Question

If P (-2,-5) and (4,3) and R divides
the segment PO in ratio 3:4 find
Co-ordinates of R​

Answer 1

Answer:

 p(-2,-5) ------------------------R------------------------O(4,3)

                   3                            4

let the coordinates of r be (x,y)

formula:x=$mx_{2}$+$nx_{1}$/m+n

           y=$my_{2}$+$ny_{1}$/m+n

m and n is the ratio  in which the line segment is divided

x=3(4)+4(-2)/3+4                  and       y=3(3)+4(-5)/3+4

=12-8/7                                               =9-20/7

=4/7                                                    =-11/7

coordinates of r(4/7,-11/7)

PLEASE MARK THIS AS THE BRAINLIEST ANSWER

Answer 2

$\blue{ \Uparrow \bf Check \: Attachment \Uparrow }$

$\bf Formula \: used :$

$\boxed{ \green{\bf x = \frac{{x}_{1}{m}_{2 }+ {x}_{2}{m}_{1}}{{m}_{1}{m}_{2}}} }\\ \\ \boxed{ \orange{ \bf y = \frac{{y}_{1}{m}_{2 }+ {y}_{ 2}{m}_{1}}{{m}_{1}{m}_{2}}}}$

co-ordinate of R :

$\underline{ \boxed{ \red{ \bf R( \frac{ 4}{7} , - \frac{11}{7} )}}}$