Q36 of 109 Page 318

In each of the questions one question is followed by two statements I and II. Choose the correct option.

Is quadrilateral ABCD a rhombus?


I. Quad. ABCD is a ||gm.


II. Diagonals AC and BD are perpendicular to each other.

Here, we can observe that neither I not II can alone justify the answer to the given question. But if we consider both I and II together then they completely satisfies the answer.

∴ Option C is correct.

More from this chapter

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34

Three statements are given below:

I. In a rectangle ABCD, the diagonal AC bisects ∠A as well as ∠C.


II. In a square ABCD, the diagonal AC bisects ∠A as well as ∠C.


III. In a rhombus ABCD, the diagonal AC bisects ∠A as well as ∠C.


Which is true?

 35

In each of the questions one question is followed by two statements I and II. Choose the correct option.

Is quadrilateral ABCD a ||gm?


I. Diagonals AC and BD bisect each other.


II. Diagonals AC and BD are equal.

 37

In each of the questions one question is followed by two statements I and II. Choose the correct option.

Is ||gm ABCD a square?


I. Diagonals of ||gm ABCD are equal.


II. Diagonals of ||gm ABCD intersect at right angles.

 38

In each of the questions one question is followed by two statements I and II. Choose the correct option.

Is quad. ABCD a parallelogram?


I. Its opposite sides are equal.


II. Its opposite angles are equal.