Class 12 CBSE Applied Maths Determinants Exercise 4.3

Class 12 CBSE Applied Maths aims to develop an understanding of basic mathematical and statistical tools and their applications in the field of commerce (business/ finance/economics) and social sciences. Topics covered in Class 12th Applied Maths includes : Numbers, Quantification and Numerical Applications, Algebra, Calculus, Probability Distributions , Inferential Statistics, Index Numbers and Time-based data , Financial Mathematics , Linear Programming.


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Exercise 4.1 Exercise 4.2 Exercise 4.4 Exercise 4.5 Exercise 4.6 Exercise 4.7 Exercise 4.8 Exercise 4.9 Case Study

Q1. Using determinants, find the area of the triangle whose vertices are :
(i) (3, 8), (-4, 2), (5, 1) (ii) (2, 7), (1, 1), (10, 8).

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Q2. Show that the points (1, 0), (6, 0), (0, 0) are collinear.

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Q3. Using determinants, find the value of λ so that the points (λ, 7), (1, -5) and (4, 5) are collinear.

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Q4. Using determinants, find the equation of the line passing through the points (1, 2) and (3, 6).

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Q5. Find the value(s) of x if the area of the triangle with vertices (x, 4), (2, —6) and (3, 4) is 35 sq. units.

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Q6. If the points (a, 0), (0, b) and (1, 1) are collinear, prove that a + b = ab.

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