Neco Model Questions Vol1 2019 Mathematics Question 31

Practice objective / multiple choice question 31 from the 2019 Neco Model Questions Vol1 Mathematics examination.

Neco Model Questions Vol1 2019 Mathematics Objective / Multiple Choice Hard Difficulty
Question 31 NECO_MODEL_QUESTIONS_VOL1 • 2019 • MATHEMATICS • objective

Points A(1,2) and B(7,8) are given in the coordinate plane. Point P lies on segment AB such that AP:PB = 2:3. Point C is (4,-1). The perpendicular from C to line AB meets AB at D. Through D a line is drawn parallel to the line \(y = -3x + 5\); this line meets the circle centered at D with radius equal to DP at point F (other than D). Find the area of triangle CDF.

Answer Options

A. 12\sqrt{5}/25
Correct Answer B. 36\sqrt{5}/25
C. 36\sqrt{5}/20
D. 36\sqrt{6}/25
Correct Answer
B
Correct Option:
36\sqrt{5}/25

About This Question

This is Neco Model Questions Vol1 2019 Mathematics Question 31. It is one of the objective questions from the 2019 Neco Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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