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Quantitative Aptitude

Length Based Approach

In the figure...

Question

In the figure given below O is the center of the circle. ABCD can never be a -

A

Square

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B

Rhombus

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C

Trapezium

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D

Quadrilateral

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Solution

The correct option is A
Square

ABCD can never be a square, since centre of circle doesn't lie on AC so it cannot be a diameter $∠$ ABC cannot be equal to 90 $^{0}$ .

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Similar questions

Q. Determine if the given statements are sometimes , always or never true.
(i) A parallelogram is a quadrilateral.
(ii) A parallelogram is a trapezium.
(iii) A rhombus is a square.
(iv) A trapezium is a quadrilateral.
(v) A rectangle is a square.

Q. The angle-bisectors of a parallelogram form a quadrilateral as shown in the figure given below,

Then ABCD is a .

The figure formed by joining the midpoints of the sides of a quadrilateral ABCD, taken in order, is a square, only if

(a) ABCD is a rhombus

(b) diagonals of ABCD are equal

(c) diagonals of ABCD are perpendicular

(d) diagonals of ABCD are equal and perpendicular

Q. In the figure given below a quadrilateral ABCD is draw to circumscribe a circle prove that :

A B + C D = A D + B C

Q. Question 11
The figure formed by joining the mid-points of the sides of a quadrilateral ABCD, taken in order, is a square only, if
(A) ABCD is a rhombus
(B) diagonals of ABCD are equal
(C) diagonals of ABCD are equal and perpendicular
(D) diagonals of ABCD are perpendicular

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