# Tangent as a Special Case of Secant

## Trending Questions

**Q.**

The length of the tangent drawn to a circle with radius 7 cm from a point 25 cm away from the centre is

**Q.**

Consider the following statements and choose the correct option.

1) A tangent is a line that touches the circle at one point.

2) A tangent is an extreme case of the secant where the points of intersection coincide.

1 is true and 2 is false.

1 is false and 2 is true.

Both 1 and 2 are true.

Both 1 and 2 are false.

**Q.**Find angle PTQ in the figure.

- 70 degrees
- 65 degrees
- 35 degrees
- 110 degrees

**Q.**

Under which condition can a secant to a circle be called a tangent?

The points of intersection are infinite distance apart.

The secant passes through the centre of the circle.

The points of intersection are coincident.

The secant is a curved line.

**Q.**

Consider the following statements and choose the correct option.

1) A tangent is a line that touches the circle at one point.

2) A tangent is an extreme case of the secant where the points of intersection coincide.

1 is true and 2 is false.

1 is false and 2 is true.

Both 1 and 2 are true.

Both 1 and 2 are false.

**Q.**From a point P, two tangents PA and PB are drawn to a circle with centre O. If OP = diameter of the circle, show that Δ APB is equilateral.

**Q.**

Let a line meet a circle at A and B. This line is rotated about point A in clockwise direction such that B always remains on the circumference of the circle until point B coincides with A. What is the resulting line called?

Chord

Secant

Tangent

No term

**Q.**

Tangents PA and PB are drawn from an external point P to two concentric circles with centre O and radii 8 cm and 6 cm respectively, as shown in the figure. If AP = 6 cm then find the length of BP.

8 cm

16 cm

10 cm

6 cm

**Q.**

A tangent to a circle is a line that intersects the circle at only ________.

- one point
- two points

**Q.**

Let a line meet a circle at A and B. This line is rotated about point A in clockwise direction such that B always remains on the circumference of the circle until point B coincides with A. What is the resulting line called?

Secant

Chord

Tangent

No term

**Q.**

Tangents PA and PB are drawn from an external point P to two concentric circles with centre O and radii 8 cm and 6 cm respectively, as shown in the figure. If AP = 6 cm then find the length of BP.

8 cm

16 cm

10 cm

6 cm

**Q.**

ABC is a right angled triangle with AB = 12 cm and AC = 13 cm. A circle, with centre O, has been inscribed inside the triangle.

Calculate the value of x, the radius of the inscribed circle.

8 cm

3 cm

2 cm

9 cm

**Q.**

In the given figure, O is the centre of the circle. Find the value of X.

30∘

50∘

40∘

100∘

**Q.**

Under which condition can a secant to a circle be called a tangent?

The points of intersection are infinite distance apart.

The secant passes through the centre of the circle.

The points of intersection are coincident.

The secant is a curved line.

**Q.**

- Arc
- Tangent
- secant
- sector

**Q.**

In the given figure, O is the centre of the circle. Find the value of X.

30∘

40∘

50∘

100∘

**Q.**Chord of a circle is always bisected by the radius of that circle.

- False
- True

**Q.**

From the figure, name

(a) Tangents drawn from A to circle C_{1}.

(b) Tangents drawn from A to circle C_{2}.

(c) Tangents drawn from B to circles C_{1} and C_{2}.

(d) Sets of equal tangents.

**Q.**

If ∠BCD=50∘, then ∠BAD = ___.

- 50∘
- 100∘
- 70∘
- 25∘

**Q.**______ is a line that touches a circle at only one point, and ______ is a line that intersects a circle at two distinct points.

- Tangent, secant
- Secant, secant
- Tangent, tangent
- Secant, tangent

**Q.**

Under which condition can a secant to a circle be called a tangent?

The secant passes through the centre of the circle.

The points of intersection are infinite distance apart.

The points of intersection are coincident.

The secant is a curved line.

**Q.**

From the figure, name

(a) Tangents drawn from A to circle C_{1}.

(b) Tangents drawn from A to circle C_{2}.

(c) Tangents drawn from B to circles C_{1} and C_{2}.

(d) Sets of equal tangents.