Question

Assertion (A): Mid-point of a line segment divides line in the ratio 1:1. Reason (R):The ratio in which the point (-3,k) divides the line segment joining the points (-5,4) and (-2,3) is 1:2

Answer 1

Answer:

both A and R are true & R is not correct explanation of A

Answer 2

Answer:

Assertion A is TRUE but Reason R is false

Step-by-step explanation:

Let ( -3 , k ) divides the line segment joining the points ( -5 ,4 ) and ( -2 ,3 )in the ratio m : n ,

then -3 = [ (-2)m + (-5)n ] ÷ ( m + n )

or , - 3 ( m + n ) = -2m - 5n

or , -3m - 3n = -2m -5n

or , -3m + 2m = -5n + 3n

or, - m = - - 2n

or, m = 2 n

or m : n = 2:1

There given that ratio is 1 : 2 .

So R is false