Question

If the coordinates of a point p(m-3 , -6) = p(-7 , -6), then find the value of m .

Answer 1

Answer:

Let the required ratio be k:1.

Then, by the section formula, the coordinates of P are

P(9k+15k+1,20k+5k+1)

But, this point is given as P(11, y).

∴9k+15k+1=11 ⇒ 9k + 15 = 11k + 11 ⇒ 2k = 4 ⇒ k = 2

So, the required ratio is 2:1

Putting k = 2 in P, we get

y=20×2+5(2+1)=453=15

Hence, y = 15.

Step-by-step explanation: