Mathematics
Assertion (A): In the given figure, chord AB = 8 cm, diameter CD = 20 cm, then length of OP = 10 cm. Reason (R): OP = and CP = OC + OP 1. A is true, but R is false. 2. A is false, but R is true. 3. Both A and R are true, and R is the correct reason for A. 4. Both A and R are true, and R is the incorrect reason for A.
Related Questions
Statement 1: O and O' are centres of two equal circles and ABCD is a straight line.
Statement 2: If OP ⊥ AB, O'Q ⊥ CD and O'Q is greater than OP, then CD > AB.
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
Statement 1: In a circle with center O, chord AB : chord BC = 1 : 3. If angle AOC is 160° ⇒ angle BOC = 120°.
Statement 2: AB : BC = 1 : 3
⇒ ∠AOC = 3 x ∠AOB
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
The figure, given below, shows a circle with center O in which diameter AB bisects the chord CD at point E. If CE = ED = 8 cm and EB = 4 cm, find the radius of the circle.
In the given figure, O is the center of the circle. AB and CD are two chords of the circle. OM is perpendicular to AB and ON is perpendicular to CD. AB = 24 cm, OM = 5 cm, ON = 12 cm. Find the :
(i) the radius of the circle
(ii) length of chord CD.
