Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In a circle, AB and CD are two diameters that are perpendicular to each other.  Find the length of the chord AC?

Options:

\(\frac{CD}{\sqrt {2}}\)

2\(\sqrt{2}\) CD

2CD

\(\sqrt {2}\) CD

Correct Answer:

\(\frac{CD}{\sqrt {2}}\)

Explanation:

Let, CO = OA = 2r

AC = r\(\sqrt {2}\)

AC = \(\frac{CD}{2}\) × \(\sqrt {2}\)         (CD = 2r)

AC = \(\frac{CD}{\sqrt {2}}\)