The points A(5, -1, 1); B(7, -4, 7); C(1, -6, 10) and D(-1, -3, 4) are vertices of a [RPET 2000]

Square

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Rhombus

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Rectangle

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None of these

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Solution

The correct option is B
Rhombus

$∵$ AB = BC = CD = DA = 7. Also $\to A B . \to B C \neq 0$
$∴$ ABCD is not squre. It is rhombus.

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Similar questions

The points A(5, -1, 1); B(7, -4, 7); C(1, -6, 10) and D(-1, -3, 4) are vertices of a [RPET 2000]

The points (5, – 4, 2), (4, –3, 1), (7, – 6, 4) and (8, –7, 5) are the vertices of [RPET 2002]

Q. Suppose

a_{2}, a_{3}, a_{4}, a_{5}, a_{6}, a_{7}

are integers such that

\frac{5}{7} = \frac{a_{2}}{2!} + \frac{a_{3}}{3!} + \frac{a_{4}}{4} + \frac{a_{5}}{5!} + \frac{a_{6}}{6!} + \frac{a_{7}}{7!}

where

0 \leq a < j

for

j = 2, 4, 5, 6, 7.

The sum

a_{2} + a_{3} + a_{4} + a_{5} + a_{6} + a_{7}

Q. Suppose

a_{2}, a_{3}, a_{4}, a_{5}, a_{6}, a_{7}

are intagers such that

\frac{5}{7} = \frac{a_{2}}{2!} + \frac{a_{3}}{3!} + \frac{a_{4}}{4!} + \frac{a_{5}}{5!} + \frac{a_{6}}{6!} + \frac{a_{7}}{7!}

where

0 \leq a_{j} < j

for

j = 2, 3, 4, 5, 6, 7

. The sum

a_{2} + a_{3} + a_{4} + a_{5} + a_{6} + a_{7}

is-

Suppose $a_{2}, a_{3}, a_{4}, a_{5}, a_{6}, a_{7}$ are integers such that $\frac{5}{7} = \frac{a_{2}}{2!} + \frac{a_{3}}{3!} + \frac{a_{4}}{4!} + \frac{a_{5}}{5!} + \frac{a_{6}}{6!} + \frac{a_{7}}{7!}$ where 0 $\leq$ a< j for j= 2,4,5,6,7.

The sum $a_{2} + a_{3} + a_{4} + a_{5} + a_{6} + a_{7}$ is

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The points A(5, -1, 1); B(7, -4, 7); C(1, -6, 10) and D(-1, -3, 4) are vertices of a [RPET 2000]

The correct option is B Rhombus ∵ AB = BC = CD = DA = 7. Also →AB.→BC≠0 ∴ ABCD is not squre. It is rhombus.

The correct option is B
Rhombus

$∵$ AB = BC = CD = DA = 7. Also $\to A B . \to B C \neq 0$
$∴$ ABCD is not squre. It is rhombus.