Mathematics · JEE

Area of triangles using determinants Mock Test for JEE

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Syllabus context

Part of Matrices and Determinants in JEE Main Mathematics.

Free sample questions

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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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