i) What are the coordinates of point A?
(a) (2, 2) (b) (2, - 2)
(c) (-2,2) (d) (-2,-2)
(ii) What is the distance of point A from origin ?
(a)8 (c)4
(iii) What is the distance between A and B ? (a) 3 19
(c) 17
(b)2 2 (d)4 2
(b) 3 5 (d)2 5
(iv) What is the distance between B and C ?
(a) 3 19 (b) 3 5
(c) 2 17 (d) 2 5
(v) A point D lies on the line segment between points A and B such that AD : DB = 4 : 3 . What
are the the coordinates of point D ?
(a) b10,2l (b) b2,7l
77 77
(c) b-10,-2l (d) b-2,-7l 77 77
Answers
Answer:
i) c ii) c iii) a iv) d v) c
Step-by-step explanation:
make me as a brainlist
Given : A point D lies on the line segment between points A and B such that AD: DB = 4:3.
To Find : coordinates of point A
distance of point A from origin
distance between A and B
the distance between B and C
The coordinates of point D?
Solution:
From the figure given coordinates of A are (-2 , 2)
correct option (c) (-2,2)
From the figure given coordinates of B are (-1 , -2)
From the figure given coordinates of C are (3 , 0)
Origin = (0,0)
distance of point A from origin
A ( - 2 , 2) and ( 0 , 0)
Distance = √(-2 - 0)² + (2 - 0)² = √4 + 4 = √8 = 2√2
distance between A and B
A ( - 2 , 2) B ( - 1 , -2)
= √17
distance between B and C
(3 , 0) B ( - 1 , -2)
= √20 = 2√5
AD : DB = 4 : 3
A ( - 2 , 2) B ( - 1 , -2)
Coordinates of D = ( 4 * (-1) + 3 *(-2))/(4 + 3) , ( 4 * (-2) + 3 *(2))/(4 + 3)
= ( -4 -6 )/7 , (-8 + 6)/7
= -10/7 , -2/7
the coordinates of point D are (-10/7 , -2/7)
Learn More:
find the ratio in which the line segment joining the points p 3 - 1 and ...
brainly.in/question/13869150
In what ratio is the line segment joining (–3, 1) and (7, –2) divided by ...
brainly.in/question/12195315
The point which divides the line segment joining the points (8, – 9 ...
brainly.in/question/13094426