Neco Model Questions Vol1 2018 Mathematics Question 49

Practice objective / multiple choice question 49 from the 2018 Neco Model Questions Vol1 Mathematics examination.

Neco Model Questions Vol1 2018 Mathematics Objective / Multiple Choice Hard Difficulty
Question 49 NECO_MODEL_QUESTIONS_VOL1 • 2018 • MATHEMATICS • objective

A circle has centre \(O\) and radius \(13\) cm. A chord \(AB\) is at a perpendicular distance of \(10\) cm from \(O\). The line through \(O\) perpendicular to \(AB\) meets the circle at points \(C\) and \(D\). A point \(P\) lies on the extension of \(OC\) beyond \(O\) such that \(OP = 20\) cm. (i) Find the length of the tangent from \(P\) to the circle (give your answer to two decimal places). (ii) Let \(Q\) be the intersection of line \(OP\) with chord \(AB\). Find the length \(PQ\) (in centimetres).

Answer Options

A. (i) 14.10 cm (ii) 26 cm
B. (i) 16.45 cm (ii) 32 cm
C. (i) 13.00 cm (ii) 28 cm
Correct Answer D. (i) 15.20 cm (ii) 30 cm
Correct Answer
D
Correct Option:
(i) 15.20 cm (ii) 30 cm

About This Question

This is Neco Model Questions Vol1 2018 Mathematics Question 49. It is one of the objective questions from the 2018 Neco Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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