Circles : Exercise 10.1 (Mathematics NCERT Class 10th)

Class 10 : Maths + Science Video Lecture + Paper Solution+ TestMr. Kapil Sharma, GRS Academy, Mr. Neetin Agrawal
Sol.Â Â Â Â Â A circle can have an infinite number of tangents.
Â Q.2 Â Â Â Fill in the blanks :
Â Â Â Â Â Â Â (i) A tangent to a circle intersects it in _________ point(s).
Â Â Â Â Â Â Â (ii) A line intersecting a circle in two points is called a _______.
Â Â Â Â Â Â Â (iii) A circle can have _______ parallel tangents at the most.
Â Â Â Â Â Â Â (iv) The common point of a tangent to a circle and the circle is called ______.
Sol.Â Â Â Â Â (i) exactly one
Â Â Â Â Â Â Â Â (ii) secant
Â Â Â Â Â Â Â Â (iii) two
Â Â Â Â Â Â Â Â (iv) point of contact
Q.3 Â Â Â 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 of PQ is :
Â Â Â Â Â Â Â (A) 12 cm Â Â Â Â Â Â Â Â Â (B) 13 cm Â Â Â Â Â Â Â Â Â (C) 8.5 cm Â Â Â Â Â Â Â Â Â Â (D)
Sol.Â Â Â Â Â (D). Because,
Â Â Â Â Â Â Â Â
Â Â Â Â Â Â Â Â
Q.4 Â Â Â Draw a circle and two lines parallel to a given line such that one is tangent and the other, a secant to the circle.
Sol.Â Â Â Â Â The required figure is as under :
Â Â Â Â Â Â Â Â Here is the given line and a circle with centre O is drawn.
Â Â Â Â Â Â Â Â Line PT is drawn  to line .
Â Â Â Â Â Â Â Â PT is the tangent to the circle.
Â Â Â Â Â Â Â Â AB is drawn  to line and is the secant.
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