CBSE Class 10-Mathematics: Questions and Answers Chapter –10 Circles Part 5
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Question 2:
A tangent at a point P of a circle of radius meets a line through the centre O at a point so that . Length is:
(A) 12 cm
(B) 13 cm
(C) 8.5 cm
(d)
PQ is the Tangent and OP is the Radius
Answer:
(D) is the tangent and is the radius through the point of contact.
[The tangent at any point of a circle is to the radius through the point of contact]
In right triangle ,
Question 3:
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.
Answer:
Illustration 1 for CBSEClass10MathematicsQuestions …
Question 4:
From a point Q, the length of the tangent to a circle is and the distance of Q from the centre is . The radius of the circle is:
(A)
(B)
(C)
(D)
Answer:
(A)
[The tangent at any point of a circle is to the radius through the point of contact]
Question 5:
In figure, if TP and are the two tangents to a circle with centre so that , then PTQ is equal to:
Two Tangents to a Circle with Centre
(A)
(B)
(C)
(D)
Answer:
(B)
[The tangent at any point of a circle is to the radius through the point of contact]
In quadrilateral OPTQ,
[Angle sum property of quadrilateral]