Mathematics · JEE

Important Questions: Area of triangles using determinants for JEE

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The most important Area of triangles using determinants questions for JEE cover conceptual traps, standard results, and numerical patterns from Area of triangles using determinants. Goodmarks provides 4+ high-yield MCQs with full solutions.

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Syllabus context

Part of Matrices and Determinants in JEE Main Mathematics.

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Q1MathsUnit 3: Matrices and Determinants

Find the area of triangle having vertices

\operatorname{are} \boldsymbol{A}(\mathbf{3}, \mathbf{1}), \boldsymbol{B}(\mathbf{1} \mathbf{2}, \mathbf{2})

and

\boldsymbol{C}(\mathbf{0}, \mathbf{2})

Q2MathsUnit 3: Matrices and Determinants

When the base of a triangle is increased by

10 \%

and the altitude to this base is decreased by

10 \%

, the change in area is

Q3MathsUnit 3: Matrices and Determinants

The perimeters of two similar triangles is in the ratio

3: 4 .

The sum of their areas is 75 sq. cm. Find the area of each triangle in sq. cm.

Q4MathsUnit 3: Matrices and Determinants

OPQR is a square and

M, N

are the middle points of the sides

P Q

and

Q R

respectively, then the ratio of the areas of the square and the

\triangle O M N

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What makes a Area of triangles using determinants question "important" for JEE?

Important questions test core concepts that appear frequently across JEE Main and Advanced papers — definitions, standard formulas, and classic problem types.

Which subtopics in Matrices and Determinants are high-weightage?

Key areas include Area of triangles using determinants. Prioritise these before moving to edge cases.

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Revise 30–50 important MCQs per unit in the last month before JEE. Focus on questions you got wrong at least once.

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