Draw a circle of radius 3cm take two points p and q of its extended diameter each at distance of 7cm from centre.Draw tangents if circle from point pand q
Answers
Answer:
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Answer:
Steps of Construction:
(a) Bisect PO. Let M be the mid-point of PO.
(b) Taking M as centre and MO as radius, draw a circle. Let it intersects the given circle at the points A and B.
(c) Join PA and PB. Then PA and PB are the required two tangents.
(d) Bisect QO. Let N be the mid-point of QO.
(e) Taking N as centre and NO as radius, draw a circle. Let it intersects the given circle at the points C and D.
(f) Join QC and QD.
Then QC and QD are the required two tangents.
Justification:
Join OA and OB.
Then PAO is an angle in the semicircle and therefore ∠PAO = 90° .
PA ⊥ OA
Since OA is a radius of the given circle, PA has to be a tangent to the circle. Similarly, PB is also a tangent to the circle.
Again join OC and OD.
Then ∠QCO is an angle in the semicircle and therefore ∠QCO = 90° .
Since OC is a radius of the given circle, QC has to be a tangent to the circle. Similarly, QD is also a tangent to the circle.
Step-by-step explanation:
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