Saved Bookmarks
| 1. |
find the co-ordinates of the point which divides (-1,7) and (4,-3) in the ratio 2:3 |
|
Answer» 1,3 is the correct answer Welcome We know that, the coordinates of the point dividing the line segment joining the points x 1\u200b ,y 1\u200b and x 2\u200b ,y 2\u200b in the ratio m:n is given by ( m 1\u200b +m 2\u200b 1m 1\u200b x 2\u200b +m 2\u200b x 1\u200b \u200b , m 1\u200b +m 2\u200b m 1\u200b y 2\u200b +m 2\u200b y 1\u200b \u200b )Given (x 1\u200b ,y 1\u200b )=(−1,7); (x 2\u200b ,y 2\u200b )=(4,−3) (m 1\u200b ,m 2\u200b )=2:3Coordinates of point of intersection of line segment is( 2+3(2)(4)+(3)(−1)\u200b , 2+3(2)(−3)+(3)(7)\u200b )=(5/5,15/5)=(1,3) |
|