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Recent questions tagged exercise8-1
Questions
Show that $9^{n+1} – 8n – 9$ is divisible by $64$, whenever $n$ is a positive integer.
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q12
sec-b
medium
asked
Apr 10, 2014
by
balaji.thirumalai
1
answer
Find $(x+1)^6 + (x – 1)^6$. Hence, evaluate $( \sqrt2 + 1)^6+(\sqrt 2 –1)^6$.
cl37644
cl37642
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q12
sec-b
medium
asked
Apr 10, 2014
by
balaji.thirumalai
1
answer
Find $ (a + b)^4 - (a - b)^4.$ Hence, evaluate $( \sqrt3 + \sqrt2)^4 - (\sqrt 3 - \sqrt 2)^4$.
cl37642
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q11
sec-b
medium
asked
Apr 10, 2014
by
balaji.thirumalai
1
answer
Using Binomial Theorem, indicate which number is larger $(1.1)^{10000}$ or $1000$.
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q10
sec-a
medium
asked
Apr 10, 2014
by
balaji.thirumalai
1
answer
Using Binomial Theorem, evaluate $101^4$
cl37637
cl37632
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q8
easy
sec-a
asked
Apr 10, 2014
by
balaji.thirumalai
1
answer
Using Binomial Theorem, evaluate $99^5$
cl37632
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q9
easy
sec-a
asked
Apr 10, 2014
by
balaji.thirumalai
1
answer
Using Binomial Theorem, evaluate $102^6$
cl37632
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q7
easy
sec-a
asked
Apr 10, 2014
by
balaji.thirumalai
1
answer
Using Binomial Theorem, evaluate $96^3$.
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q6
easy
sec-a
asked
Apr 10, 2014
by
balaji.thirumalai
1
answer
Expand the expression: $(x + \large\frac{1}{x}$$)^6$
cl37497
cl37493
easy
sec-a
cl37489
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q5
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
Expand the expression: $\large(\frac{x}{3} + \frac{1}{x})$$^5$
cl37493
easy
sec-a
cl37489
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q4
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
Expand the expression: $(2x-3)^6$
cl37493
cl37489
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q3
easy
sec-a
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
Expand the expression: $\large(\frac{2}{x} - \frac{x}{2})$$^5$
easy
sec-a
cl37489
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q2
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
Expand the expression: $(1-2x)^5$
easy
sec-a
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q1
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
Find the differential equation that will represent the family of all circles having centres on the X-axis and the radius is unity.
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p129
q3
q3-4
asked
Apr 15, 2013
by
poojasapani_1
1
answer
Find the differential equation of family of straight lines $y=mx+\large\frac{a}{m}$ When $a , m, $ both are parameters.
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
q3
q3-3
asked
Apr 15, 2013
by
poojasapani_1
1
answer
Find the differential equation of family of straight lines $y=mx+\large\frac{a}{m}$ When $a$ is the parameter.
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p129
q3
q3-2
asked
Apr 15, 2013
by
poojasapani_1
1
answer
Find the differential equation of family of straight lines $y=mx+\large\frac{a}{m}$ When $m$ is the parameter.
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p129
q3
q3-1
asked
Apr 15, 2013
by
poojasapani_1
1
answer
Form the differential equuations by eliminating arbitary constants given in brackets against each. $y=Ae^{2x} \cos (3x , +B ) [A , B ]$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p129
q2
q2-9
asked
Apr 15, 2013
by
poojasapani_1
1
answer
Form the differential equuations by eliminating arbitary constants given in brackets against each $y=e^{mx} [m] $
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p129
q2
q2-8
asked
Apr 15, 2013
by
poojasapani_1
1
answer
Form the differential equuations by eliminating arbitary constants given in brackets against each. $y= e^{3x}(C \cos 2x +D \sin 2x ) [C , D ]$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p129
q2
q2-7
asked
Apr 15, 2013
by
poojasapani_1
1
answer
Form the differential equuations by eliminating arbitary constants given in brackets against each $y=(A+Bx)^{e^{\Large 3x}} [A , B ] $
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p129
q2
q2-6
asked
Apr 15, 2013
by
poojasapani_1
1
answer
Form the differential equuations by eliminating arbitary constants given in brackets against each. $ y=Ae^{2x}+Be^{-5x} [A , B ]$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p129
q2
q2-5
asked
Apr 15, 2013
by
poojasapani_1
1
answer
Form the differential equuations by eliminating arbitary constants given in brackets against each. $\large \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}$$=1 [a , b ] $
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p129
q2
q2-4
asked
Apr 15, 2013
by
poojasapani_1
1
answer
Form the differential equuations by eliminating arbitary constants given in brackets against each. $xy =c^{2} [$c$]$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p129
q2
q2-3
asked
Apr 14, 2013
by
poojasapani_1
1
answer
Form the differential equuations by eliminating arbitary constants given in brackets against each. $y=ax^{2} +bx + c[a , b ]$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p129
q2
q2-2
asked
Apr 14, 2013
by
poojasapani_1
1
answer
Form the differential equuations by eliminating arbitary constants given in brackets against each. $y^{2}=4ax [a]$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p129
q2
q2-1
asked
Apr 14, 2013
by
poojasapani_1
1
answer
Find the order and degree of the following differential equation: $\sin x (dx + dy) =\cos x (dx - dy )$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p128
q1
q1-10
asked
Apr 14, 2013
by
poojasapani_1
1
answer
Find the order and degree of the following differential equation: $\big(\large\frac{dy}{dx}) ^{2} +x=\large\frac{dx}{dy}+x^{2}$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p128
q1
q1-9
asked
Apr 14, 2013
by
poojasapani_1
1
answer
Find the order and degree of the following differential equation: $y'+ (y'')^{2}$=$ x( x+y'' )^{2}$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p128
q1
q1-8
asked
Apr 14, 2013
by
poojasapani_1
1
answer
Find the order and degree of the following differential equation: $y'+ (y'')^{2}=(x+y'')^{2}$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p128
q1
q1-7
asked
Apr 14, 2013
by
poojasapani_1
1
answer
Find the order and degree of the following differential equation: $y''$=$ (y-y')^{\frac{2}{3}}$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p128
q1
q1-6
asked
Apr 14, 2013
by
poojasapani_1
1
answer
Find the order and degree of the following differential equation: $\large\frac{d^{2}y}{dx^{2}}-y+(\large\frac{dy}{dx}+\frac{d^{3}y}{dx^{3}})^{\frac{3}{2}}$=$0$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p128
q1
q1-5
asked
Apr 14, 2013
by
poojasapani_1
1
answer
Find the order and degree of the following differential equation: $\large\frac{d^{2}y}{dx^{2}}+x$=$\sqrt{y+\large\frac{dy}{dx}}$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p128
q1
q1-4
asked
Apr 14, 2013
by
poojasapani_1
1
answer
Find the order and degree of the following differential equation: $y''+3y'^{2}+y^{3}$=$0$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p128
q1
q1-3
asked
Apr 14, 2013
by
poojasapani_1
1
answer
Find the order and degree of the following differential equation: $y'+y^{2}$=$x$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p128
q1
q1-2
asked
Apr 14, 2013
by
poojasapani_1
1
answer
Find the order and degree of the following differential equation: $\large\frac{dy}{dx}+y$=$x^{2}$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p128
q1
q1-1
asked
Apr 14, 2013
by
poojasapani_1
1
answer
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