How to answer this using coordinate geometry- section formula ?
2 Answers
Explanation:
.
Using the distance formula:
Subtracting equation
We substitute this for
We multiply the equation by
Combining like terms, we get:
Dividing it by
Explanation:
#"given a line MN being divided by a point P"#
#"in the ratio m : n"#
#"if "M=(x_1,y_1)" and "N=(x_2,y_2)" then P "#
#"using the "color(blue)"section formula"#
#color(red)(bar(ul(|color(white)(2/2)color(black)(P=((nx_1+mx_2)/(m+n)),((ny_1+my_2)/(m+n)))color(white)(2/2)|)))#
#2MN=3MPrArrMP=2/3MN" and "PN=1/3MN#
#(x_1,y_1)=(10,13)" and "(x_2,y_2)=(4,-2)#
#"and the ratio "m:n=2:1#
#rArrP=((10+(2xx4))/(2+1),(13+(2xx-2))/(2+1))#
#color(white)(rArrP)=(18/3,9/3)=(6,3)#