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Two circles intersect at two points A and B. If AD and AC are diameters of the circles, then which of the following steps is INCORRECT in order to prove that B lies on the line segment DC?
(P) Join AB.
(Q) `angleABD=90^(@)` and `angleABC=90^(@)` (Angle in semicircle)
(R ) `angleABD+angleABC=360^(@)`
(S) DBC is a straight line segment. Hence B lies on the line segment DC.

A

P

B

Q

C

R

D

S

Text Solution

Verified by Experts

The correct Answer is:
C
(R ) is incorrect. The correct step should be `angleABD+angleABC=180^(@)`, for DBC to be a straight line segment.
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