Skip to content
Philoid
Browse Saved
Back to chapter
Mathematics
11. Circles
Home · Class 9 · Mathematics · Ref. Book · 11. Circles
Prev
Next
Q8 of 141 Page 464

Prove that an angle in a semicircle is a right angle.


We know that,


∠POQ = 2∠PAQ


= ∠PAQ


= ∠PAQ


90° = ∠PAQ


∠PAQ = 90°


Hence proved


More from this chapter

All 141 →
6

Find the length of a chord which is at a distance of 9 cm from the centre of a circle of radius 15 cm.

7

Prove that equal chords of a circle are equidistant from the centre.

9

Prove that a diameter is the largest chord in a circle.

10

A circle with centre O is given in which ∠OBA = 30° and ∠OCA = 40°. Find ∠BOC.

Questions · 141
11. Circles
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
Back to chapter
ADVERTISEMENT
About Contact Privacy Terms
Philoid · 2026
  • Home
  • Search
  • Browse
  • Quiz
  • Saved