Circles - Number of Tangents
Maths · Grade 10 · Week 38 · 25 questions
Geometry explores the properties of shapes, angles, and spatial relationships. These visual and logical skills have applications in design, architecture, navigation, and everyday problem-solving.
What you'll practise
- Identify and classify geometric shapes
- Calculate angles using geometric properties
- Apply theorems about triangles and polygons
- Solve problems involving geometric relationships
All 25 questions in this Circles - Number of Tangents quiz
Grade 10 Maths — Circles - Number of Tangents: 25 practice questions with instant scoring and explanations.
- From point inside circle, tangents:
- From point on circle, tangents:
- From point outside circle, tangents:
- Common tangents to non-intersecting circles:
- Common tangents to externally touching circles:
- Two intersecting circles have common tangents:
- Internally touching circles have tangents:
- Concentric circles have common tangents:
- ∠APB=60° (tangents from P), ∠AOB=
- ∠AOB=100° (tangents from P), ∠APB=
- ∠APB=90° (tangents), ∠AOB=
- ∠APB + ∠AOB =
- PA,PB tangents, radius 15cm, PA=20cm. Find OP.
- PA,PB tangents, radius 12cm, PA=16cm. Find OP.
- PA,PB tangents, radius 8cm, PA=15cm. Find OP.
- PA,PB tangents, radius 12cm, PA=5cm. Find OP.
- PA,PB tangents, radius 6cm, PA=8cm. Find OP.
- PA,PB tangents, radius 9cm, PA=12cm. Find OP.
- PA,PB tangents, radius 15cm, PA=8cm. Find OP.
- ∠APB=40° (tangents from P), ∠AOB=
- ∠AOB=140° (tangents), ∠APB=
- ∠APB=50° (tangents), ∠AOB=
- PA tangent, PA=3cm, OA=5cm. Radius=
- PA tangent, PA=15cm, OP=17cm. Radius=
- OA=radius=r, ∠OAP (A is tangency point)=
Question 1 of 250 correct so far