Doubtnut
581 old videos with fewer than 5,000 views from this channel.
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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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1:29
IIT JEE APPLICATION OF DERIVATIVES Prove that the function are increasing for the given intervals...
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3:43
IIT JEE BINOMIAL THEOREM Given `(1-2x+5x^2-10 x^3)(1+x)^n=1+a_1x+a_2x^2+`
and that`a1 2=2a_2`
the...
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3:48
IIT JEE BINOMIAL THEOREM The number `51^(49)+51^(48)+51^(47)++51+1`
is divisible by
a. 10 b. 20 c...
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6:04
IIT JEE BINOMIAL THEOREM Prove that `sum_(r=0)^(2n)(.^(2n)C_r)^2=n^(4n)C_(2n)`
.
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2:27
IIT JEE APPLICATION OF DERIVATIVES Discuss the extremum of
`f(x)=40/(3x^4+ 8x3-18 x^2+60)`
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3:26
IIT JEE INTEGRALS If `y=intsqrt(x)(1+x^(1/3))^4dx"i se q u a lto"`
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2:49
IIT JEE PERMUTATIONS AND COMBINATIONS In how many ways can a team of 6 horses be
selected out o...
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4:39
IIT JEE DETERMINANTS If `(x)=|alpha+xtheta+xlambda+xbeta+xvarphi+xmu+xgamma+xpsi+x v+x|`
show tha...
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6:16
IIT JEE COMPLEX NUMBERS AND QUADRATIC EQUATIONS If `alpha=e^(i2pi//7)a n df(x)=a_0+sum_(k-0)^(20)...
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5:34
IIT JEE COMPLEX NUMBERS AND QUADRATIC EQUATIONS If both the roots of `x^2+a x+2=0`
lies in the in...
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3:57
IIT JEE INTEGRALS Evaluate:
`("lim")_(nvecoo)((1^2+2^2+3^3++n^2)(1^3+2^3+3^3++n^3))/(1^6+2^6+3^6+...
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3:10
IIT JEE INTEGRALS Evaluate:
`int(2x-sqrt(sin^(-1)x))/(sqrt(1-x^2))dxdot`
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6:46
IIT JEE COMPLEX NUMBERS AND QUADRATIC EQUATIONS If roots of `x^2-(a-3)x+a=0`
are such that at lea...
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3:31
IIT JEE DETERMINANTS If `=|1 3costheta1s intheta1 3costheta1s intheta1|`
, then the value of `(_(...
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3:17
IIT JEE INTEGRALS Find the value of
`int_0^1 2x^3-3x^2-x+1 3dxdot`
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1:41
IIT JEE DIFFERENTIAL EQUATIONS Solution of `(dy)/(dx)+2x y=y`
is
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2:05
IIT JEE INTEGRALS Find the equation of tangent to
`y=int_(x^2)^(x^3)(dt)/(sqrt(1+t^2))a tx=1.`
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1:18
IIT JEE CONIC SECTIONS If the coordinates of a variable point `P`
are `(acostheta,bsintheta),`
wh...
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1:54
IIT JEE INTEGRALS Evaluate:
`int((cosx)/x-logx^(sinx))dxdot`
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1:25
IIT JEE MATRICES If `A`
is a singular matrix, then adj `A`
is
a. singular
b. non singular
c. sy...
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3:19
IIT JEE DIFFERENTIAL EQUATIONS spherical rain drop evaporates at a rate
proportional to its sur...
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1:46
IIT JEE APPLICATION OF DERIVATIVES Statement 1: Let `f(x)=sin(cos x)in[0,pi/2]dot`
Then `f(x)`
is...
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4:06
IIT JEE APPLICATION OF INTEGRALS If the area enclosed by curve `y=f(x)a n dy=x^2+2`
between the a...