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Question (1)

QN009558

Four points lying on the same circle are called:

(A) Collinear points
(B) Concurrent points
(C) Concyclic points
(D) Coplanar points

Correct Answer: C

Explanation:

Points lying on the same circle are called concyclic points.

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Question (2)

QN009559

A quadrilateral is cyclic if and only if its opposite angles are:

(A) Equal
(B) Complementary
(C) Supplementary
(D) Right angles

Correct Answer: C

Explanation:

Opposite angles of a cyclic quadrilateral are supplementary.

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Question (3)

QN009560

In a cyclic quadrilateral, one angle is 110°. Its opposite angle is:

(A) 60°
(B) 70°
(C) 80°
(D) 90°

Correct Answer: B

Explanation:

Opposite angles sum to 180°. Therefore, opposite angle = 180°−110°=70°.

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Question (4)

QN009561

If four points lie on a circle, then the quadrilateral formed is called a:

(A) Rhombus
(B) Trapezium
(C) Cyclic quadrilateral
(D) Kite

Correct Answer: C

Explanation:

A quadrilateral formed by four concyclic points is called a cyclic quadrilateral.

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Question (5)

QN009562

In a cyclic quadrilateral ABCD, ∠A = 95°. Find ∠C.

(A) 75°
(B) 80°
(C) 85°
(D) 95°

Correct Answer: C

Explanation:

∠C = 180°−95°=85°.

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Question (6)

QN009563

Which condition is necessary for four points to be concyclic?

(A) All sides equal
(B) Opposite angles supplementary
(C) Diagonals equal
(D) Adjacent angles equal

Correct Answer: B

Explanation:

If opposite angles are supplementary, the quadrilateral is cyclic.

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Question (7)

QN009564

If a quadrilateral is cyclic, then an exterior angle equals the:

(A) Adjacent interior angle
(B) Opposite interior angle
(C) Half of opposite angle
(D) Sum of opposite angles

Correct Answer: B

Explanation:

Exterior angle of a cyclic quadrilateral equals the opposite interior angle.

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Question (8)

QN009565

In a cyclic quadrilateral, if ∠B = 72°, then ∠D equals:

(A) 72°
(B) 98°
(C) 108°
(D) 118°

Correct Answer: C

Explanation:

∠D = 180°−72°=108°.

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Question (9)

QN009566

Four vertices of a rectangle are always:

(A) Collinear
(B) Concyclic
(C) Non-coplanar
(D) Concurrent

Correct Answer: B

Explanation:

Every rectangle is a cyclic quadrilateral.

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Question (10)

QN009567

A quadrilateral has opposite angles 88° and 92°. The quadrilateral is:

(A) Not cyclic
(B) Cyclic
(C) A parallelogram only
(D) Impossible

Correct Answer: B

Explanation:

Since 88°+92°=180°, the quadrilateral is cyclic.

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Question (1)

Four points lying on the same circle are called:

Explanation:

Link:

Question (2)

A quadrilateral is cyclic if and only if its opposite angles are:

Explanation:

Link:

Question (3)

In a cyclic quadrilateral, one angle is 110°. Its opposite angle is:

Explanation:

Link:

Question (4)

If four points lie on a circle, then the quadrilateral formed is called a:

Explanation:

Link:

Question (5)

In a cyclic quadrilateral ABCD, ∠A = 95°. Find ∠C.

Explanation:

Link:

Question (6)

Which condition is necessary for four points to be concyclic?

Explanation:

Link:

Question (7)

If a quadrilateral is cyclic, then an exterior angle equals the:

Explanation:

Link:

Question (8)

In a cyclic quadrilateral, if ∠B = 72°, then ∠D equals:

Explanation:

Link:

Question (9)

Four vertices of a rectangle are always:

Explanation:

Link:

Question (10)

A quadrilateral has opposite angles 88° and 92°. The quadrilateral is:

Explanation:

Link:

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