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In this Class 12 Mathematics topic from the chapter Determinants, students learn how to find the area of a triangle when the coordinates of its three vertices are given. They use a 3×3 determinant, apply the area formula, and take the absolute value to obtain a positive result. The topic also helps students understand that a zero determinant indicates collinear points, so no triangle is formed, while reinforcing determinant expansion, coordinate substitution, and clear step-by-step algebraic calculation.
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Easy · Level 8 · interval-notation,linear-inequality,real-numbers,sets,Area of triangle using determinants,Determinants,Mathematics,Class 12 MCQView options
(-∞, 2), all real numbers less than 2
(-∞, 2], all real numbers less than or equal to 2
[2, ∞), all real numbers greater than or equal to 2
(2, ∞), all real numbers greater than 2
Question 1EasyLevel 8
Which interval represents x < 2?
Correct answer: A
The inequality x < 2 includes every real number smaller than 2, such as 1, 0, and -5, but it does not include 2 itself. Therefore, the interval is written as (-∞, 2). The round parenthesis at 2 shows that the endpoint is excluded, while infinity always uses a parenthesis because infinity is not an actual real number.
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