Question

Q-3) Which of the following is true for the given figure where o is the centre of the circle?(दिए गए चित्र के लिए निम्नलिखित में से कौन सा सत्य है जहाँ o वृत्त का केंद्र है?) *
1 point

<QPR= <QOR
<QPR= 2<QOR
<QPR= 1/2 <QOR
<QPR > <QOR​

Answer 1

Required Answer:-

According to a circle-angle theoram,

Angle subtended in the centre is double of the angle subtended at any point on the circle$.$

Here,

• Angle at the centre = <QOR
• Angle on the circle = <QPR

With accordance to above theoram,

⇒ <QOR = 2 <QPR

⇒ <QPR = 1/2 <QOR (C)

Extra tips:

• Revise all the theorams and trying proving in your own way without referring to solution.

• Practice as many questions as possible because practice makes a man perfect :)

Answer 2

Given :-

A circle with centre O

To Find :-

Which statement is true

Solution :-

In the big circle, there is a center with O. While, the center angle is QOR and the inscribed angle is QPR

2 ∠QPR = ∠QOR

Transposing 2 to RHS

∠QPR = ∠QOR ÷ 2

∠QPR = 1/2 × ∠QOR

Hence

Option C is correct

Know More :-

Radius - It is the line through which the center and to the circumference

Diameter - It is the line through the center extended to all side of circle

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