2009
Mathematics
67ca00ce0c643c71d77dee1f
What is the locus of the mid-point of all the chords of length 6cm with circle of radius 5cm and with center O?
A.
A circle of radius 4 cm and the center 0
B.
The perpendicular bisector of the chords
C.
A straight line passing through 0
D.
A circle of radius 6 cm and with center 0
Correct Answer: A circle of radius 4 cm and the center 0
Explanation
x2 + 33 = 52 x2 + 9 = 25 x2 = 25 – 9 x2 = 16 x = √ 16 = 4 cm ∴ The locus is a circle of radius 4 cm with the center O
x2 + 33 = 52 x2 + 9 = 25 x2 = 25 – 9 x2 = 16 x = √ 16 = 4 cm ∴ The locus is a circle of radius 4 cm with the center OTHIS WEEK's
Latest Articles
Top-Scorer Okoro Uchechukwu Solomon Reveals How He Scored 337 in JAMB
by samuel olalekan adeyemi
Bouncing Back: How Samuel Isaac Overcame Setbacks to Score 265 in JAMB and What He Learned
by samuel olalekan adeyemi
Managing Stress During Exams: Practical Tips for Students
by samuel olalekan adeyemi
