Mathematics
Assertion (A): Arc APB : arc APBQC = 5 : 7 and reflex ∠AOC = 210° then ∠AOB = 150° Reason (R): ∠AOB = 5/7 x reflex ∠AOC = 5/7 x 210° = 150° 1. A is true, R is false. 2. A is false, R is true. 3. Both A and R are true. 4. Both A and R are false.
Related Questions
Assertion (A): AM and BN are tangents to the same circle at points A and B respectively. Then AN = BM.
Reason (R): Since, tangents to a circle are equal in length
⇒ AM = BN
△APN ≅ △BPM ⇒ AN = BM
- A is true, R is false.
- A is false, R is true.
- Both A and R are true.
- Both A and R are false.
Assertion (A): The line segment joining the mid-points of all parallel chords of a circle passes through the centre.
Reason (R): If the chords are on same side of centre then only the line through the mid-points of the chords passes through the centre.
- A is true, R is false.
- A is false, R is true.
- Both A and R are true.
- Both A and R are false.
Assertion (A): In the given figure the lengths of arc AB and arc BC are in the ratio 2:1. If ∠AOB = 96°, then ∠AOC = 144°.
Reason (R): In two equal (congruent) circles if two arcs are equal, then they subtend equal angles at their centres.
- A is true, R is false.
- A is false, R is true.
- Both A and R are true.
- Both A and R are false.