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Recent questions tagged q19
Questions
Solve the following differential equations : $\cos^2x\large\frac{dy}{dx}$$+y=\tan \: x$
cbse
class12
modelpaper
2012
sec-b
q19
medium
math
asked
Feb 11, 2013
by
thanvigandhi_1
1
answer
Evaluate : \( \int_1^4 (x^2-x)dx\) as limit sums.
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Feb 9, 2013
by
thanvigandhi_1
0
answers
Solve the differential equation $ x.\cos\bigg(\large\frac{y}{x} \bigg).\frac{dy}{dx}$$=y\cos \bigg( \large\frac{y}{x} \bigg) $$+x $
cbse
class12
modelpaper
2012
sec-b
q19
medium
math
asked
Feb 8, 2013
by
thanvigandhi_1
1
answer
Find the area of the parallelogram whose diagnols are represented by the vectors $ \overrightarrow d_1 = 3\hat i +\hat j -2\hat k\: and \: \overrightarrow d_2 = \hat i -3\hat j +4\hat k.$
cbse
class12
modelpaper
2012
sec-b
q19
easy
math
asked
Feb 7, 2013
by
thanvigandhi_1
1
answer
Prove, using properties of determinants: $ \begin{vmatrix} a-b-c & 2a & 2a \\ 2b & b-c-a & 2b \\ 2c & 2c & c-a-b \end{vmatrix} = (a+b+c)^3 $
cbse
class12
modelpaper
2012
sec-b
q19
ch4
bookproblem
sec2
q11-1
p120
math
asked
Feb 6, 2013
by
thanvigandhi_1
0
answers
Shreya visits the cities A, B, C and D at random. What is the probability that he visits 1) A before B 2) A just before B.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q19
p42
math
asked
Feb 5, 2013
by
meena.p
0
answers
Prove the following : $ 2tan^{-1} \bigg(\large \frac{1}{2} \bigg)$$ +\tan^{-1} \bigg( \large\frac{1}{7} \bigg)$$ = \tan^{-1} \bigg( \large\frac{31}{17} \bigg) $
cbse
class12
modelpaper
2012
sec-c
q19
easy
math
asked
Feb 5, 2013
by
thanvigandhi_1
1
answer
Find the equation of the line passing through the point (3,0,1) and parallel to the planes x+2y = 0 and 3y -z = 0
cbse
class12
additionalproblem
kvquestionbank2012
ch11
q19
p38
math
asked
Feb 5, 2013
by
meena.p
0
answers
Prove that the altitudes of a triangle are concurrent.
cbse
class12
additionalproblem
kvquestionbank2012
ch10
q19
p36
difficult
sec-b
math
asked
Feb 5, 2013
by
meena.p
1
answer
Solve the following differential equation : $(y+3x^2)\large\frac{dx}{dy}$$=x.$
cbse
class12
modelpaper
2012
sec-b
q19
medium
math
asked
Feb 5, 2013
by
thanvigandhi_1
1
answer
Solve: \[\frac{xdx+ydy}{xdy-ydx}=\sqrt{\frac{a^2-x^2-y^2}{x^2+y^2}}\] (Hint : take $ x=r\cos \theta,y=r \sin \theta,$ so that $x^2+y^2=r^2)$
cbse
class12
additionalproblem
kvquestionbank2012
ch9
q19
p34
sec-c
math
asked
Feb 4, 2013
by
meena.p
0
answers
If the function f(x) given by $ f(x) = \left\{ \begin{array}{l l}3ax+b, & \quad if { x > 0} \\ 11, & \quad if { x = 1} \\ 5ax-2b, & \quad if { x < 1 } \end{array} \right. $ is continuous at x = 1, find the values of a and b.
cbse
class12
modelpaper
2012
sec-b
q19
medium
math
asked
Feb 4, 2013
by
thanvigandhi_1
1
answer
Find the area of the region bounded by the circle $ x^2+y^2=16$ and the line y = x in the first quadrant.
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q19
p32
math
asked
Feb 4, 2013
by
meena.p
0
answers
Solve the following differential equation : $ \cos^2x\frac{dy}{dx}+y=\tan \: x$
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Feb 4, 2013
by
thanvigandhi_1
0
answers
Form a differential equation of the family of ellipse having foci on y - axis and centre at origin.
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Feb 4, 2013
by
thanvigandhi_1
0
answers
Using properties of definite integrals, evaluate \[ \int_0^x \frac{xdx}{4-cos^2x} \]
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Feb 3, 2013
by
thanvigandhi_1
0
answers
Evaluate the following integral using limit of sums $\int_1^4 \: x^2-xdx $
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Feb 2, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int_0^a \large\frac{\sqrt x}{\sqrt x+\sqrt{a-x} }$$dx $
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Feb 2, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int_0^3 f(x) \: dx $
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Jan 31, 2013
by
thanvigandhi_1
0
answers
$\Large \int \frac{e^{log}\bigg(1+\frac{1}{x^2}\bigg)dx}{x^2+\frac{1}{x^2}}=$\[(a)\;\frac{1}{\sqrt 2} \tan^{-1}\bigg(x+\frac{1}{x}\bigg)\qquad (b)\;\frac{1}{\sqrt 2}\tan^{-1}\bigg(\frac{x-\frac{1}{x}}{\sqrt 2}\bigg)\qquad(c)\;\sqrt 2 \tan^{-1}\bigg(x+\frac{1}{x}\bigg)\qquad(d)\;\frac{1}{\sqrt 2}\tan^{-1}\bigg(\frac{1}{x}-x\bigg)\]
cbse
class12
additionalproblem
kvquestionbank2012
ch7
q19
p25
math
asked
Jan 31, 2013
by
meena.p
0
answers
Show that the plane through (1, 1, 1), (1, -1, 1) and (-7, 3, 5) is perpendicular to XZ-plane.
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Jan 31, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int_0^{\Large\frac{\pi}{2}} \log \sin\: x\: dx $
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Jan 30, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int\large\frac{\log x}{(1+\log x)^2}$$dx.$
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Jan 29, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int \large\frac{5x-2}{1+2x+3x^2}$$dx.$
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Jan 29, 2013
by
thanvigandhi_1
0
answers
The values of a and b for which the function$f(x)= \left\{ \begin{array}{1 1} ax+1 & \quad x\leq3 \\ bx+3 & \quad x>3 \end{array} \right. $ is continuous at x=3 are \[(a)\;3a+2b=5 \qquad(b)\;3a=2+3b\qquad(c)\;3,2\qquad(d)\;none\;of\;these.\]
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q19
p17
math
asked
Jan 29, 2013
by
meena.p
0
answers
Express the vector $\overset \rightharpoonup {a} = 5\hat{i} - 2\hat{j} + 5\hat{k}$ as sum of two vectors such that one is parallel to the vector $\overset \rightharpoonup {b} = 3\hat{i} + \hat{k}$ and the other is perpendicular to $\overset \rightharpoonup {b}$
cbse
class12
modelpaper
2005
sec-b
q19
math
asked
Jan 28, 2013
by
fingeazy
0
answers
Solve the differential equation: $\large \frac{dy}{dx}=\frac{y}{x}$$+\log x$
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Jan 28, 2013
by
thanvigandhi_1
0
answers
Find the differential equation of all circles which pass through origin and whose centre lies on y - axis.
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Jan 27, 2013
by
thanvigandhi_1
0
answers
Solve the differential equation \( (x+y)dy+(x-y)dx=0\)
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Jan 27, 2013
by
thanvigandhi_1
1
answer
Show that the function $f(x) = | \sin x+\cos x| $ is continuous at $ x =\Large\pi$
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q19
p12
medium
math
sec-a
asked
Jan 25, 2013
by
meena.p
1
answer
Solve the following differential equation $ (1+x^2)\large\frac{dy}{dx}$$+y =\ tan^{-1}x$
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Jan 25, 2013
by
thanvigandhi_1
0
answers
Solve the following differential equation $\cos x\large \frac{dy}{dx}$$+y = \sin x $.
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Jan 24, 2013
by
thanvigandhi_1
0
answers
If A and B are two matrices such that AB = B and BA = A then $A^2+B^2$=_______?_______\
cbse
class12
additionalproblem
kvquestionbank2012
ch3
q19
p8
math
sec-a
asked
Jan 24, 2013
by
meena.p
0
answers
If the function $ f(x) = \left\{ \begin{array}{l l} 3ax+b, & \quad if { x > 3}\\ 11, & \quad if { x=1} \\ 5ax-2b, & \quad if {x < 1} \end{array} \right. $ is continuous at x = 1 , find the values a and b.
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Jan 24, 2013
by
thanvigandhi_1
0
answers
Solve the following linear programming problem graphically: Maximize z = 60 + 15y Subject to constraints $$x + y \le 50$$ $$3x + y \le 90$$ $$x , y \ge 0 $$
cbse
class12
modelpaper
2005
sec-c
q19
math
asked
Jan 24, 2013
by
fingeazy
0
answers
Solve for x $ \sin^{-1}\frac{2\alpha}{1+\alpha^2}+ \sin^{-1}\frac{2\beta}{1+\beta^2}=2\tan^{-1}x.$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q19
p6
medium
sec-b
math
asked
Jan 24, 2013
by
meena.p
1
answer
Let a relation R on the set R of real numbers be defined as $ (a,b) \varepsilon R \Leftrightarrow 1+ ab > 0 for\; all\; a, b\; \varepsilon\; R.$show that R is reflexive and symmetric but not transitive.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q19
p4
math
sec-b
asked
Jan 23, 2013
by
meena.p
0
answers
Using properties of definite integrals, evaluate : $ \int_0^1\large \frac{\log \: x}{\sqrt{1-x^2}} $$dx.$
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Jan 23, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int_{\large\frac{\pi}{6}}^{\large\frac{\pi}{4}}\large \frac{1}{1+\sqrt{\tan x}}$$ dx.$
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Jan 21, 2013
by
thanvigandhi_1
0
answers
Solve: $(x+y)(dx-dy)=dx+dy.$[Hint:Substitute x+y=z after separating dx and dy]
cbse
class12
ch9
sec-b
q19
p194
short-answer
exemplar
difficult
math
asked
Jan 18, 2013
by
sreemathi.v
1
answer
The vector in the direction of the vector $\hat i+2\hat j+2\hat k$ that has magnitude $9$ is
cbse
class12
ch10
q19
p216
exemplar
easy
sec-a
math
asked
Jan 17, 2013
by
sreemathi.v
1
answer
Solve the differential equation $ (y+x)\large\frac{dy}{dx}$$=y-x. $
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Jan 17, 2013
by
thanvigandhi_1
0
answers
Draw a rough sketch of the region {(x,y):$y^2\leq 6ax $ and $x^2+y^2\leq 16a^2$}.Also find the area of the region sketched using method of integration.
cbse
class12
ch8
q19
p177
exemplar
sec-c
medium
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
Solve the differential equation : $ 2x^2 \large\frac{dy}{dx}$$-2xy+y^2 = 0, \: y(e) = e.$
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Jan 16, 2013
by
thanvigandhi_1
0
answers
Solve the following differential equation : $ \large\frac{ dy}{ dx}=\frac{\large y(2y-x)}{\large x(2y+x)},$$ \: if \: y=1 \: when \: x=1.$
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Jan 15, 2013
by
thanvigandhi_1
0
answers
Evaluate the following\[\int\frac{x^2}{1-x^4}dx\;put\;x^2=t\]
cbse
class12
ch7
q19
p164
short-answer
exemplar
math
sec-a
asked
Jan 14, 2013
by
sreemathi.v
0
answers
Solve the following differential equation $ x(1+y^2)dx-y(1+x^2)dy=0 $ given that $ y=0, \: when \: x=1$
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Jan 11, 2013
by
thanvigandhi_1
0
answers
Solve the following differential equation $\large\frac{dy}{dx}$$+\sec x.y = \tan \: x. $
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Jan 11, 2013
by
thanvigandhi_1
0
answers
Show that the line $\Large \frac{x}{a}+\frac{y}{b}\normalsize=1$,touches the curve $y=b.e^{\Large \frac{-x}{a}}$ at the point where the curve intersects the axis of y.
cbse
class12
ch6
q19
p136
short-answer
exemplar
medium
sec-b
math
asked
Jan 11, 2013
by
sreemathi.v
1
answer
Solve the equation $ 2x^2\large\frac{dy}{dx}$$- 2xy+y^2=0,y(e)=e.$
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Jan 9, 2013
by
thanvigandhi_1
0
answers
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