point a lies on the line pq joining p(6,-6) and q(-4,-1) in such a way that pa/pq=2/5 if point - Maths - Coordinate Geometry

Question

point a lies on the line pq joining p(6,-6) and q(-4,-1) in such a
way that pa/pq=2/5 if point p also lies on the line 3x + k (y+1) =
0, find the value of k

Amisha · Answer

first find the coordinates of a
A(2,4)
since a lies on line 3x+k(y+1)=0 so points will satisfy this
line
therefore, k= -6/5

point a lies on the line pq joining p(6,-6) and q(-4,-1) in such a way that pa/pq=2/5. if point p also lies on the line 3x + k (y+1) = 0, find the value of k.