17. Find the value of y fór which the distance between the points A(3, -1)
and B(11, y) is 10 units.
Answers
Answered by
1
answer hope u will understand
Attachments:
Answered by
1
Answer:
It is given that the distance between the points AB = 10.
Therefore, AB= √(11-3)2 + (y+1)2 = 10
= √82 + (y+1)2 =10
= √64+(y+1)2 =10
Squaring on both sides, we get,
64 +(y+1)2 = 100
64+ y2 + 2y + 1 = 100
y2 + 2y +1 = 100-64=36
y2+2y - 35 = 0
Now, by splitting the middle term method, we get,
y2+ 7y - 5y - 35= 0
y(y+7) -5(y+7)
(y-5) ( y+7)
y = 5 or y = -7
Therefore, the value of 'y' can be either 5 or -7.
Similar questions