Maths · Circle, conic sections: A standard form of equations of a circle, the general form of the equation of a circle, its radius and centre
f 0 is a point on the circle and is a point in the exterior of the circle. Lengt
f 0 is a point on the circle and \( P \) is a point in the exterior of the circle. Length of \( \boldsymbol{O} \boldsymbol{P}=7.5 \mathrm{cm} \) and radius of the circle is \( 5.5 \mathrm{cm} . \) What will be the length of \( Q P \) if \( Q \) is the centre?
- A. \( 5.5 \mathrm{cm} \)
- B. \( 13 \mathrm{cm} \)
- C. 7 .5 \mathrm{cm} \)
- D. \( 13.5 \mathrm{cm} \)
Step-by-step solution
Since Q is the centre and O is on the circle, QO = radius = 5.5 cm. Given OP = 7.5 cm. The points Q, O, P are collinear with O between Q and P (as P is exterior), so QP = QO + OP = 5.5 + 7.5 = 13 cm.
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