Class 12 ISC Maths Chapter Determinants Exercise 4.3
Explore our extensive collection of questions on the topic of "Determinants," designed to help you understand and apply this fundamental concept in linear algebra. Our question bank covers key topics such as properties of determinants, cofactor expansion, minors, applications in solving systems of linear equations, and finding the inverse of matrices. These practice questions are perfect for students aiming to build a strong foundation in determinants and excel in exams. Whether you're revising concepts or looking to enhance your problem-solving skills, our comprehensive collection provides the ideal resource for mastering "Determinants."
class 12 Determinants exercise4-1
Determinants
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Q1
Using determinants, find the area of the triangle whose vertices are :
Q3
Using determinants, determine whether the points P(a, b + c), Q(b, c + a) and R(c, a + b) form a triangle or not
Q4
Using determinants, find the value of λ so that the points (λ, 7), (1,-5) and (-4, 5) are collinear.
Q5
Using determinants, find the equation of the line passing through the points (1, 2) and (3, 6).
Q6
If the area of a triangle with vertices (-3, 0), (3, 0) and (0, k) is 9 sq. units, find the value(s) of k.
Q7
Find the value(s) of k if the area of the triangle with vertices (k, 0), (4, 0) and (0, 2) is 4 sq. units.
Q8
Find the value(s) of x if the area of the triangle with vertices (x,4), (2,-6) and (5, 4) is 35 sq. units
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