List of top Mathematics Questions on Collinearity of points

If the points \((2, 3)\), \((0, 4)\) and \((p, 2)\) are collinear, then the value of \(p\) is:

Assertion (A) : The vectors \( \vec{a} \) and \( (-2\vec{a}) \), where \( \vec{a} \neq \vec{0} \), are collinear vectors.
Reason (R) : \( \vec{a} \cdot (-2\vec{a}) = 0 \).

What is the value of '$k$' for which the points $(-1, 2)$, $(1, 4)$ and $(3, k)$ are collinear?

If the points (1, 2), (-1, k) and (2, 3) are collinear, then the value of k is

If the points (2, -3), (λ, -1) and (0, 4) are collinear, then the value of λ is :

If the points \((a,0),(0,b)\) and \((1,1)\) are collinear, then \(\frac{1}{a}+\frac{1}{b} =\)

Distance between the points (4,-8), (5,-2) is

If three points (8, 1), (k,-4) and (2,-5) are collinear, then k=

If the points (2, 1), (1, 4) and (a, 3) are collinear then the value/(s) of a is/(are):

If the points (x, 9), (0, 1) and (-6,-7) are collinear, then the value of x is

If (8,1), (k,-4), (2,-5) are collinear, then k= _____ .