Doubtnut
19,218 old videos with fewer than 5,000 views from this channel.
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2:50
IIT JEE LIMITS AND DERIVATIVES If `y=a x^(n+1)+b x^(-n),t h e nx^2(d^2y)/(dx^2)`
is equal to
`n(n...
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2:38
IIT JEE BINOMIAL THEOREM The number of distinct terms in the expansion of
`(x+1/x+x^2+1/(x^2))^(...
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3:34
IIT JEE BINOMIAL THEOREM Maximum sum of coefficient in the expansion of `(1-xsintheta+x^2)^n`
is
...
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4:20
IIT JEE BINOMIAL THEOREM If `(1+x-2x^2)^6=1+a_1x+a_2x^2+a_2x^3+ ,`
then the value of `a_2+a_4+a_6...
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2:55
IIT JEE SEQUENCES AND SERIES If A.M., G.M., and H.M. of the first and last terms of the series of...
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1:25
IIT JEE TRIGONOMETRIC FUNCTIONS In triangle `A B C ,`
let `/_c=pi/2dot`
If `r`
is the inradius an...
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3:47
IIT JEE SEQUENCES AND SERIES In a sequence of `(4n+1)`
terms, the first `(2n+1)`
terms are n A....
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3:03
IIT JEE LOGARITHM The inequality `sqrt(x^((log)_2sqrt(x)))geq2`
is satisfied by
(A) only one va...
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3:36
IIT JEE RELATIONS AND FUNCTIONS The period of the function
`f(x)=c^sin^2x+sin^(2(x+pi/3)+cosxcos(...
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2:50
IIT JEE TRIGONOMETRIC FUNCTIONS If `pi < x < 2pi,` prove that `(sqrt(1+cosx)+sqrt(1-cosx))...
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5:26
IIT JEE COMPLEX NUMBERS AND QUADRATIC EQUATIONS If `z_1a n dz_2`
are two complex numbers and `c g...
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4:31
IIT JEE TRIGONOMETRIC FUNCTIONS Evaluate `cosacos2acos3a cos 999 a ,`
where `a=(2pi)/(1999)dot`
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5:39
IIT JEE COMPLEX NUMBERS AND QUADRATIC EQUATIONS Given that `x^2-3x+1=0,`
then the value of the ex...
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4:26
Of any two chords of a circle show that the one which is nearer to the
centre is larger.
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6:05
IIT JEE RELATIONS AND FUNCTIONS Let `f(x)=sqrt(|x|-{x})(w h e r e{dot}`
denotes the fractional ...
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5:05
IIT JEE RELATIONS AND FUNCTIONS The number of roots of `x^2-2=[sinx],w h e r e[dot]`
stands for t...
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8:19
IIT JEE BINOMIAL THEOREM If `ka n dn`
are positive integers and `s_k=1^k+2^k+3^k++n^k ,`
then pro...
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4:16
IIT JEE TRIGONOMETRIC FUNCTIONS If ` A B C ,sinC+cosC+sin(2B+C)-cos(2B+C)=2sqrt(2.)`
Prove that ...
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4:53
IIT JEE TRIGONOMETRIC FUNCTIONS A ladder rest against a wall making an angle `alpha`
with the hor...
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7:56
IIT JEE BINOMIAL THEOREM Prove that
`sum_(r=1)^n(-1)^(r-1)(1+1/2+1/3++1/r)^n C_r=1/n`
.
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5:35
IIT JEE BINOMIAL THEOREM Prove that `sum_(r=0)^n^n C_rsinr xcos(n-r)x=2^(n-1)sin(n x)dot`
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2:16
If `t_n=1/4(n+2)(n+3)forn=1,2,3, ,`
then `1/(t_1)+1/(t_2)+1/(t_3)++1/(t_(2003))=`
`(4006)/(30...
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2:42
IIT JEE TRIGONOMETRIC FUNCTIONS In quadrilateral `A B C D ,`
if
`sin((A+B)/2)cos((A-B)/2)+"sin"((...
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2:13
JEE MAINS 2018 Show that `y=A x+B/x ,x!=0`
is a solution of the differential equation
`x^2(d^2y)...