The length of tangent from a point at distance 34 from the centre of the circle is 16. Find the radius
of the circle
8 cm. Find the length of the chord of the larger circle
Answers
Answer:
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CBSE Class 10
Rd Sharma Solutions
Mathematics
Circles
RD SHARMA Solutions for Class 10 Maths Chapter 8 - Circles
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Chapter 8 - Circles
Page / Exercise
Ex. 8.2 Ex. 8.1 8.48 8.49 8.50 8.51 8.52 8.53 8.54 8.55 8.56 8.57 8.58
Chapter 8 - Circles Exercise Ex. 8.2
Question 1
A is a point at a distance 13 cm from the centre O of a circle of radius 5 cm. AP and AQ are the tangents to the circle at P and Q. If a tangent BC is drawn at a point R lying on the minor arc PQ to intersect AP at B and AQ at C, find the perimeter of the ∆ABC.
Solution 1
AP = AQ , BP = PR and CR = CQ (tangents from an external point)
Perimeter of ∆ABC = AB + BR + RC + CA
= AB + BP + CQ + CA
= AP + AQ
= 2AP
∆APO is a right-angled triangle. AO2 = AP2 + PO2
132 = AP2 + 52
AP2 = 144
AP = 12
∴ Perimeter of ∆ABC = 24 cm
Step-by-step explanation:
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