If a and b are the real and imaginary part of the square root of the complex number 8-15 i- then a - b isA- Always Negative NumberB- Always Positive NumberC- zeroD- Can-t say

Since, imaginary part of 8 15i is negative so, square root of 8 15i should be ± ( a ib ). Always a and b will be of opposite sign. So, a × b will be al ...

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Standard XII

Mathematics

Inverse of a Matrix

If a and b ar...

Question

If a and b are the real and imaginary part of the square root of the complex number 8 - 15i, then a $\times$ b is _____?

Always Positive Number

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Always Negative Number

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zero

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Can't say

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Solution

The correct option is B
Always Negative Number

Since, imaginary part of 8 - 15i is negative so, square root of 8 - 15i should be $\pm (a - i b)$ .

Always a and b will be of opposite sign.

So, a $\times$ b will be always be negative.

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If a and b are the real and imaginary part of the square root of the complex number 8 - 15i, then a×b is _____?

The correct option is B Always Negative Number Since, imaginary part of 8 - 15i is negative so, square root of 8 - 15i should be ±(a−ib). Always a and b will be of opposite sign. So, a × b will be always be negative.

If a and b are the real and imaginary part of the square root of the complex number 8 - 15i, then a $\times$ b is _____?

The correct option is B
Always Negative Number

Since, imaginary part of 8 - 15i is negative so, square root of 8 - 15i should be $\pm (a - i b)$ .

Always a and b will be of opposite sign.

So, a $\times$ b will be always be negative.