Question

find the coordinates of the point which divides the join of(5,-2)and (9,6)in the ratio 3:1​

Answer 1

hope it helps you.......

already did the answer back

Answer 2

Answer:

The answer will be (8,4).

Step-by-step explanation:

We have given coordinate points and its ratio and i.e. ;

                     Coordinate 1 or ($x_{1}$ , $y_{1}$) = (5 , -2);

                     Coordinate 1 or ($x_{2}$ , $y_{2}$) = (9 , 6);

                    Ratio = 3 : 1;                         (let, m1 = 3 and m2 = 1)

Here, we gonna apply section formula;

So, according to section formula, the coordinate with regard of the ratio will be;

                             ($\frac{m_{1}x_{2} + m_{2}x_{1} }{m_{1} + m_{2} } , \frac{m_{1}y_{2} + m_{2}y_{1} }{m_{1} + m_{2} }$);   (here, m1 and m2 are the respective ratios)                      

  Now, we gonna put the respective values in our section formulae;

Hence,                   ($\frac{3*9 + 1*5 }{3 + 1 } , \frac{3*6 + 1(-2) }{3 + 1 }$);

                              ($\frac{27 + 5 }{4 } , \frac{18 -2 }{4 }$);

                              ($\frac{32 }{4 } , \frac{16 }{4 }$);

                               (8 , 4);

Thus our required coordinate is (8,4).

That's all.