Neco 2019 Mathematics Question 14

Practice objective / multiple choice question 14 from the 2019 Neco Mathematics examination.

Neco 2019 Mathematics Objective / Multiple Choice Hard Difficulty
Question 14 NECO • 2019 • MATHEMATICS • objective

Points \\(A(2,-1)\\) and \\(B(5,3)\\) are given. Let \\(P\\) be the point on line \\AB\\ that is equidistant from the origin \\O(0,0)\\ and the point \\C(1,4)\\. (i) Find the coordinates of \\P\\. (ii) Determine the distance \\OP\\ (expressed in simplest radical form).

Answer Options

A. P\\left(\\frac{139}{38},\\frac{23}{19}\\right), OP = \\frac{\\sqrt{21436}}{38}
Correct Answer B. P\left(\frac{139}{38},\frac{23}{19}\right), OP = \frac{\sqrt{21437}}{38}
C. P\\left(\\frac{139}{38},\\frac{24}{19}\\right), OP = \\frac{\\sqrt{21437}}{38}
D. P\\left(\\frac{138}{38},\\frac{23}{19}\\right), OP = \\frac{\\sqrt{21437}}{38}
Correct Answer
B
Correct Option:
P\left(\frac{139}{38},\frac{23}{19}\right), OP = \frac{\sqrt{21437}}{38}

About This Question

This is Neco 2019 Mathematics Question 14. It is one of the objective questions from the 2019 Neco Mathematics examination.

Difficulty level: Hard .

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