Question

Brochure that has the following problems with solutions.

Answer 1

Answer:

P ≡ $(- \frac{5}{4}, \frac{15}{4})$

Step-by-step explanation:

The point P divides the line segment from A(-2,3) and B(1,6) in the ratio of 1 : 3.

So, AP : PB = 1 : 3.

Now, the coordinates of point P will be given by $(\frac{1 \times 1 + 3 \times (- 2)}{1 + 3}, \frac{1 \times 6 + 3 \times 3}{1 + 3})$

= $(- \frac{5}{4}, \frac{15}{4})$ (Answer)

Note: Let there are two points with known coordinates $(x_{1},y_{1})$ and $(x_{2},y_{2})$ and another a point having coordinates (h,k) divides the line joining the two above points internally in the ratio m : n, then (h,k) is given by

(h,k) ≡ $(\frac{mx_{2} + nx_{1}}{m + n}, \frac{my_{2} + ny_{1}}{m + n})$