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secondary 3 | E Maths
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ZY1673
ZY1673

secondary 3 chevron_right E Maths chevron_right Singapore

Hi, can someone give me solutions for 4a and 4c? Thanks

Date Posted: 5 years ago
Views: 307

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Mak, Ivan
Mak, Ivan's answer
28 answers (Tutor Details)
1st
Given the fact that PA and PB are tangents to the circle, and that they intersect at point P, where OP is a straight line, we can see that triangles OBP and OAP are symmetric about the line OP. Hence length of BP = Length of AP, Angle BOP = Angle POA
Mak, Ivan
Mak, Ivan
5 years ago
full justification:
angle OAP = angle OBP (tan perp radius)
OP = OP (common line)
OA = OB (radii)

Therefore triangle OBP is congruent to triangle OAP
Thus BP = AP = 14, angle AOP = angle BOP = 49 degree