Question

Please solve this question ​

Answer 1

Answer: k = 25

Solution:

Let the coordinates of the point P be P(x,y)

a1 = 3 (First coordinate of point A)

a2 = 5 (Second coordinate of point A)

b1 = 2 (First coordinate of point B)

b2 = 1 (Second coordinate of point B)

m = 1

n = 2

Then, by section formula

ma2 + na1 / m + n = x,

1*5 + 2*3 / 2 + 1 = x

5 + 6 / 3 = x

x = 11/3

Now,

mb2 + nb1 / m + n = y

1*2 + 2*2 / 2 + 1 = y

2 + 4 / 3 = y

y = 2

Now, put values of x and y in the given equation

3(11/3) - 18(2) + k = 0

11 - 36 + k = 0

25 = k

Thus, the value of k is 25.

Answer 2

Answer:

Step-by-step explanation:

The points A(3, 2) and B(5, 1) is divided at the point P in the ratio 1 : 2

3x-38y+k=0-------------------------------1

we have to find the value of k

=by section formulla

x=mx2+nx1/m+n    

 = 1*5+2*3/1+2       = 11/3

now

y=my2+ny1/m+n

y=1*1+2*2/1+2        =5/3

put the values of x and y in =n 1

3*11/3-18*5/3+k=0

11-30=-k

-19=-k            =   k=19

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