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Recent questions tagged class12
Questions
Use the truth table to establish which of the following statements are tautologies and which are contradictions.
tnstate
class12
bookproblem
ch9
sec1
exercise9-3
p167
q1
q1-4
asked
Sep 13, 2013
by
sreemathi.v
1
answer
Use the truth table to establish which of the following statements are tautologies and which are contradictions.
tnstate
class12
bookproblem
ch9
sec1
exercise9-3
p167
q1
q1-3
modelpaper
oct-2009
asked
Sep 13, 2013
by
sreemathi.v
1
answer
Use the truth table to establish which of the following statements are tautologies and which are contradictions.
tnstate
class12
bookproblem
ch9
sec1
exercise9-3
p167
q1
q1-2
asked
Sep 13, 2013
by
sreemathi.v
1
answer
Solve the following differential equation;$(D^{2}-13D+12)$y$=e^{-2x}+5e^x$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-5
p150
q4
asked
Sep 5, 2013
by
sreemathi.v
1
answer
The feasible region for an LPP is shown in the figure below ( fig 12.13 in textbook ).Let $F=3x-4y$ be the objective function.Minimum value of $F$ is
cbse
class12
ch12
q31
p255
objective
exemplar
sec-a
easy
math
asked
Aug 21, 2013
by
sreemathi.v
1
answer
The feasible region for an LPP is shown in the fig.12.13.Let $F=3x-4y$ be the objective function.Maximum value of $F$ is
cbse
class12
ch12
q30
p255
objective
exemplar
sec-a
easy
math
asked
Aug 21, 2013
by
sreemathi.v
1
answer
The feasible solution for a LPP is shown in fig.12.12.Let $Z=3x-4y$ be the objective function.(Maximum value of $Z$+Minimum value of $Z$) is equal to
cbse
class12
ch12
q29
p255
objective
exemplar
sec-a
easy
math
asked
Aug 21, 2013
by
sreemathi.v
1
answer
The feasible solution for a LPP is shown in fig.12.12.Let $Z=3x-4y$ be the objective function.Maximum of $Z$ occurs at
cbse
class12
ch12
q28
p255
objective
exemplar
sec-a
easy
math
asked
Aug 20, 2013
by
sreemathi.v
1
answer
The feasible solution for a LPP is shown in fig.12.12.Let $Z=3x-4y$ be the objective function.Minimum of $Z$ occurs at
cbse
class12
ch12
q27
p255
objective
exemplar
sec-a
easy
math
asked
Aug 20, 2013
by
sreemathi.v
1
answer
In the figure below ,the feasible region (shaded)for a LPP is shown .Determine the maximum and minimum value of $Z=x+2y$
cbse
class12
ch12
q10
p252
short-answer
exemplar
sec-a
easy
math
asked
Aug 20, 2013
by
sreemathi.v
1
answer
The feasible region for a LPP is shown in fig 12.10.Evaluate $Z=4x+y$ at each of the corner points of this region.Find the minimum value of $Z$,if it exists.
cbse
class12
ch12
q9
p251
short-answer
exemplar
sec-a
easy
math
asked
Aug 20, 2013
by
sreemathi.v
1
answer
The feasible region for a LPP is shown in fig.12.9.Find the maximum value of $z=11x+7y$
cbse
class12
ch12
q8
p251
short-answer
exemplar
sec-a
easy
math
asked
Aug 20, 2013
by
sreemathi.v
1
answer
The feasible region for a LPP is shown in fig.12.9.Find the minimum value of $z=11x+7y$
cbse
class12
ch12
q7
p251
short-answer
exemplar
sec-a
easy
math
asked
Aug 20, 2013
by
sreemathi.v
1
answer
Feasible region (shaded) for a LPP is shown. Maximise $z=5x+7y$
cbse
class12
ch12
q6
p250
short-answer
exemplar
sec-a
easy
math
asked
Aug 20, 2013
by
sreemathi.v
1
answer
Determine the maximum value of $z=3x+4y$ if the feasible region (shaded) for a LPP is shown in fig:
cbse
class12
ch12
q5
p250
short-answer
exemplar
sec-a
easy
math
asked
Aug 20, 2013
by
sreemathi.v
1
answer
Find the maximum value of \(2x^3 – 24x + 107\) in the interval \([-3,-1]\)
cbse
class12
bookproblem
ch6
sec5
q10
q10-2
p232
sec-b
easy
math
asked
Aug 19, 2013
by
sreemathi.v
1
answer
For what value of \( \lambda \) is the function defined by \(f\) defined by $ f(x) = \left\{ \begin{array} {1 1} \lambda(x^2 - 2x) ,& \quad\text{ if $ x $ \(\leq 0\)}\\ 4x + 1,& \quad \text{if $x$ > 0}\\ \end{array} \right.$ What about continuity at \( x = 1\)?
cbse
class12
bookproblem
ch5
sec1
q18
q18-2
p160
sec-a
easy
math
asked
Aug 19, 2013
by
sreemathi.v
1
answer
Examine if Rolle’s theorem is applicable to any of the following functions. Can you say some thing about the converse of Rolle’s theorem from these example? $(iii)\;f (x) = x^2 - 1 \; for\; x \: \in [1,2] $
cbse
class12
bookproblem
ch5
sec8
q2
q2-3
p186
math
asked
Aug 16, 2013
by
sreemathi.v
1
answer
Examine if Rolle’s theorem is applicable to any of the following functions. Can you say some thing about the converse of Rolle’s theorem from these example? $ (ii)\;f (x) = [x] \; for\; x \: \in [-2,2]$
cbse
class12
bookproblem
ch5
sec8
q2
q2-2
p186
math
asked
Aug 16, 2013
by
sreemathi.v
1
answer
Find the intervals in which the function $f$ given by $f (x) = 2x^2 – 3x$ is $ (b)\; strictly\; decreasing$
cbse
class12
bookproblem
ch6
sec2
q4
q4-b
p205
sec-a
easy
math
asked
Aug 16, 2013
by
sreemathi.v
1
answer
Find the area under the given curves and given lines: $ (ii)\:y = x^4, x = 1, x = 5 \: and\: x - axis$
cbse
class12
bookproblem
ch8
misc
q1
q1-2
p375
sec-a
math
asked
Aug 16, 2013
by
sreemathi.v
1
answer
The interval on which the function $f(x)=2x^3+9x^2+12x-1$ is decreasing is :
cbse
class12
ch6
q46
p140
objective
exemplar
easy
sec-a
math
asked
Aug 12, 2013
by
sreemathi.v
1
answer
Two curves $x^3-3xy^2+2=0$ and $3x^2-y^3-2=0$ intersect at an angle of
cbse
class12
ch6
q45
p140
objective
exemplar
sec-a
difficult
math
asked
Aug 12, 2013
by
sreemathi.v
1
answer
Find the absolute maximum value and the absolute minimum value of the following functions in the given intervals: $(iv)\: f (x) = (x-1)^2+3, x \in [– 3, 1] $
cbse
class12
bookproblem
ch6
sec5
q5
q5-4
p232
sec-a
easy
math
asked
Aug 7, 2013
by
sreemathi.v
1
answer
Find the absolute maximum value and the absolute minimum value of the following functions in the given intervals: $(iii)\: f (x) =4x-\large\frac{x^2}{2}$$, x \in [– 2, \large\frac{9}{2}] $
cbse
class12
bookproblem
ch6
sec5
q5
q5-3
p232
sec-b
easy
math
asked
Aug 7, 2013
by
sreemathi.v
1
answer
Find the absolute maximum value and the absolute minimum value of the following functions in the given intervals: $ f (x) = \sin x+\cos x, x \in [0,\pi] $
cbse
class12
bookproblem
ch6
sec5
q5
q5-2
p232
sec-b
easy
modelpaper
2012
q15
math
asked
Aug 7, 2013
by
sreemathi.v
1
answer
Prove that the following functions do not have maxima or minima: $ (iii)\: h (x) =x^3+x^2+x+1 $
cbse
class12
bookproblem
ch6
sec5
q4
q4-3
p232
sec-a
easy
math
asked
Aug 7, 2013
by
sreemathi.v
1
answer
Prove that the following functions do not have maxima or minima: $ (ii)\: g(x)=\log x $
cbse
class12
bookproblem
ch6
sec5
q4
q4-2
p232
sec-a
easy
math
asked
Aug 7, 2013
by
sreemathi.v
1
answer
Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum values, as the case may be: $ (viii)\: f (x) = x\sqrt{1-x}$$,x>0$
cbse
class12
bookproblem
ch6
sec5
q3
q3-8
p232
sec-b
easy
math
asked
Aug 7, 2013
by
sreemathi.v
1
answer
Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum values, as the case may be: $ (vii)\: f (x) = \large\frac{1}{x^2+2}$
cbse
class12
bookproblem
ch6
sec5
q3
q3-7
p232
sec-a
easy
math
asked
Aug 7, 2013
by
sreemathi.v
1
answer
Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum values, as the case may be: $ f (x) =\large\frac{x}{2}$$+\large\frac{2}{x}$$,x>0$
cbse
class12
bookproblem
ch6
sec5
q3
q3-6
p232
sec-a
medium
math
asked
Aug 7, 2013
by
sreemathi.v
1
answer
Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum values, as the case may be: $ f (x) =x^3-6x^2+9x+15$
cbse
class12
bookproblem
ch6
sec5
q3
q3-5
p232
sec-b
medium
math
asked
Aug 7, 2013
by
sreemathi.v
1
answer
Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum values, as the case may be: $ f (x) =\sin x-\cos x,0 < x <2\pi$
cbse
class12
bookproblem
ch6
sec5
q3
q3-4
p232
sec-b
medium
math
asked
Aug 7, 2013
by
sreemathi.v
1
answer
Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum values, as the case may be: $ (iii)\: h(x)=\sin x+\cos x$
cbse
class12
bookproblem
ch6
sec5
q3
q3-3
p232
sec-b
easy
math
asked
Aug 6, 2013
by
sreemathi.v
1
answer
Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum values, as the case may be: $ (ii)\: g (x) = x^3-3x$
cbse
class12
bookproblem
ch6
sec5
q3
q3-2
p232
sec-b
easy
math
asked
Aug 6, 2013
by
sreemathi.v
1
answer
Find the maximum and minimum values, if any, of the following functions given by $ (v) \: h (x) =x+1,x\in (-1,1)$
cbse
class12
bookproblem
ch6
sec5
q2
q2-5
p232
sec-a
easy
math
asked
Aug 6, 2013
by
sreemathi.v
1
answer
Find the maximum and minimum values, if any, of the following functions given by $ (iv) \: f (x) =\mid\sin 4x+3\mid$
cbse
class12
bookproblem
ch6
sec5
q2
q2-4
p232
sec-a
easy
math
asked
Aug 6, 2013
by
sreemathi.v
1
answer
Find the maximum and minimum values, if any, of the following functions given by $ (iii) \: h(x) = \sin (2x)+5$
cbse
class12
bookproblem
ch6
sec5
q2
q2-3
p232
sec-a
easy
math
asked
Aug 6, 2013
by
sreemathi.v
1
answer
Find the maximum and minimum values, if any, of the following functions given by $ f (x) = -\mid x+1\mid+3$
cbse
class12
bookproblem
ch6
sec5
q2
q2-2
p232
sec-a
easy
math
asked
Aug 6, 2013
by
sreemathi.v
1
answer
Find the maximum and minimum values, if any, of the following functions given by?$(iv)\;f(x)=x^3+1$
cbse
class12
bookproblem
ch6
sec5
q1
q1-4
p231
sec-a
easy
math
asked
Aug 6, 2013
by
sreemathi.v
1
answer
Find the maximum and minimum values, if any, of the following functions given by?$f(x)=-(x-1)^2+10$
cbse
class12
bookproblem
ch6
sec5
q1
q1-3
p231
sec-a
easy
math
asked
Aug 6, 2013
by
sreemathi.v
1
answer
Find the maximum and minimum values, if any, of the following functions given by?$f(x)=9x^2+12x+2$
cbse
class12
bookproblem
ch6
sec5
q1
q1-2
p231
sec-a
easy
math
asked
Aug 6, 2013
by
sreemathi.v
1
answer
Using differentials, find the approximate value of each of the following up to 3 places of decimal. $(xv)\;(32.15)^{\Large\frac{1}{5}}$
cbse
class12
bookproblem
ch6
sec4
q1
q1-15
p216
sec-b
easy
math
asked
Aug 5, 2013
by
sreemathi.v
1
answer
Using differentials, find the approximate value of each of the following up to $3$ places of decimal. $(3.968)^{\Large\frac{3}{2}}$
cbse
class12
bookproblem
ch6
sec4
q1
q1-14
p216
sec-b
medium
math
asked
Aug 5, 2013
by
sreemathi.v
1
answer
Using differentials, find the approximate value of each of the following up to 3 places of decimal. $(xiii)\;(81.5)^{\Large\frac{1}{4}}$
cbse
class12
bookproblem
ch6
sec4
q1
q1-13
p216
sec-b
easy
math
asked
Aug 5, 2013
by
sreemathi.v
1
answer
Using differentials, find the approximate value of each of the following up to 3 places of decimal. $(xii)\;(26.57)^{\Large\frac{1}{3}}$
cbse
class12
bookproblem
ch6
sec4
q1
q1-12
p216
sec-b
easy
math
asked
Aug 5, 2013
by
sreemathi.v
1
answer
Using differentials, find the approximate value of each of the following up to 3 places of decimal. $(xi)\;(0.0037)^{\Large\frac{1}{2}}$
cbse
class12
bookproblem
ch6
sec4
q1
q1-11
p216
sec-b
easy
math
asked
Aug 5, 2013
by
sreemathi.v
1
answer
Using differentials, find the approximate value of each of the following up to 3 places of decimal. $(x)\;(401)^{\Large\frac{1}{2}}$
cbse
class12
bookproblem
ch6
sec4
q1
q1-10
p216
sec-b
easy
math
asked
Aug 5, 2013
by
sreemathi.v
1
answer
Using differentials, find the approximate value of each of the following up to 3 places of decimal. $(ix)\;(82)^{\Large\frac{1}{4}}$
cbse
class12
bookproblem
ch6
sec4
q1
q1-9
p216
sec-b
easy
math
asked
Aug 5, 2013
by
sreemathi.v
1
answer
Using differentials, find the approximate value of each of the following up to $3$ places of decimal. $(255)^{\Large\frac{1}{4}}$
cbse
class12
bookproblem
ch6
sec4
q1
q1-8
p216
sec-b
medium
math
asked
Aug 5, 2013
by
sreemathi.v
1
answer
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