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The points $P (a, b), Q (c, d), R (a, d)$ and $S (c, b),$ where $a, b, c,$ dare distinct real numbers, are

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vertices of a square

vertices of a rhombus

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Correct option is B

We have,Slope of PS=0=Slope of QRand, Slope of PR=∞=Slope of QS⇒ PS and QR are parallel to x-axis and PR and QS are parallel to y-axis.⇒ PQRS is a rectangle.Also, PQ=RS.Hence, PQRS is a square.

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The points P (a, b), Q (c, d), R (a, d) and S ( c, b), where a, b, c, dare distinct real numbers, are

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The points $P (a, b), Q (c, d), R (a, d)$ and $S (c, b),$ where $a, b, c,$ dare distinct real numbers, are