CUET Mathematics - The area of a triangle whose vertices are (x_1, y_1), (x_2, y_2) and (x_3, y_3) is given by the absolute value of | PYQs + Solutions

CUET Mathematics 2025 15 May Shift 1

Algebra

Medium

core

$\Delta=\frac12\left| \begin{array}{ccc} x_1 & y_1 & 1\\ x_2 & y_2 & 1\\ x_3 & y_3 & 1 \end{array} \right|$

$\Delta=\left| \begin{array}{ccc} x_1 & y_1 & 1\\ x_2 & y_2 & 1\\ x_3 & y_3 & 1 \end{array} \right|$

$\Delta=\frac12\left| \begin{array}{ccc} x_1 & y_1 & 1\\ x_2 & y_2 & 1\\ x_3 & y_3 & 0 \end{array} \right|$

$\Delta=\left| \begin{array}{ccc} x_1 & y_1 & 1\\ x_2 & y_2 & 0\\ x_3 & y_3 & 0 \end{array} \right|$

✅ Correct Option: 1

Related questions:

15 May Shift 2

If $A = \begin{bmatrix} 3 & -2 & 3 \\ 2 & 1 & -1 \\ 4 & -3 & 2 \end{bmatrix}$ , then the matrix (adj A)A is equal to

16 May Shift 1

Match List-I with List-II

Let $A$ be any invertible square matrix. Then

Choose the correct answer from the options given below:

30 May Shift 2

If the system of equations

$x - 3y + 5z = 3$

$x - 2y + 4z = 4$

$2x - 7y + \lambda z = 5$

has infinite number of solutions, then the value of $\lambda$ is:

CUET Mathematics 2025 15 May Shift 1 PYQs