Answer:
the lines are perpendicular
A) 7480$ will be in the account at the end of one year.
B) $6460 will be in the account at the end of 2 years.
<u>Solu</u><u>tion</u><u> </u><u>:</u><u>-</u>
Given coordinates to us are ,
- P(2,3) .
- Q(3,4).
- R(5,6)
- S(4,5)
Here it is asked to Prove that these are vertices of Rhombus . So we know that all sides of a Rhombus are equal .So if we show that value of all sides lenght are equal , then it will be a Rhombus .
We will use Distance Formula .
Now , here ,
<u>Dista</u><u>nce</u><u> </u><u>betwe</u><u>en</u><u> </u><u>P</u><u> </u><u>and</u><u> </u><u>Q</u><u> </u><u>:</u>
⇒ x = √ (2 - 3)² + (3-4)² .
⇒ x = √ (-1)² + (-1)² .
⇒ x = √ 1 + 1 .
⇒ x = √2 .
<u>Dista</u><u>nce</u><u> </u><u>betwee</u><u>n</u><u> </u><u>Q</u><u> </u><u>and</u><u> </u><u>S</u><u> </u><u>:</u>
⇒ x =√ [ (3-4)² + (5-4)².
⇒x = √ 1² + 1² .
⇒ x = √ 1 + 1 .
⇒ x = √2 .
Similarly we can prove other distances equal.
