Question

For what value of P,the three points (3,2),(4,p) and (5,3) are collinear?

Answer 1

HEY THERE!!!


Question:-


For what value of P,the three points (3,2),(4,p) and (5,3) are collinear?

Method Of Solution;-

For Collinear!!

X1(y2-y3)+x2(y3-y1)+x3(y1-y2)

Substitute the Given value in Equation!!

X1(y2-y3)+x2(y3-y1)+x3(y1-y2) = 0

=> 3(p- 3) + 4(3-2) + 5(2-p) = 0

=> 3p-9 + 4(1) + 10-5p = 0

=> 3p-5p -9+4+10 = 0

=> -2p -9+14 = 0

=> -2p +5 = 0

=> -2p = -5

•°• p = 5/2

Hence, For value of p (5/2) ,the three points (3,2),(4,p) and (5,3) are collinear.

$\ll$

Answer 2

X1(y2-y3)+x2(y3-y1)+x3(y1-y2) = 0

3(p- 3) + 4(3-2) + 5(2-p) = 0

3p-9 + 4(1) + 10-5p = 0

3p-5p -9+4+10 = 0

-2p -9+14 = 0

-2p +5 = 0

p = 5/2