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Recent questions tagged exercise6-1
Questions
A man wants to cut three length from a single piece of board of length 91 cm . The second length is to be 3 cm longer than the shortest , and third length is to be twice as long as shortest. What are the possible lengths of the shortest board, if the third piece is to be at least 5 cm longer than the second.
cbse
math
class11
ch6
linear-inequalities
exercise6-1
q26
asked
Jul 28, 2014
by
meena.p
1
answer
The longest side of a triangle is three times the shortest side and third side is $2\;cm$ shortest than the longest side. If the perimeter of the triangle is at least $61\; cm$ find the minimum length of the shortest side.
cbse
math
class11
ch6
linear-inequalities
exercise6-1
q25
asked
Jul 28, 2014
by
meena.p
1
answer
Find all pair of consecutive even positive integers, both of the which are larger than 5 such that their sum is less than 23.
cbse
math
class11
ch6
linear-inequalities
exercise6-1
q24
asked
Jul 28, 2014
by
meena.p
1
answer
Find all pairs of consecutive odd positive integers both of which are smaller than 10 such that their sum is more than 11.
cbse
math
class11
ch6
linear-inequalities
exercise6-1
q23
asked
Jul 28, 2014
by
meena.p
1
answer
To receive Grade $'A'$ in a course, one must obtain an average of $90$ marks or more in fine. examination (each of $100$ marks ) . If sunita's mark in first four examinations are $87,92,94 $ and $95$ find the minimum marks that sunita must obtains in the fifth examination to get grade $'A'$ in the corse
cbse
math
class11
ch6
linear-inequalities
exercise6-1
q22
asked
Jul 28, 2014
by
meena.p
1
answer
Ravi obtained 70 and 75 marks in first two unit tests. Find the minimum marks he should get in third test to have an average of at least 60 marks.
cbse
math
class11
ch6
linear-inequalities
exercise6-1
q21
asked
Jul 28, 2014
by
meena.p
1
answer
Solve the given inequality and show the graph of the solution on number line: $ \large\frac{x}{2} <\frac{(5x-2)}{3} - \frac{(7x-3)}{5}$
cbse
math
class11
ch6
linear-inequalities
exercise6-1
q20
asked
Jul 28, 2014
by
meena.p
1
answer
Solve the given inequality and show the graph of the solution on number line: $ 3(1-x) <2 (x +4)$
cbse
math
class11
ch6
linear-inequalities
exercise6-1
q19
asked
Jul 28, 2014
by
meena.p
1
answer
Solve the given inequality and show the graph of the solution on number line: $ 5x-3 < 3x -5$
cbse
math
class11
ch6
linear-inequalities
exercise6-1
q18
asked
Jul 28, 2014
by
meena.p
1
answer
Solve the given inequality and show the graph of the solution on number line: $ 3x-2 <2 x +1$
cbse
math
class11
ch6
linear-inequalities
exercise6-1
q17
asked
Jul 26, 2014
by
meena.p
1
answer
Solve the inequality for real $x: \large\frac{(2x-1)}{3} \geq \frac{(3x-2)}{4} -\frac{(2-x)}{5}$
cbse
math
class11
ch6
linear-inequalities
exercise6-1
q16
asked
Jul 26, 2014
by
meena.p
1
answer
Solve the inequality for real $x: \large\frac{x}{4} < \frac{(5x-2)}{3} - \frac{(7x-3)}{5}$
cbse
math
class11
ch6
linear-inequalities
exercise6-1
q15
asked
Jul 26, 2014
by
meena.p
1
answer
Solve the given inequalities for real $x: 37 -(3x+5) \geq 9x -8 (x-3)$
cbse
math
class11
ch6
linear-inequalities
exercise6-1
q14
asked
Jul 25, 2014
by
meena.p
1
answer
Solve the inequality for real $x: 2(2x+3) -10 < 6(x-2)$
cbse
math
class11
ch6
linear-inequalities
exercise6-1
q13
asked
Jul 25, 2014
by
meena.p
1
answer
Solve the inequality for real $x: \large\frac{1}{2} \bigg(\large\frac{3x}{5} +4 \bigg) $$ \geq \large\frac{1}{3} $$(x-6)$
cbse
math
class11
ch6
linear-inequalities
exercise6-1
q12
asked
Jul 25, 2014
by
meena.p
1
answer
Solve the given inequality for real $x: \large\frac{3(x-2)}{5} \leq \large\frac{5(2-x)} {3}$
cbse
math
class11
ch6
linear-inequalities
exercise6-1
q11
asked
Jul 25, 2014
by
meena.p
1
answer
Solve the inequality for real $x, \large\frac{x}{3} > \frac{x}{2} $$+1$
cbse
math
class11
ch6
linear-inequalities
exercise6-1
q10
asked
Jul 25, 2014
by
meena.p
1
answer
Solve the given inequality for real $x. x +\large\frac{x}{2} +\frac{x}{3} $$ <11$
cbse
math
class11
ch6
linear-inequalities
exercise6-1
q9
asked
Jul 25, 2014
by
meena.p
1
answer
Solve the inequality for real $x, 3(2-x) \geq 2(1-x) $
cbse
math
class11
ch6
linear-inequalities
exercise6-1
q8
asked
Jul 25, 2014
by
meena.p
1
answer
Solve the inequality for real $x 3(x-1) \leq 2(x-3)$
cbse
math
class11
ch6
linear-inequalities
exercise6-1
q7
asked
Jul 25, 2014
by
meena.p
1
answer
Solve the inequality for real $x: 3x-7 > 4x -5$
cbse
math
class11
ch6
linear-inequalities
exercise6-1
q6
asked
Jul 25, 2014
by
meena.p
1
answer
Solve the given inequality for real $x: 4x+3 < 5x +7$
cbse
math
class11
ch6
linear-inequalities
exercise6-1
q5
asked
Jul 25, 2014
by
meena.p
1
answer
Solve $3 x+8 > 2$ when (i) x is an integer (ii) x is a real number
cbse
math
class11
ch6
linear-inequalities
exercise6-1
q4
asked
Jul 25, 2014
by
meena.p
1
answer
Solve $5 x-3 < 7 $ when (i) x is an integer (ii) x is a real number
cbse
math
class11
ch6
linear-inequalities
exercise6-1
q3
asked
Jul 25, 2014
by
meena.p
1
answer
Solve $-12 x > 30$ when (i) x is a natural number (ii) x is an integer
cbse
math
class11
ch6
linear-inequalities
exercise6-1
q2
asked
Jul 25, 2014
by
meena.p
1
answer
Solve $24 x < 100$ when (i) x is a natural number (ii) x is an integer
cbse
math
class11
ch6
linear-inequalities
exercise6-1
q1
asked
Jul 25, 2014
by
meena.p
1
answer
Using Euler's theorem prove the following: if$\;V=x^{ax+by}$ and $\;z$ is a homogenous function of degree $\;n$ in $\;x$ and $\;y$ prove that $\;x=\large\frac{\partial v}{\partial x}$+$y\large\frac{\partial v}{\partial y}$=$(ax+by+n)V.$
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p74
q5
q5-4
asked
Apr 26, 2013
by
poojasapani_1
0
answers
Using Euler's theorem prove the following: if $u$ is a homogenous function of $x$ and $y$ of degree$\;n$, prove that$\;x\large\frac{\partial^{2} u}{\partial x^{2}}$+$y\large\frac{\partial^{2}u}{\partial x\partial y}$=$(n-1)\large\frac{\partial u}{\partial x}$
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p74
q5
q5-3
asked
Apr 26, 2013
by
poojasapani_1
0
answers
If$\;u=e^{y}\sin y\frac{x}{y}+e^{y}\cos x \frac{y}{x},$ Show that $x\large\frac{\partial u}{\partial x}+y\frac{\partial u}{\partial y}=o$
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p74
q2
asked
Apr 25, 2013
by
poojasapani_1
0
answers
The radius of a circular disc is given as $24cm$ with a maximum error in mesurement of $0.02cm $ compute the relative error?
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p79
q5
q5-2
asked
Apr 24, 2013
by
poojasapani_1
1
answer
The radius of a circular disc is given as $24cm$ with a maximum error in mesurement of $0.02cm$ Use differentials to estimate the maximum error in the calculated area of the dise.
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p79
q5
q5-1
asked
Apr 24, 2013
by
poojasapani_1
1
answer
The edge of a cube was found to be $30cm$ with a possible error in mesurement of $ 0.1cm$. Use differentials to estimate the maximum possible error in computing the surfacearea of the cube .
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p79
q4
q4-2
asked
Apr 24, 2013
by
poojasapani_1
1
answer
The edge of a cube was found to be $30cm$ with a possible error in mesurement of $ 0.1cm$. Use differentials to estimate the maximum possible error in computing the volume of the cube .
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p79
q4
q4-1
asked
Apr 24, 2013
by
poojasapani_1
1
answer
Use differentials to find an approximate value for the given numbers $(1.97)^{6}$
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p79
q3
q3-4
asked
Apr 24, 2013
by
poojasapani_1
1
answer
Use differentials to find an approximate value for the given numbers\[\]$y=3\sqrt{1.02}+4\sqrt{1.02}$
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p79
q3
q3-3
asked
Apr 24, 2013
by
poojasapani_1
1
answer
Use differentials to find an approximate value for the given numbers $\large\frac{1}{10.1}$
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p79
q3
q3-2
asked
Apr 24, 2013
by
poojasapani_1
1
answer
Use differentials to find an approximate value for the given numbers $\sqrt{36.1}$
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p79
q3
q3-1
modelpaper
oct-2009
asked
Apr 24, 2013
by
poojasapani_1
1
answer
Find the differential $dy$ and evaluate $dy$ for the given values of $x$ and $dx$\[\]$y=\cos$$x,x=\large\frac{\pi}{6},$$dx=0.05$
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p79
q2
q2-5
asked
Apr 24, 2013
by
poojasapani_1
1
answer
Find the differential $dy$ and evaluate $dy$ for the given values of $x$ and $dx$\[\]$y=\sqrt{1-x},x=0,dx=0.02$
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p79
q2
q2-4
asked
Apr 24, 2013
by
poojasapani_1
1
answer
Find the differential $dy$ and evaluate $dy$ for the given values of $x$ and $dx$\[\]$y=(x^{2}+5)^{3},x=1,dx=0.1$
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p79
q2
q2-3
asked
Apr 24, 2013
by
poojasapani_1
1
answer
Find the differential $dy$ and evaluate $dy$ for the given values of $x$ and $dx$\[\]$y$=$x^{4}-3x^{2}+x-1,x$$=2,dx$$=0.1$
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p79
q2
q2-2
asked
Apr 24, 2013
by
poojasapani_1
1
answer
Find the differential $dy$ and evaluate $dy$ for the given values of $x$ and $dx$\[\] $y$$=1-x^{2},x$$=5,dx$$=\large\frac{1}{2}$
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p79
q2
q2-1
asked
Apr 24, 2013
by
poojasapani_1
1
answer
Find the differential of the functions.$y$=$x\tan$$x$
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p73
q1
q1-6
asked
Apr 24, 2013
by
poojasapani_1
1
answer
Find the differential of the functions. $y$=$\sin$$2x$
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p73
q1
q1-5
asked
Apr 24, 2013
by
poojasapani_1
1
answer
Find the differential of the functions. $y$=$\large\frac{x-2}{2x+3}$
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p73
q1
q1-4
asked
Apr 24, 2013
by
poojasapani_1
1
answer
Find the differential of the functions. $y$=$\sqrt{x^{4}+x^{2}+1}$
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p73
q1
q1-3
asked
Apr 24, 2013
by
poojasapani_1
1
answer
Find the differential of the functions.$y$=$4\sqrt{x}$
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p74
q1
q1-2
asked
Apr 24, 2013
by
poojasapani_1
1
answer
Find the differential of the functions.$y$$=x^{5}$
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p73
q1
q1-1
asked
Apr 24, 2013
by
poojasapani_1
1
answer
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