Doubtnut
19,218 old videos with fewer than 5,000 views from this channel.
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2:32
If `|x| lt1,t h e n1+n((2x)/(1+x))+(n(n+1))/(2!)((2x)/(1+x))^2+`
is equal to
`((2x)/(1+x))^n`
b...
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2:15
IIT JEE BINOMIAL THEOREM The sum of `1+n(1-1/x)+(n(n+1))/(2!)(1-1/x)^2+oo`
will be
`x^n`
b. `x^(-...
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4:15
IIT JEE PERMUTATIONS AND COMBINATIONS Find the number ordered pairs `(x ,y)ifx ,y in {0,1,2,3, , ...
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2:59
IIT JEE TRIGONOMETRIC FUNCTIONS Suppose `alpha,beta,gammaa n ddelta`
are the interior angles of r...
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2:19
IIT JEE SEQUENCES AND SERIES If `b_(n+1)=1/(1-b_n)forngeq1a n db_1=b_3, t h e nsum_(r=1)^(2001)b ...
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2:32
IIT JEE BINOMIAL THEOREM Find the value of `x ,`
for which `1//(sqrt(5+4x))`
can be expanded as i...
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3:15
IIT JEE RELATIONS AND FUNCTIONS If `f: Xrarry ,`
where `Xa n dY`
are sets containing natural nu...
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2:38
JEE MAINS 2018 Verify that
`y=log(x+^sqrt(x^2+a^2))^2`
satisfies the differential equation
`(...
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1:43
IIT JEE TRIGONOMETRIC FUNCTIONS Given both `thetaa n dphi`
are acute angles and `sintheta=1/2,co...
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2:31
IIT JEE BINOMIAL THEOREM Value of `sum_(k=1)^oosum_(r=0)^k1/(3^k)(^k C_r)`
is
`2/3`
b. `4/3`
c. ...
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1:44
IIT JEE BINOMIAL THEOREM The coefficient of `x^5in(1+2x+3x^2+)^(-3//2)i s(|x| lt 1)`
`21`
b. `25...
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2:07
IIT JEE BINOMIAL THEOREM If `|x| lt 1,`
then the coefficient of `x^n`
in expansion of `(1+x+x^2+x...
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2:12
In Figure, `O A`
and `O B`
ar respectively perpendiculars to chords `C D`
and `E F`
of a circle...
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2:28
The value of `sum_(r=0)^(n-1)^n C_r//(^n C_r+^n C_(r+1))`
equals
a. `n+1`
b. `n//2`
c. ...
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2:00
IIT JEE BINOMIAL THEOREM If the third term in the expansion of `(1+x)^mi s-1/8x^2,`
then find the...
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3:10
IIT JEE PERMUTATIONS AND COMBINATIONS Find the remainder when `1!+2!+3!+4!++n !`
is divided by 15...
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3:40
IIT JEE TRIGONOMETRIC FUNCTIONS Let `A B Ca n dA B C '`
be two non-congruent triangles with sides...
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1:25
The angle in a semi-circle is a right angle.
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2:09
Angle in the same segment of a circle are equal.
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10:24
IIT JEE PERMUTATIONS AND COMBINATIONS Show that `1!+2!+3!++n !`
cannot be a perfect square for an...
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1:36
IIT JEE TRIGONOMETRIC FUNCTIONS Given `A=sin^2theta+cos^4theta,`
then for all real `theta,`
(...
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1:10
IIT JEE PERMUTATIONS AND COMBINATIONS A variable name in certain computer language must
be eith...
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5:54
Solve:
`(x+1)(dy)/(dx)=2x y`
`cosx(1+cosy)dx-s in y(1+sinx)dy=0`
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1:31
IIT JEE TRIGONOMETRIC FUNCTIONS If `alpha+beta+gamma=2pi,`
then
(a) `tan(alpha/2)+tan(beta/2)+t...