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Subject - Mathematics:

General

MCQ - 388-9120

Question:

In a circle of radius 7 cm, tangent PT is drawn from a point P such that PT = 24 cm. If O is the centre of the circle then OP =?

7 -16027122

  1. 30 cm
  2. 28 cm
  3. 25 cm
  4. 28 cm

Correct Answer: C

Explanation:

Given, A circle with center O and radius, OT = 7 cm and PT = 24 cm
Now, we know that
Tangent at a point on the circle is perpendicular to the radius through the point of contact.
i.e.
OT ⏊ OP
By Pythagoras Theorem in ΔOTP [ i.e. Hypotenuse2 = Base2 + Height2]
(OP)2 = (OT)2 + (PT)2
⇒ (OP)2 = (7)2 + (24)2
⇒ (OP)2 = 49 + 576 = 625
⇒ OP = 25 cm

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504 MCQ for effective preparation of the test of General of Mathematics section.

Read the MCQ statement: In a circle of radius 7 cm, tangent PT is drawn from a point P such that PT = 24 cm. If O is the centre of the circle then OP =? , keenly and apply the method you have learn through the video lessons for General to give the answer. Record your answer and check its correct answer and video explanation for MCQ No. 388-9120.

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