Skip to content
Philoid
Browse Saved
Back to chapter
Maths
10. Circles
Home · Class 10 · Maths · Ref. Book · 10. Circles
Prev
Next
Q26 of 93 Page 10

In Fig. 10.64, BC is a tangent to the circle O. OE bisects AP. Prove that .


Triangle AOP is an isosceles triangle because OA=OP as they are the radius of the circle. We know that radius of the circle is always perpendicular to the tangent at the point of contact.


Here OB is the radius and BC is the tangent and B is the point of contact, Therefore



More from this chapter

All 93 →
24

In Fig. 10.62, . The tangents to the circle at P and Q intersect at a point T. Prove that PQ and OT are right bisectors of each other.

25

In Fig. 10.63, two tangents AB and AC are drawn to a circle with centre O such that . Prove that OA = 2AB.

27

The lengths of three consecutive sides of a quadrilateral circumscribing a circle are 4 cm, 5 cm and 7 cm respectively. Determine the length of the fourth side.

28

In Fig. 10.65, common tangents PQ and RS to two circles intersect at A. Prove that PQ = RS.

Questions · 93
10. Circles
1 2 3 4 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 1 2 3 4 5 6 7 8 9 10 11 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
Back to chapter
ADVERTISEMENT
About Contact Privacy Terms
Philoid · 2026
  • Home
  • Search
  • Browse
  • Quiz
  • Saved