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1)Find the value of \fn_jvn \frac{\sum_{r=0}^{24}\binom{100}{r}\binom{100}{4r+2}}{\sum_{r=1}^{25}\binom{200}{8r-6}} 2)The largest term of the sequence 1/503 , 4/524 , 9/581 , 16/692 ... is 49/1529p Find p? 3)No of solutions o ...
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\hspace{-16}\bf{(1)\;\; \mathbb{F}}$ind $\mathbb{L}$ast $\bf{2}$ Digit of $\bf{7^{7^{7^{7}}}}$\\\\\\ $\bf{(2)\;\; \mathbb{F}}$ind $\mathbb{R}$emainder When $\bf{2222^{5555}+5555^{2222}}$ is Divided by $\bf{7}$. ...
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The greatest value of x3y4 if 2x+3y=7 and x, y ≥ 0 ...
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Temperature increase by 100°C, when 2075 J heat given to 1mol of ideal gas at constant pressure.Find out the change in internal energy and work done by the gas. Given Cv=12.45J mole-1K-1 ...
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1)[easy] Prove that: \dpi{200} asin(x)+bcos(x)\leq \sqrt{a^{2}+b^{2}} 2)[hard] Prove that for any triangle with sides a,b,c and area A. \inline \dpi{200} a^{2}+b^{2}+c^{2}\geq 4\sqrt{3}A 3)[harder] How should n balls be put i ...
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What will be the total number of squares in a chessboard ? ...
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@ circles are drawn thru the pts(a,5a) and (4a,a) to touch y axis.Prove that they intersect at tan-1(40/9) ...
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solve (x+3)4+(x+5)4≥4 ...
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FIND THE LOCUS OF THE COMPLEX NUMBER FOLLOWING THE RELATIONS arg(z-1)=pi/4 AND |z-2-3i|=2. ...
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What would your bathroom scale read if you weighed yourself on an inclined plane? ...
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