Find the distance between $A (p, q)$ and $B (q, p)$ , if $p - q = 8$ .

8

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8 \sqrt{2}

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\sqrt{2}

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None

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Solution

The correct option is B $8 \sqrt{2}$
The given co-ordinates are $A (p, q)$ and $B (q, p)$ and $p - q = 8$ .
$∴$ By distance formula,
$A B = \sqrt{(p - q)^{2} + (q - p)^{2}}$
$= \sqrt{(8)^{2} + (- 8)^{2}} = \sqrt{64 + 64}$
$= \sqrt{64 (2)}$
$= 8 \sqrt{2}$
So, option B is correct.

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Find the distance between A(p,q) and B(q,p), if p−q=8.

The correct option is B 8√2The given co-ordinates are A(p,q) and B(q,p) and p−q=8.∴ By distance formula,AB=√(p−q)2+(q−p)2 =√(8)2+(−8)2=√64+64 =√64(2) =8√2So, option B is correct.

Find the distance between $A (p, q)$ and $B (q, p)$ , if $p - q = 8$ .

The correct option is B $8 \sqrt{2}$
The given co-ordinates are $A (p, q)$ and $B (q, p)$ and $p - q = 8$ .
$∴$ By distance formula,
$A B = \sqrt{(p - q)^{2} + (q - p)^{2}}$
$= \sqrt{(8)^{2} + (- 8)^{2}} = \sqrt{64 + 64}$
$= \sqrt{64 (2)}$
$= 8 \sqrt{2}$
So, option B is correct.