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Rhombus

Is quadrilate...

Question

Is quadrilateral ABCD a rhombus?
I. Quad. ABCD is a || gm.
II. Diagonals AC and BD are perpendicular to each other.
(a) if the question can be answered by one of the given statements alone and not by the other;
(b) if the question can be answered by either statement alone;
(c) if the question can be answered by both the statements together but not by any one of the two;
(d) if the question cannot be answered by using both the statements together.

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Solution

Clearly, I alone is not sufficient to answer the given question.
Also, II alone is not sufficient to answer the given question.
However, both I and II together will give the answer.
∴ Hence, the correct answer is (c).

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