If $¯ ¯¯¯¯¯¯ ¯ P Q$ is the diameter of a circle whose center is $R$ . If the coordinates of $P$ and $Q$ are $(4, 8)$ and $(8, 4)$ , what are the coordinates of $R$ ?

(6, 6)

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(6, 7)

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(3, 6)

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None of these

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Solution

The correct option is C $(6, 6)$
As PQ is dia d'R' is centre
$∴$ 'R' is mid pt. at PQ
$\Rightarrow R = (\frac{4 + 8}{2}, \frac{8 + 4}{2})$
$\Rightarrow (6, 6)$ .

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If ¯¯¯¯¯¯¯¯PQ is the diameter of a circle whose center is R. If the coordinates of P and Q are (4,8) and (8,4), what are the coordinates of R?

The correct option is C (6,6)As PQ is dia d'R' is centre∴ 'R' is mid pt. at PQ⇒R=(4+82,8+42)⇒(6,6).

If $¯ ¯¯¯¯¯¯ ¯ P Q$ is the diameter of a circle whose center is $R$ . If the coordinates of $P$ and $Q$ are $(4, 8)$ and $(8, 4)$ , what are the coordinates of $R$ ?

The correct option is C $(6, 6)$
As PQ is dia d'R' is centre
$∴$ 'R' is mid pt. at PQ
$\Rightarrow R = (\frac{4 + 8}{2}, \frac{8 + 4}{2})$
$\Rightarrow (6, 6)$ .