Question

Three friends Nitin, Alok and Deepika live in societies represented by the points A, B and C respectively. They all work in the same office located at O. So, they decided to share a cab to

(b) B

(b) √34 units

(d) None of these

10¹ Mathematics (Standard)

A

(d) Both A and C

47. What is the distance between A and C?

go to the office.

40. Which society is nearest to the office?

(a) A

(c) C

(a) √33 units

(c) √48 units​

Answer 1

Answer:

Answer for 46 is option c)

Answer for 47 is option b)

Explanation:

Solution for 46

coordinates for A(2,8)

for B(7,7)

for C(5,3)

Distance of a point from origin=√(x^2+y^2)

Using the formula,

distance of point A from origin O is √68 units

distance of point B from origin O is √98 units

distance of point C from origin O is √34 units

As point C is closest to the origin, correct option is c)

Solution for 47

Distance between two points= √(x2-x1)^2+(y2-y1)^2

Using the formula, distance between points A and C

=√(5-2)^2+(5-3)^2

=√(3)^2+(-5)^2

=√9+25

=√34

So the correct option is b)