Assertion : The co-ordinates of the point which divides the join of A(-5, 11) and B(4,-7) in the ratio 7 : 2 is (2, -3). Reason : The coordinates of the point P(x, y) which divides the line segment joining the points A(x1, y1) and B(x2, y2) in the ratio m1:m2 is (m1x2+m2x1/m1+m2, m1y2+m2y1/m1+m2. )
Answers
Given : Assertion : The co-ordinates of the point which divides the join of A(-5, 11) and B(4,-7) in the ratio 7 : 2 is (2, -3).
Reason : The coordinates of the point P(x, y) which divides the line segment joining the points A(x1, y1) and B(x2, y2) in the ratio m1:m2 is (m1x2+m2x1/m1+m2, m1y2+m2y1/m1+m2. )
To find : true/ False
Solution:
Reason : The coordinates of the point P(x, y) which divides the line segment joining the points A(x1, y1) and B(x2, y2) in the ratio m1:m2 is (m1x2+m2x1/m1+m2, m1y2+m2y1/m1+m2. )
TRUE
A(-5, 11) and B(4,-7) in the ratio 7 : 2
=> (7*4 + 2*(-5))/(7 + 2) , ( 7*(-7) + 2 *11)/(7 + 2)
=> ( 18/9) , ( -27/9)
=> ( 2 , - 3)
Assertion and reason both are True
and Reason is the correct explanation of Assertion
Learn More:
Find the coordinates of the midpoint of the line segment joining P(0,6) and Q(12,20).
brainly.in/question/4563388
If P (-1,1) is the midpoint of the line segment joining A(-3,b) and B (1 ...
brainly.in/question/13203314