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Recent questions tagged class12
Questions
Using differentials, find the approximate value of each of the following up to 3 places of decimal. $(ii)\;\sqrt{49.5}$
cbse
class12
bookproblem
ch6
sec4
q1
q1-2
p216
sec-b
easy
math
asked
Aug 5, 2013
by
sreemathi.v
1
answer
For each of the exercises given below, verify that the given function (implicit or explicit) is a solution of the corresponding differential equation $( iv)\quad x^2=2y^2 \log y : \qquad (x^2+y^2)\large\frac{dy}{dx}$$-xy=0$
cbse
class12
bookproblem
ch9
misc
q2
q2-4
p420
medium
sec-a
math
asked
Jul 30, 2013
by
sreemathi.v
1
answer
Verify that the given function (implicit or explicit) is a solution of the corresponding differential equation
cbse
class12
bookproblem
ch9
misc
q2
q2-3
p420
medium
sec-a
math
asked
Jul 30, 2013
by
sreemathi.v
1
answer
Verify that the given function (implicit or explicit) is a solution of the corresponding differential equation
cbse
class12
bookproblem
ch9
misc
q2
q2-2
p420
medium
sec-a
math
asked
Jul 30, 2013
by
sreemathi.v
1
answer
For each of the differential equations given below,indicate its order and degree(if defined) $(iii)\;\large\frac{d^4y}{dx^4}-\sin\big(\large\frac{d^3y}{dx^3}\big)$$=0$
cbse
class12
bookproblem
misc
q1
q1-3
p419
easy
sec-a
math
asked
Jul 29, 2013
by
sreemathi.v
1
answer
For each of the differential equations given below,indicate its order and degree(if defined) $(ii)\;\big(\large\frac{dy}{dx}\big)^3-4\big(\large\frac{dy}{dx}\big)^2+7y=\sin x$
cbse
class12
bookproblem
misc
q1
q1-2
p419
easy
sec-a
math
asked
Jul 29, 2013
by
sreemathi.v
1
answer
Show that of all the rectangles with a given perimeter,the square has the largest area.
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Jul 25, 2013
by
sreemathi.v
0
answers
Differentiate \(( x \cos \: x )^x + ( x\sin\: x )^{\Large\frac{1}{x}}\) w.r.t. \( x \).
cbse
class12
modelpaper
2012
sec-b
q14
math
asked
Jul 25, 2013
by
sreemathi.v
1
answer
Are the points (2, 3, 4), (-1, -2, 1), (5, 8, 7) collinear?
class12
cbse
easy
sec-a
ch11
additionalproblem
math
asked
Jul 20, 2013
by
balaji.thirumalai
1
answer
Find the value of x from the following : $\begin {vmatrix} x & 4 \\ 2 & 2x \end {vmatrix} = 0 $
cbse
class12
modelpaper
2012
sec-a
q5
math
asked
Jul 19, 2013
by
sreemathi.v
1
answer
Obtain the inverse of the following matrix using elementary operations :$A=\begin{bmatrix}3 & 0 & -1\\2 & 3 & 0\\0 & 4& 1\end{bmatrix}$
cbse
class12
modelpaper
2012
sec-c
q23
math
asked
Jul 18, 2013
by
sreemathi.v
1
answer
Solve the following differential equation :$x\large\frac{dy}{dx}$$-y=\sqrt{x^2+y^2}$.
cbse
class12
modelpaper
2005
sec-b
q8
math
asked
Jul 16, 2013
by
sreemathi.v
1
answer
Solve the following differential equation : $(1+x^2)\large\frac{dy}{dx}$$-2xy=(x^2+2)(x^2+1)$
cbse
class12
modelpaper
2005
sec-a
q9
math
asked
Jul 16, 2013
by
sreemathi.v
1
answer
Form the differential equation representing the family $y^2-2ay+x^2=a^2$ where $a$ is an arbitrary constant.
cbse
class12
modelpaper
2005
sec-a
q7
math
asked
Jul 16, 2013
by
sreemathi.v
1
answer
Evaluate :$\int\large\frac{\sqrt{16+(\log x)^2}}{x}$$dx$
cbse
class12
modelpaper
2005
sec-a
q6
math
asked
Jul 16, 2013
by
sreemathi.v
1
answer
Evaluate :$\int \large\frac{\sin 2x}{a^2\sin^2x+b^2\cos^2x}$$dx$
cbse
class12
modelpaper
2005
sec-a
q5
math
asked
Jul 16, 2013
by
sreemathi.v
1
answer
A class consists of $10$ boys and $8$ girls.Three students are selected at random.Find the probability that the selected row has
cbse
class12
modelpaper
2005
sec-a
q4
math
asked
Jul 16, 2013
by
sreemathi.v
1
answer
Show that $\begin{vmatrix}x+1 &x+2 &x+a\\x+2 &x+3 &x+b\\x+3 &x+4 &x+c\end{vmatrix}=0$ where $a,b,c$ are in A.P.
cbse
class12
modelpaper
2005
sec-a
q2
math
asked
Jul 16, 2013
by
sreemathi.v
1
answer
If $A=\begin{vmatrix}2 & 3\\1 & 2\end{vmatrix}$ prove that $A^3-4A^2+A=0$
cbse
class12
modelpaper
2005
sec-a
q1
math
asked
Jul 16, 2013
by
sreemathi.v
1
answer
Find the equation of the plane passing through the points $(3,4,1)$ and $(0,1,0)$ and parallel to the line $\large\frac{x+3}{2}=\frac{y-3}{7}=\frac{z-2}{5}$
cbse
class12
modelpaper
2008-1
sec-c
q27
math
asked
Jul 15, 2013
by
sreemathi.v
1
answer
If $\tan\bigg(\large\frac{x^2-y^2}{x^2+y^2}\bigg)$$=a$,then prove that $\large\frac{dy}{dx}=\frac{y}{x}$.
cbse
class12
modelpaper
2011
sec-b
q14
math
asked
Jul 14, 2013
by
sreemathi.v
1
answer
Find the equation of the tangent line to the curve \(y = x^2 - 2x +7\) which is $(b)\; perpendicular\; to\; the\; line\; 5y-15x=13$
cbse
class12
bookproblem
ch6
sec3
q15
q15-b
p212
sec-b
easy
math
asked
Jul 11, 2013
by
sreemathi.v
1
answer
Find the equations of the tangent and normal to the given curves at the indicated points: $ (v) \: x = \cos t,y=\sin t\; at \;(t=\large\frac{\pi}{4})$
cbse
class12
bookproblem
ch6
sec3
q14
q14-5
p212
sec-b
easy
math
asked
Jul 11, 2013
by
sreemathi.v
1
answer
Find the equations of the tangent and normal to the given curves at the indicated points: $ (iv) \: y = x^2\; at \;(0, 0)$
cbse
class12
bookproblem
ch6
sec3
q14
q14-4
p212
sec-a
easy
math
asked
Jul 11, 2013
by
sreemathi.v
1
answer
Find the equations of the tangent and normal to the given curves at the indicated points: $ (iii) \: y = x^3\; at \;(1, 1)$
cbse
class12
bookproblem
ch6
sec3
q14
q14-3
p212
sec-b
easy
math
asked
Jul 11, 2013
by
sreemathi.v
1
answer
Find the equations of the tangent and normal to the given curves at the indicated points: $ (ii) \: y = x^4 - 6x^3 + 13x^2 - 10x + 5\; at \;(1, 3)$
cbse
class12
bookproblem
ch6
sec3
q14
q14-2
p212
sec-b
easy
math
asked
Jul 11, 2013
by
sreemathi.v
1
answer
Find points on the curve\( \large\frac{x^2}{9} + \frac{y^2}{16} = 1\) at which the tangents are $(ii)\; parallel\; to\; y - axis$
cbse
class12
bookproblem
ch6
sec3
q13
q13-2
p212
sec-b
easy
math
asked
Jul 11, 2013
by
sreemathi.v
1
answer
Find the intervals in which the following functions are strictly increasing or decreasing: $(e) \;(x+1)^3(x-3)^3$
cbse
class12
bookproblem
ch6
sec2
q6
q6-e
p205
sec-b
easy
math
asked
Jul 9, 2013
by
sreemathi.v
1
answer
Find the intervals in which the following functions are strictly increasing or decreasing: $(d) \;6-9x-x^2$
cbse
class12
bookproblem
ch6
sec2
q6
q6-d
p205
sec-b
easy
math
asked
Jul 9, 2013
by
sreemathi.v
1
answer
Find the intervals in which the following functions are strictly increasing or decreasing: $(c) \;-2x^3-9x^2-12x+1$
cbse
class12
bookproblem
ch6
sec2
q6
q6-c
p205
sec-b
easy
math
asked
Jul 9, 2013
by
sreemathi.v
1
answer
Find the intervals in which the following functions are strictly increasing or decreasing: $(b) \;10-6x-2x^2$
cbse
class12
bookproblem
ch6
sec2
q6
q6-b
p205
sec-b
easy
math
asked
Jul 9, 2013
by
sreemathi.v
1
answer
The length $x$ of a rectangle is decreasing at the rate of 5 cm/minute and the width y is increasing at the rate of 4 cm/minute. When $x = 8$ cm and $y = 6$ cm, find the rates of change of (b) the area of the triangle.
cbse
class12
bookproblem
ch6
sec1
q7
q7-b
p198
sec-a
easy
math
asked
Jul 5, 2013
by
sreemathi.v
1
answer
Find the rate of change of the area of a circle with respect to its radius r when $(b)\; r = 4 cm$
cbse
class12
bookproblem
ch6
sec1
q1
q1-b
p197
sec-a
easy
math
asked
Jul 5, 2013
by
sreemathi.v
1
answer
If $x^my^n=(x+y)^{m+n}$,Prove that $(ii)\;\large\frac{d^2y}{dx^2}=$$0$
cbse
class12
ch5
q80
q80-2
p113
exemplar
sec-b
medium
math
asked
Jul 3, 2013
by
sreemathi.v
1
answer
Find the equation of parabola if : Vertex $(1 , 4); $ open left ward and passing through the point $(-2,10)$
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
q1
q1-6
p192
asked
Jun 24, 2013
by
sreemathi.v
1
answer
Suppose X has a binomial distribution $ B\; \large($$6, \large\frac{1}{2})$. What is the most likely outcome and for what value of X, where x = 0, 1, 2, 3, 4, 5, 6?
class12
cbse
ch13
sec5
medium
additionalproblem
sec-a
math
asked
Jun 21, 2013
by
balaji.thirumalai
1
answer
Find the probability distribution of the number of successes in two tosses of a die, where a success is defined as six appears on at least one die
bookproblem
class12
cbse
ch13
sec4
q5
easy
p570
q5-2
sec-a
math
asked
Jun 20, 2013
by
balaji.thirumalai
1
answer
Find the probability distribution of the number of successes in two tosses of a die, where a success is defined as number greater than 4.
class12
bookproblem
cbse
ch13
p570
sec4
q5
q5-1
sec-a
easy
math
asked
Jun 20, 2013
by
balaji.thirumalai
1
answer
Find the probability distribution of number of heads in four tosses of a coin.
class12
cbse
bookproblem
ch13
sec4
p570
q4
easy
q4-3
sec-a
math
asked
Jun 19, 2013
by
balaji.thirumalai
1
answer
Find the probability distribution of number of tails in the simultaneous tosses of three coins.
p570
class12
bookproblem
cbse
ch13
sec4
q4
easy
q4-2
sec-a
math
asked
Jun 19, 2013
by
balaji.thirumalai
1
answer
Find the probability distribution of number of heads in two tosses of a coin.
cbse
class12
bookproblem
ch13
sec4
p570
q4
q4-1
easy
sec-a
math
asked
Jun 19, 2013
by
balaji.thirumalai
1
answer
Find the equation of the hyperbola if centre: $(0 , 0 )$ length of the semi-transverse axis is $6; e=3$ and the transverse axis is parallel to $y$-axis.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-3
q1
q1-3
p237
mar-2007
modelpaper
asked
Jun 19, 2013
by
sreemathi.v
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. If she reads English news paper, find the probability that she reads Hindi news paper.
bookproblem
cbse
class12
ch13
sec2
q16
easy
sec-a
q16-3
math
asked
Jun 19, 2013
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. If she reads Hindi news paper, find the probability that she reads English news paper.
class12
cbse
bookproblem
ch13
sec2
q16
q16-2
easy
sec-a
math
asked
Jun 19, 2013
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. Find the probability that she reads neither Hindi nor English news papers.
class12
bookproblem
cbse
p548
sec2
ch13
easy
sec-a
q16
q16-1
math
asked
Jun 19, 2013
by
balaji.thirumalai
1
answer
One card is drawn at random from a well shuffled deck of 52 cards. In which of the following cases are the events E and F independent? (i) E : the card drawn is a spade F : the card drawn is an ace (ii) E : the card drawn is black F : the card drawn is a king (iii) E : the card drawn is a king or queen F : the card drawn is a queen or jack.
bookproblem
cbse
class12
ch13
sec2
sec-b
easy
p547
q15
math
asked
Jun 19, 2013
by
balaji.thirumalai
1
answer
One card is drawn at random from a well shuffled deck of 52 cards. Are E and F independent if E : the card drawn is a king or queen F : the card drawn is a queen or jack?
class12
easy
p547
q15
q15-3
sec-a
sec2
ch13
bookproblem
cbse
math
asked
Jun 19, 2013
by
balaji.thirumalai
1
answer
One card is drawn at random from a well shuffled deck of 52 cards. Are E and F independent if E : the card drawn is black F : the card drawn is a king?
cbse
class12
bookproblem
ch13
sec2
sec-a
easy
q15
q15-2
p547
math
asked
Jun 19, 2013
by
balaji.thirumalai
1
answer
If P(A) = $\large \frac{1}{2}$ and P(B) = 0, then P$\large(\frac{A}{B})$ is?
class12
cbse
easy
bookproblem
sec-a
ch13
sec1
q16
p540
math
asked
Jun 18, 2013
by
balaji.thirumalai
1
answer
A fair die is rolled. Consider events E = {1,3,5}, F = {2,3} and G = {2,3,4,5}. Calculate $ P \large ( \large \frac{ E \cup F}{G})$ and $ P \large ( \large \frac{ E \cap F}{G})$
class12
cbse
bookproblem
ch13
sec1
q11
p539
q11-3
sec-a
easy
math
asked
Jun 18, 2013
by
balaji.thirumalai
1
answer
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