If a- b- h- k are constants- while U and V are U - X - a-h- V - Y - b-k- then

Explanation for the correct option:Given, U = X a/h, V = Y b/k⇒ X = hU + a, Y = kV + b∴𝐶𝑜𝑣(𝑋,𝑦)=ℎ𝑘𝐶𝑜𝑣(𝑈,𝑣) ...

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Standard XIII

Mathematics

Logarithm of a Complex Number

If a, b, h, k...

Question

If $a, b, h, k$ are constants, while $U$ and $V$ are $U = \frac{X - a}{h}, V = \frac{Y - b}{k}$ , then

$C o v (X, Y) = C o v (U, V)$

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$C o v (X, Y) = h k C o v (U, V)$

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$C o v (X, Y) = a b C o v (U, V)$

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$C o v (U, V) = h k C o v (X, Y)$

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Solution

The correct option is B
$C o v (X, Y) = h k C o v (U, V)$

Explanation for the correct option:
Given, $U = \frac{X - a}{h}, V = \frac{Y - b}{k}$
$\Rightarrow$ $X = h U + a, Y = k V + b$
$∴ C o v (X, y) = h k C o v (U, v)$ $[∵ (A X + B, C Y + D) = A C C o v (x, y)]$
Hence, Option ‘B’ is Correct.

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If a,b,h,k are constants, while U and V are U=X-ah,V=Y-bk, then

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If $a, b, h, k$ are constants, while $U$ and $V$ are $U = \frac{X - a}{h}, V = \frac{Y - b}{k}$ , then