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