If (1 + i) (1 + 2i) (1 + 3i) ….. (1 + ni) = a + ib, then what is 2 * 5 * 10….(1 + n²) is equal to? A)1+n^(2 ) B)x²-y² c)x²+y² d) none of these

Chapter: Uncategorized· Mathematics

If (1 + i) (1 + 2i) (1 + 3i) ….. (1 + ni) = x + iy, then what is 2 * 5 * 10….(1 + n2) is equal to?

If (1 + i) (1 + 2i) (1 + 3i) ….. (1 + ni) = a + ib, then what is 2 * 5 * 10….(1 + n²) is equal to?

A)1+n²

B)x²-y²

c)x²+y²

d) none of these

Doubtly Asked 27 Mar 2021 Student doubt jeemain Save WhatsApp Report

Best answer

option C) is the correct

detailed solution ::

We have (1 + i) (1 + 2i) (1 + 3i) ….. (1 + ni) = x + iy …..(i)

(1 − i) (1 − 2i) (1 − 3i) ….. (1 − ni) = x − iy …..(ii)

Multiplying (i) and (ii),

we get 2 * 5 * 10 ….. (1 + n²) = x² + y²

Doubtly · 27 Mar 2021 Report

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