Find the ratio in which the line segment joining the point
Answers
Step-by-step explanation:
Let the ratio be k : 1 .
Then by the section formula, the coordinates of the point which divides AB in the ratio k : 1 are
[ (-2k+3) / (k+1) , (7k - 3) / (k+1) ]
The point lies on x-axis, and we know that on the x-axis the ordinate is 0.
Therefore, (7k-3) / (k+1) = 0
=> 7k-3 = 0
=> 7k = 3
=> k = 3/7
=> k : 1 = 3 : 7
Putting the value of k = 3/7, we get point of intersection as
{ [ -2(3/7) + 3] ÷ (3/7)+1 , 0 }
=> { [(-6/7) + 3] ÷ (3/7) + 1 , 0 }
=> [(-6+21)/7 ÷ (3+7)/7 , 0 ]
=> [ 15/7 ÷ 10/7 , 0 ]
=> [ 15/10 , 0 ]
=> ( 3/2 , 0 ).
Step-by-step explanation:
The main difference between stars and planets is that stars have high temperatures compared to planets. ... Because they radiate energy, stars are very bright objects. Planets do not generate their own energy through nuclear reactions. They reflect some of the radiation coming from their parent star.