If the points P [x_ 1 , Y_ 1 ] , Q [x_ 2 , y_ 2 ] and R [x_ 3 , y_ 1 ] are collinear…
Mathematics · JEE Main · NTA Exams — Matrices and Determinants
If the points P\(\left[x_{1}, Y_{1}\right]\), Q\(\left[x_{2}, y_{2}\right]\) and R\(\left[x_{3}, y_{1}\right]\) are collinear, then the rank of the matrix \[\left[\begin{array}{lll}
\mathbf{x}_{1} & \mathbf{y}_{1} & 1 \\
\mathbf{x}_{2} & \mathbf{y}_{2} & 1 \\
\mathbf{x}_{3} & \mathbf{y}_{3} & 1
\end{array}\right]\] will always be less than :
- 2
- 3
- 1
- None of these
Answer
(A) 2
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Matrix [ array ccc 0 & 5 & -7 -5 & 0 & 11 7 & -11 & 0 array ] is a-
- If A and B are square matrices of same order, then which of the following is skew–symmetric –
- Given a, b, c are in A.P. Then determinant | array lll x+1 & x+2 & x+a x+2 & x+3 & x+b x+3 & x+4 & x+c array…
- [ array cc 1 & - / 2 / 2 & 1 array ] [ array cc 1 & / 2 - / 2 & 1 array ]^ -1 is equal to
- If A= [ array ll 0 & 1 0 & 0 array ] and a and b are arbitrary constants then (aI + bA) 2 =
- If the three linear equations x+4 a y+a z=0 , x + 3 b y + b z = 0 and x+2 c y+c z=0 have a non-trivial…
- If X and Y two matrices are such that X-Y= [ array cc 3 & 2 -1 & 0 array ] and X+Y= [ array cc 1 & -2 3 & 4…
- If A= [ array lll 1 & 3 & 5 3 & 5 & 1 5 & 1 & 3 array ] , then adj. A is equal to -
More Matrices and Determinants questions · Browse all practice questions