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Two Dimensional Object

49. The value...

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49. The value of 5-26

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If 3a - 7b = 26 and ab = 5, then the value of 9a² + 49b².

Q. The value of

{(\sqrt{5} + 2)}^{6} + {(\sqrt{5} - 2)}^{6}

Q. Find the value of
{(26-15√3)/[5√2-√(38+5√3)²}+[(√10+√18)/(√8+√(3-√5)]

(A) 1/3
(B) 2/3
(C) 3/5
(D) 7/3
(E) None

(question from IMO Olympiad 2016 qno.49 of vedantu)

Q. The value of

lim x \to \infty \frac{(x + 1)^{10} + (x + 3)^{10} + (x + 5)^{10} + \dots + (x + 49)^{10}}{(x + 2)^{10} + (x + 4)^{10} + (x + 6)^{10} + \dots + (x + 26)^{10}}

Q. The value of

\sqrt{5 + \sqrt{11 + \sqrt{19 + \sqrt{29 + \sqrt{49}}}}}

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