In the given fig. O is the centre of the circle and OP||QR, QR is tangent of the circle and OP = 6 cm, find the area of ∆OPR.

Assignment 7 Shivam Set - 3 20Q hindi reviewed.docx 7

  1. 14
  2. 18
  3. 26
  4. 9

Answer (Detailed Solution Below)

Option 2 : 18
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Detailed Solution

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OP||QR (given)

⇒ Extend the point P to the point S such that QR = OS

Thus, rectangle QRSO is formed

⇒ OQ = SR = 6 cm (Height of the ∆OPR)

⇒ OP = 6 cm = Base of the ∆OPR

⇒ Area of ∆OPR = 1/2 × 6 × 6 = 18 cm

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