Let P S be the median of the triangle with vertices P ( 2 , 2 ) ,   Q ( 6 , - 1 ) and R ( 7 , 3 ) . The equation of the line passing through ( 1 , - 1 )   and parallel to P S is

Question

Let P S be the median of the triangle with vertices P ( 2 , 2 ) , &#160; Q ( 6 , - 1 ) and R ( 7 , 3 ) . The equation of the line passing through ( 1 , - 1 ) &#160; and parallel to P S is

Aicharya · Accepted Answer

P ( 2 , 2 ) ; &#160; Q ( 6 , - 1 ) ; &#160; R ( 7 , 3 ) S is the midpoint of Q and R . &#8756;&#160;&#160;&#160; S &#8801; 13 2 , &#160; 1 &#8756;&#160; Slope of P S = 2 - 1 2 - 13 2 = 1 - 9 2 = - 2 9 Therefore, the equation of the line passing through ( 1 , - 1 ) and parallel to &#160; P S is y +1= - 2 9 x - 1 &#8756; &#160;9 y +9=-2 x +2 &#8756; &#160; 2 x +9 y +7=0

Let P S be the median of the triangle with vertices P ( 2 , 2 ) ,   Q ( 6 , - 1 ) and R ( 7 , 3 ) . The…

Solution

Let P S be the median of the triangle with vertices P ( 2 , 2 ) , &#160; Q ( 6 , - 1 ) and R ( 7 , 3 ) . The…

Solution

Let P S be the median of the triangle with vertices P ( 2 , 2 ) , Q ( 6 , - 1 ) and R ( 7 , 3 ) . The…