Question Paper
Class / Subject: Class 10 (ICSE) · Mathematics
Chapter: Chapter 18 — Chapter 18: Tangents and Intersecting Chords
Time Allowed: 32 minutes
Max Marks: 16
1. What is a tangent's relationship to the radius? [1]
(A) Perpendicular at the point of contact
(B) Parallel always
(C) Equal in length
(D) No relationship
2. What is the intersecting chords relationship? [1]
(A) AP×PB = CP×PD
(B) AP+PB = CP+PD
(C) AP-PB = CP-PD
(D) AP÷PB = CP÷PD
3. What does the tangent-secant theorem state? [1]
(A) Tangent² = external × total secant length
(B) Tangent = secant length
(C) Tangent + secant = constant
(D) No specific relationship
4. Where do chords AB and CD intersect for the chord theorem to apply? [1]
(A) Inside the circle
(B) Outside the circle
(C) On the circle only
(D) Anywhere, location doesn't matter
5. What touches a circle at exactly one point? [1]
(A) A tangent
(B) A chord
(C) A secant
(D) A radius
6. Why learn tangent and chord theorems? [1]
(A) To solve various circle geometry problems
(B) No reason
(C) It's not useful
(D) Only for tests
7. What is a secant? [1]
(A) A line that intersects a circle at two points
(B) A line touching at one point
(C) A type of chord only
(D) A type of radius
8. Why are these theorems useful? [1]
(A) They connect circle properties for problem-solving
(B) They have no use
(C) Only for decoration
(D) They confuse geometry
9. What is a tangent's relationship to the radius? [1]
(A) Perpendicular at the point of contact
(B) Parallel always
(C) Equal in length
(D) No relationship
10. What is the intersecting chords relationship? [1]
(A) AP×PB = CP×PD
(B) AP+PB = CP+PD
(C) AP-PB = CP-PD
(D) AP÷PB = CP÷PD
11. What does the tangent-secant theorem state? [1]
(A) Tangent² = external × total secant length
(B) Tangent = secant length
(C) Tangent + secant = constant
(D) No specific relationship
12. Where do chords AB and CD intersect for the chord theorem to apply? [1]
(A) Inside the circle
(B) Outside the circle
(C) On the circle only
(D) Anywhere, location doesn't matter
13. What touches a circle at exactly one point? [1]
(A) A tangent
(B) A chord
(C) A secant
(D) A radius
14. Why learn tangent and chord theorems? [1]
(A) To solve various circle geometry problems
(B) No reason
(C) It's not useful
(D) Only for tests
15. What is a secant? [1]
(A) A line that intersects a circle at two points
(B) A line touching at one point
(C) A type of chord only
(D) A type of radius
16. Why are these theorems useful? [1]
(A) They connect circle properties for problem-solving
(B) They have no use
(C) Only for decoration
(D) They confuse geometry