CBSE Class 10-Mathematics: Questions and Answers Chapter – 10 Circles Part 4 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 20:

The length of tangent from a point A at a distance of from the centre of the circle is . What will be the radius of circle?

(a)

(b)

(c)

(d) None of these

Answer:

(c)

Question 21:

In the figure given below, PA and PB are tangents to the circle drawn from an external point . is a third tangent touching the circle at . If and , what is the length of ?

(a)

(b)

(c)

(d)

The Circle Drawn from an External Point

Answer:

(a)

Question 22:

The tangent of a circle makes angle with radius at point of contact

(a)

(b)

(c)

(d) None of these

Answer:

(c)

Question 23:

If tangent PA and PB from a point P to a circle with center O are inclined to each other at an angle of , then what is the value of ?

(a)

(b)

(c)

(d)

Point P to a Circle with Centre O

Answer:

(b)

2 Mark Questions

Question 1:

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 ________.

Answer:

(i) A tangent to a circle intersects it in one point.

(ii) A line intersecting a circle in two points is called a secant.

(iii) A circle can have two parallel tangents at the most.

(iv) The common point of a tangent to a circle and the circle is called point of contact.