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Easy Area of triangles using determinants MCQs for JEE

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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 are⁡A(3,1),B(12,2)\operatorname{are} \boldsymbol{A}(\mathbf{3}, \mathbf{1}), \boldsymbol{B}(\mathbf{1} \mathbf{2}, \mathbf{2}) and C(0,2)\boldsymbol{C}(\mathbf{0}, \mathbf{2})
Q2MathsUnit 3: Matrices and Determinants
When the base of a triangle is increased by 10%10 \% and the altitude to this base is decreased by 10%10 \%, the change in area is
Q3MathsUnit 3: Matrices and Determinants
The perimeters of two similar triangles is in the ratio 3:4.3: 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,NM, N are the middle points of the sides PQP Q and QRQ R respectively, then the ratio of the areas of the square and the △OMN\triangle O M N is

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