Points are collinear if 2−1a143111=0.
Expand: 2(4−3)−1(−1−a)+1(−3−4a)=0.
2+1+a−3−4a=0⇒−3a=0⇒a=0.
CUET UG 2023 — Mathematics Algebra
If the points (2, 1), (−1,4) and (a, 3) are collinear then the value/(s) of a is/(are) :
Held on 15 Jun 2023 · Verified 13 Jul 2026.
1, 2
3, 0
0
2, 1
Sign in to track your attempts and accuracy.
Sign in to keep a private note on this question. Nothing you write is ever public.
If f(x) = 2x + 3, then f⁻¹(x) is:
If the roots of the equation x² - 5x + k = 0 are in the ratio 2:3, then the value of k is:
If $A = [a_{ij}]$ be square matrix of order 3, such that $a_{ij} = i + j$, $\forall i, j$ then which of the following are correct? (A) A is a skew-symmetric matrix. (B) A is a non-singular matrix. (C) The inverse of A does not exist. (D) A is a symmetric matrix. Choose the correct answer from the options given below:
A function $f: \mathbb{R} \rightarrow \mathbb{R}$ defined by $f(x) = \frac{x}{x^2+1}$ is (where $\mathbb{R}$ is a set of real number)
Assume $P$, $Q$, $R$ and $W$ are matrices of order $3 \times 3$, $a \times 4$, $b \times c$ and $d \times a$ respectively. If $PQ + WR$ is well defined, then the value of $ab + cd$ is:
Work through every CUET UG Algebra PYQ, year by year.