a.
Find the points on the x-axis whose distances from the points A (7,6) and
B(-3, 4) are in ratio 1:2....pls solve this...i had solved but still not sure of the answer...
Answers
Points are ( 35/3 , 0) & ( 9 , 0)
Step-by-step explanation:
Let say point P on the x axis
= ( P , 0)
Distance of P from A ( 7 , 6) = √(P - 7)² + (6 - 0)²
= √(P - 7)² + 6²
= √P²+ 49 - 14P + 36
= √P²- 14P + 85
Distance of P from B ( -3 , 4) = √(P - (-3))² + (4 - 0)²
= √(P + 3)² + 4²
= √P²+ 9 +6P + 16
= √P² + 6P + 25
PA/PB = 1/2
=> √P²- 14P + 85 / √P² + 6P + 25 = 1/2
Squaring both sides
=> (P²- 14P + 85) / (P² + 6P + 25 ) = 1/4
=> 4P² - 56P + 340 = P² + 6P + 25
=> 3P² - 62P + 315 = 0
=> 3P² - 27P - 35P + 315 = 0
=> 3P(P - 9) - 35(P - 9) = 0
=> (3P - 35) (P - 9) = 0
=> P = 35/3 , P = 9
Points are ( 35/3 , 0) & ( 9 , 0)
Learn more:
THE COORDINATES OF A POINT M(4,-3).WHAT ARE THE ...
https://brainly.in/question/13659096
23. Find the distance between the points:(3,-2) and (15,3) - Brainly.in
https://brainly.in/question/12432245
Find value of P , if the distance between the points are ( 4 , p ) and ...
https://brainly.in/question/7650873