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-A- SquareB- RectangleC- None of theseD- Rhombus

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

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Distance Formula

The points A ...

Question

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

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Similar questions

(5, - 1, 1), (7, - 4, 7), (1, - 6, 10)

(- 1, - 3, 4)

Verify the following :

(i) (0, 7, -10), (1, 6, -6) and (4, 9, -6) are vertices of an isosceles triangle.

(ii) (0, 7, 10), (-1, 6, 6) and (-4, 9, 6) are vertices of a right-angled triangle.

(iii) (-1, 2, 1), (1, -2, 5), (4, -7, 8) and (2, -3, 4) are vertices of a parallelogram.

(iv) (5, -1, 1), (7, -4, 7) , (1, -6, 10) and (-1,-3, 4) are vertices of a rhombus.

(5, - 1, 1) (7, - 4, 7), (1, - 6, 10) (- 1, - 3, 4)

A = (5, - 1, 1), B = (7, - 4, 7), C = (1, - 6, 10), D = (- 1, - 3, 4)

A B C D

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