MEDIUM
12th ICSE
IMPORTANT
Earn 100

Using determinants, determine whether the points P(a, b+c), Q(b, c+a) and R(c, a+b) form a triangle or not.

Important Questions on Determinants

MEDIUM
12th ICSE
IMPORTANT
Understanding ISC Mathematics Class 12 Volume 1>Chapter 4 - Determinants>EXERCISE 4.3
Using determinants, find the value of λ so that the points (λ, 7), (1,-5) and (-4, 5) are collinear.
HARD
12th ICSE
IMPORTANT
Understanding ISC Mathematics Class 12 Volume 1>Chapter 4 - Determinants>EXERCISE 4.3

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

HARD
12th ICSE
IMPORTANT
Understanding ISC Mathematics Class 12 Volume 1>Chapter 4 - Determinants>EXERCISE 4.3
If the area of triangle with vertices (-3, 0), (3, 0) and (0, k) is 9 Sq. Units, find the value of k.
MEDIUM
12th ICSE
IMPORTANT
Understanding ISC Mathematics Class 12 Volume 1>Chapter 4 - Determinants>EXERCISE 4.3
Find the value(s) of k if the area of the triangle with vertices (k, 0), (4, 0) and (0, 2) is 4 square units.
MEDIUM
12th ICSE
IMPORTANT
Understanding ISC Mathematics Class 12 Volume 1>Chapter 4 - Determinants>EXERCISE 4.3
Find the value(s) of x if the area of the triangle with vertices (x, 4), (2, -6) and (5, 4) is 35 square units.
MEDIUM
12th ICSE
IMPORTANT
Understanding ISC Mathematics Class 12 Volume 1>Chapter 4 - Determinants>EXERCISE 4.3
Points  a, 0, 0, b, 1, 1 are collinear. Prove that a+b=ab.
MEDIUM
12th ICSE
IMPORTANT
Understanding ISC Mathematics Class 12 Volume 1>Chapter 4 - Determinants>EXERCISE 4.4
If 0<x<π and  the matrix cosx134cosx is singular, find the value of x.
EASY
12th ICSE
IMPORTANT
Understanding ISC Mathematics Class 12 Volume 1>Chapter 4 - Determinants>EXERCISE 4.4
Check the matrix 6-322-12-1052 is singular or non-singular?