Mr. Anand is an Ex - Army person. He runs three Blood Bank Collection centres in different
locations in Bangalore to serve needy people. From his house the three blood locations are A(5,
3), B(6,1), C(7,8).
i) Which is the nearest blood bank centre from Anand Home (considering Anand home as origin)?
a) A b) B
c) C d) Both B and C
ii) Find the distance between the blood bank ‘A’ and ‘C’ ?
a) 21 b) 27 c) 29 d) 23
iii) Find the geometric center i.e. centroid from three blood centres ?
a) (4, 6) b) (6, 4) c) (5, 4) d) (4, 5)
iv) Name the triangle formed by joining the locations of the three blood bank centres ?
a) Right angled triangle b) Isosceles triangle
c) Equilateral triangle d) Scalene triangle
v) Anand travels from blood bank center C to A, he covered half the distance. Find coordinates of
his location ?
a) 1 5/2
b) 6 11/2
c) 1 11/2
d) 6 5/2
(Please draw the diagram. Chapter: Coordinate Geometry)
Answers
Given : Anand Home is at origin (0, 0)
A(5, 3), B(6,1), C(7,8).
To Find : Which is the nearest blood bank centre from Anand Home
Find the distance between the blood bank ‘A’ and ‘C’
Find the geometric center i.e. centroid from three blood centres
Solution:
A(5, 3)
Distance of A from origin = √(5 - 0)² + (3 - 0)² = √34
B(6,1),
Distance of B from origin = √(6 - 0)² + (1 - 0)² = √37
C(7,8).
Distance of C from origin = √(7 - 0)² + (8 - 0)² = √113
√34 < √37 < √113
nearest blood bank centre from Anand Home is A
distance between the blood bank ‘A’ and ‘C’
√(7 - 5)² + (8 - 3)² = √4+25 = √29
geometric center i.e. centroid from three blood centres
A(5, 3), B(6,1), C(7,8).
(5 + 6 + 7)/3 , ( 3 + 1 + 8)/3
=(6 , 4)
Scalene triangle triangle formed by A , B , C
Anand travels from blood bank center C to A, he covered half the distance
coordinates of his location 6 , 11/2
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