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)
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)
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.