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Question (1)

QN0036921

1. Which statement correctly describes a tangent to a circle?

(A) A line having no common point with the circle
(B) A line intersecting the circle at exactly two points
(C) A line intersecting the circle at exactly one point
(D) A line passing through the centre of the circle

Correct Answer: C

Explanation:

A tangent intersects a circle at exactly one point, called the point of contact.

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Question (2)

QN0036922

2. A line intersecting a circle at two distinct points is called a:

(A) Tangent
(B) Secant
(C) Normal
(D) Radius

Correct Answer: B

Explanation:

A secant is a line that intersects a circle at two distinct points.

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Question (3)

QN0036923

3. How many tangents can be drawn to a circle at a particular point on the circle?

(A) Zero
(B) One
(C) Two
(D) Infinitely many

Correct Answer: B

Explanation:

Exactly one tangent can be drawn to a circle at any particular point on it.

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Question (4)

QN0036924

4. The common point of a tangent and a circle is called the:

(A) Centre
(B) Vertex
(C) Point of contact
(D) Midpoint

Correct Answer: C

Explanation:

The common point of the tangent and circle is called the point of contact.

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Question (5)

QN0036925

5. The tangent at any point of a circle is ______ to the radius through the point of contact.

(A) Parallel
(B) Equal
(C) Perpendicular
(D) Inclined at 45°

Correct Answer: C

Explanation:

The tangent at a point of a circle is perpendicular to the radius through the point of contact.

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Question (6)

QN0036926

6. From a point inside a circle, the number of tangents that can be drawn to the circle is:

(A) 0
(B) 1
(C) 2
(D) 3

Correct Answer: A

Explanation:

No tangent can be drawn from a point inside a circle because every line through the point intersects the circle at two points.

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Question (7)

QN0036927

7. From a point on a circle, the number of tangents that can be drawn is:

(A) 0
(B) 1
(C) 2
(D) 3

Correct Answer: B

Explanation:

Exactly one tangent can be drawn at a point lying on the circle.

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Question (8)

QN0036928

8. From a point outside a circle, exactly how many tangents can be drawn?

(A) One
(B) Two
(C) Three
(D) Infinitely many

Correct Answer: B

Explanation:

Exactly two tangents can be drawn from an external point to a circle.

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Question (9)

QN0036929

9. If two tangents are drawn from an external point P to a circle at A and B, then:

(A) PA > PB
(B) PA < PB
(C) PA = PB
(D) PA + PB = 0

Correct Answer: C

Explanation:

Tangents drawn from the same external point to a circle are equal in length.

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Question (10)

QN0036930

10. A tangent to a circle can be regarded as a special case of a:

(A) Radius
(B) Diameter
(C) Secant
(D) Chord

Correct Answer: C

Explanation:

A tangent is a special case of a secant when the two endpoints of the corresponding chord coincide.

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Question (1)

1. Which statement correctly describes a tangent to a circle?

Explanation:

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Question (2)

2. A line intersecting a circle at two distinct points is called a:

Explanation:

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Question (3)

3. How many tangents can be drawn to a circle at a particular point on the circle?

Explanation:

Link:

Question (4)

4. The common point of a tangent and a circle is called the:

Explanation:

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Question (5)

5. The tangent at any point of a circle is ______ to the radius through the point of contact.

Explanation:

Link:

Question (6)

6. From a point inside a circle, the number of tangents that can be drawn to the circle is:

Explanation:

Link:

Question (7)

7. From a point on a circle, the number of tangents that can be drawn is:

Explanation:

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Question (8)

8. From a point outside a circle, exactly how many tangents can be drawn?

Explanation:

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Question (9)

9. If two tangents are drawn from an external point P to a circle at A and B, then:

Explanation:

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Question (10)

10. A tangent to a circle can be regarded as a special case of a:

Explanation:

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