A tangent at a point of a circle of radius 5 cm meets a line through the center at a point so that . Length of is:

Answer and explanation

Correct answer: D.

  1. Step 1: Radius at point of contact , so is a right triangle with hypotenuse .
  2. Step 2: By Pythagoras theorem, .
  3. Step 3: .
  4. Step 4: .
Answer
.
Why not the others: adds squares ; is the hypotenuse; and is an arithmetic guess.

Practise more Geometry and Trigonometry.

Free questions with an explanation for every one, and full timed CBSE Class 10 mock tests.