# Draw a circle and two lines parallel to a given line such that one is a tangent and the other, a secant to the circle

**Solution:**

Two or more lines that lie in the same plane and never intersect or meet each other such that the distance between them remains the same at every point are known as parallel lines.

Tangent line or tangent in geometry means a line or plane that intersects a curve or a curved surface at exactly one point.

Secant in geometry means a line that intersects two points on an arc/circumference of a circle.

Step (i) Draw a circle.

Step (ii) Draw one tangent and one secant to the circle parallel to the given line.

As shown in the diagram above, XY is the given line.

AB is the secant parallel to XY, AB || XY.

PQ is the tangent parallel to XY, PQ || XY.

**☛ Check: **NCERT Solutions for Class 10 Maths Chapter 10

**Video Solution:**

## Draw a circle and two lines parallel to a given line such that one is a tangent and the other, a secant to the circle

NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1 Question 4

**Summary:**

Thus, we have drawn a circle and two lines parallel to a given line such that one is a tangent and the other, a secant to the circle. XY is the given line, AB is the secant parallel to XY, AB ∥ XY, AQ is the tangent parallel to XY and PQ ∥ XY.

**☛ Related Questions:**

- How many tangents can a circle have?
- A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm. Length PQ is: (A) 12 cm (B) 13 cm (C) 8.5 cm (D) √119 cm
- Fill in the blanks:(i) A tangent to a circle intersects it in _____ point (s).(ii) A line intersecting a circle in two points is called a _____.(iii) A circle can have _____ parallel tangents at the most.(iv) The common point of a tangent to a circle and the circle is called _____.

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