Area of a Triangle Formula

If the area of the triangle is $0$, then the given points are called

Find the value of $k$ if the points $P(2, 3), Q(4, k)$ and $R(6, –3)$ are collinear.

Calculate the area of a triangle with vertices $(1,1),(3,1)$ and $(5,7)$.

The area of $△ABC=15$ square unit, where $A=\left(1,k\right), B=\left(4,-3\right)$ and $C\left(-9,7\right)$. Find the value of $k$.

Akhila says, "points $A(1,3), B(2,2), C(5,1)$ are collinear". Do you agree with Akhila?

In the diagram on a Lunar eclipse, if the positions of Sun, Earth and Moon are shown by $(-4,6), (k,-2)$ and $(5,-6)$ respectively, then find the value of $k$.

Find the area of the quadrilateral(in sq. units) whose vertices taken in order, are $(-4,-2), (-3,-5), (3,-2)$ and $(2,3)$.

If points $(1,2),(-1, x)$ and $(2,3)$ are collinear, then $x$ will be :

If the vertices of a triangle have integral coordinates, the triangle cannot be