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\dpi{120} \hspace{-16}(1)::\; $Find acute Angle b/w 2 -Curves $\mathbf{C_{1}:x^2+y^2=8}$ and $\mathbf{C_{2}:x^2+y^2=4x}$.\\\\ (2)::\;Find Least distance b/w the curves $\mathbf{xy=9}$ and $\mathbf{x^2+y^2=1}$. ...
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\hspace{-16}(1)::\mathbf{\int e^{\sin x}\left(\frac{x.\cos^3 x-\sin x}{\cos^2 x}\right)dx}\\\\\\ (2)::\mathbf{\int\frac{\sin x.\cos x}{\sin x+\cos x}dx}$ ...
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(1) The work function of a certain metal is 3.31×10–19 J. Then the maximum kinetic energy of photo electrons emitted by incident photons of wave length 5000 Ǻ is (given h = 6.62×10–34 Js, c = 3×108 ms–1, e = 1.6×10 ...
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\hspace{-16}(1):\; \mathbf{\int x\sqrt{1+\sin x}dx}\\\\\\ (2):\; \mathbf{\int_{0}^{\pi}\frac{2+2(x+1)\sin x-(x^2+1)\cos^2 x}{\sin x-x\cos x+1}dx}\\\\\\ (3):\;\mathbf{\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\frac{\cos^2 x}{(e^x+1 ...
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$If $\mathbf{\color{red}f(x)=\frac{(x-a).(x-b)}{(c-a)(c-b)}+\frac{(x-b).(x-c)}{(a-b)(a-c)}+\frac{(x-c).(x-a)}{(b-c)(b-a)}}$\\\\\\ Then find $\mathbf{\color{green}\frac{d}{dx}\left(f(x)\right)=}$ ...
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SUGGEST ME THE NAMES OF BOOKS THAT HELP ME TO CLEAR MY BASIC CONCEPTS IN MATHS , PHYSICS AND CHEMISTRY. ...
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If sinx+tanx=5/6 find sinx*tanx. By converting everything to sinx we get a quartic equation but how to solve that? ...
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If S=.99999999.......∞ then 10S=9.9999999.....∞ then 9S=9 then S=1 ????? ...
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If sinx+tanx=5/6 find sinx*tanx. By converting everything to sinx we get a quartic equation but how to solve that? ...
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Prove that if the equation ax2+ bx+ c= 0 has real roots then b2≥4ac Prove this in as many ways you can. nishant sir,i hope u wnt mind me posting qns ;) @ Beginners: If u think this is useless , u will surely miss some thing ...