2015 · Q84
Chord CD intersects the diameter AB of a circle at right angle at a point P in the ratio 1 : 2. If diameter of circle is d, then CD is equal to
Elementary MathematicsTrigonometry
- A(√2d)/3
- B2d/3
- C(2√2d)/3
- D(2√3d)/3
Explanation
P divides the diameter 1:2, so OP = d/6; CP = sqrt(d^2/4 - d^2/36) = sqrt(2)*d/3, and CD = 2*sqrt(2)*d/3. Hence option (c).