 \\ 0 & 0 & z \end{bmatrix}$ is
cbse
class12
bookproblem
ch4
misc
q18
p143
medium
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
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
Using properties of determinants, prove that: $\begin{vmatrix} sin\alpha&cos\alpha&cos(\alpha+\delta)\\ sin\beta&cos\beta&cos(\beta+\delta)\\ sin\gamma&cos\gamma&cos(\gamma+\delta)) \end{vmatrix}= 0.$
cbse
class12
bookproblem
ch4
misc
q15
p142
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Using properties of determinants, prove that: $\begin{vmatrix} 1&1+p&1+p+q\\ 2&3+2p&4+3p+2q\\ 3&6+3p&10+6p+3q \end{vmatrix}= 1.$
cbse
class12
bookproblem
ch4
misc
q14
p142
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Evaluate $\begin{vmatrix} 1 & x & y\\ 1 & x+y & y\\ 1 & x & x+y \end{vmatrix}$
cbse
class12
bookproblem
ch4
misc
q10
p142
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
verify that the given function (implicit or explicit) is a solution of the corresponding differential equation
cbse
class12
bookproblem
ch9
misc
q2
q2-1
p420
medium
math
sec-a
asked
Nov 29, 2012
by
sreemathi.v
1
answer
Examine the consistency of the system of equations:\[\] \[\quad 5x -y +4z = 5 \] \[\quad2x + 3y + 5z= 2\] \[\quad 5x - 2y + 6z = -1\]
cbse
class12
bookproblem
ch4
sec6
q6
p136
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Examine the consistency of the system of equations:\[\] \[\quad 3x -y -2z = 2 \] \[\quad 2y -z = -1\] \[\quad 3x -5y = 3\]
cbse
class12
bookproblem
ch4
sec6
q5
p136
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
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