Doubtnut
18,806 old videos with fewer than 5,000 views from this channel.
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1:46
IIT JEE SEQUENCES AND SERIES Determine the number of terms in a G.P., if `a_1=3,a_n=96 ,a n dS_n=...
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2:32
IIT JEE SEQUENCES AND SERIES If the continued product o three numbers in a G.P. is 216 and the su...
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4:30
IIT JEE COMPLEX NUMBERS AND QUADRATIC EQUATIONS A quadratic equation with integral coefficients h...
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2:06
IIT JEE TRIGONOMETRIC FUNCTIONS If `sinx+sin y+sinz+sinw=-4,`
then the value of `sin^(400)x+sin^...
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5:16
IIT JEE TRIGONOMETRIC FUNCTIONS The equation `2cos^2x/2sin^2x=x^2+x^(-2);0 lt xlt=pi/2`
has
no re...
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3:33
IIT JEE TRIGONOMETRIC FUNCTIONS Value of `(3+cot80^0cot20^0)/(cot80^0+cot20^0)`
is equal to
(a)...
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3:12
IIT JEE TRIGONOMETRIC FUNCTIONS If `tanalpha`
is equal to the integral solution of the inequalit...
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2:34
IIT JEE RELATIONS AND FUNCTIONS Determine the function satisfying `f^2(x+y)=f^2(x)+f^2(y)AAx ,y i...
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3:31
IIT JEE RELATIONS AND FUNCTIONS If `f: RvecR`
is a function satisfying the property `f(2x+3)+f(2x...
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3:02
IIT JEE SEQUENCES AND SERIES Let `S`
e the sum, `P`
the product, adn `R`
the sum of reciprocals o...
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1:41
IIT JEE SEQUENCES AND SERIES Prove that the sum to `n`
terms of the series `11+103+1005+ i s(10//...
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2:55
IIT JEE SEQUENCES AND SERIES Find the sum to `n`
terms of the sequence `(x+1//x)^2,(x^2+1//x)^2,(...
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3:15
If `a ,b ,c`
are three distinct positive real numbers, the number of real and
distinct roots...
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1:38
IIT JEE BINOMIAL THEOREM Find the sum of the coefficients in the expansion of `(1+2x+3x^2+ n x^n)...
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3:55
IIT JEE TRIGONOMETRIC FUNCTIONS If in a triangle `A B C ,(1+cosA)/a+(1+cosB)/b+(1_(cosC))/c`
`=(...
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1:56
IIT JEE BINOMIAL THEOREM Find the middle term in the expansion of `(x^2+1/(x^2)+2)^ndot`
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7:23
IIT JEE LIMITS AND DERIVATIVES Evaluate:
`lim_(x->oo) root(3)((x+1)(x+2)(x+3))-x`
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1:20
IIT JEE BINOMIAL THEOREM Find the sum of coefficients in `(1+x-3x^2)^(4163)dot`
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1:48
IIT JEE SEQUENCES AND SERIES The sum of infinite number of terms in G.P. is 20 and the sum of the...
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2:47
IIT JEE TRIGONOMETRIC FUNCTIONS Solve `4costheta-3sectheta=tantheta`
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4:33
IIT JEE SEQUENCES AND SERIES Let `x=1+3a+6a^2+10 a^3+ ,|a| lt 1.`
`y=1+4b+10 b^2+20 b^3+ ,|b| lt...
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2:46
IIT JEE TRIGONOMETRIC FUNCTIONS If `sec^4theta+sec^2theta=10+tan^4theta+tan^2theta,`
then `sin^2t...
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5:49
IIT JEE SEQUENCES AND SERIES If the sum `n`
terms of the series `(2n+1)/(2n-1)+3((2n+1)/(2n-1))^2...
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6:13
IIT JEE LIMITS AND DERIVATIVES Evaluate:
`("lim")_(xvecoo)x^3{sqrt(x^2+sqrt(1+x^4))-xsqrt(2)}`