Question

P (6,-6) Q (3,-7)and R (3,3 ) verify whether points are collinear

Answer 1

Answer:

Hence its not collinear

Proved

Answer 2

P (6,-6),  Q (3,-7) and R (3,3 ) are not collinear  

Step-by-step explanation:

Given: P (6,-6),   Q (3,-7) and R (3,3 )  are three points

To verify : These three points are collinear or not

As we know if three points are collinear then the area of triangle is zero

Now

area of triangle is given by

$area = \dfrac{1}{2} (x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2))$

where $(x_1,y_1),(x_2,y_2),(x_3,y_3)$ are the coordinates of vertex of triangle

Now

let

$(x_1,y_1)=P(6,-6),(x_2,y_2)=Q(3,-7),(x_3,y_3)=R(3,3)$

so

$area= \dfrac{1}{2} (6(-7-3)+3(3-(-6))+3(-6-(-7)))\\\\\Rightarrow area= \dfrac{1}{2} (6\times (-10)+3\times 9+ 3\times 1)\\\\\Rightarrow area=\dfrac{1}{2} (-60+27+3)=15 sq. unit$

As the area is not equal to zero therefore these three points are not collinear

#Learn more

Show that the points (1,1) and(2,2) and (3,3) are collinear​

brainly.in/question/8259036