Properties of Determinants Class 12 OP Malhotra Exe-5C ISC Maths Solutions Ch-5 Determinants. In this article you would learn to solve the Example / Questions on Properties of Determinants with Answer. Visit official Website CISCE for detail information about ISC Board Class-12 Mathematics.
Properties of Determinants Class 12 OP Malhotra Exe-5C ISC Maths Solutions Ch-5 Determinants
| Board | ISC |
| Publications | S Chand |
| Subject | Maths |
| Class | 12th |
| Chapter-5 | Determinants |
| Writer | OP Malhotra |
| Exe-5(C) | Properties of Determinants |
Example / Questions on Properties of Determinants with Answer
Class 12 OP Malhotra Exe-5C ISC Maths Solutions Ch-5
Que-1: Find the area of the triangle whose vertices are :
(i) (- 8, – 2), (- 4, – 6), (- 1, 5)
(ii) (- 3, 5), (3, – 6), (7, 2)
Sol:
Que-2: Using determinants, prove that the following points are collinear
(i) (11, 7), (5, 5), (- 1, 3)
(ii) (0, 3), (4, 6), (- 8, – 3)
Sol:
Que-3: Show that the points (b , c + a), (c, a + b) and (a, b + c) are collinear.
Sol: Here, area of triangle formed by vertices as given points is given by
Thus, the given points are collinear.
Que-4: Find x so that the points (3, – 2), (x, 2) and (8, 8) be on a line.
Sol: Since, the given points (3, – 2), (x, 2) and (8, 8) lies on a line
∴ given points are collinear. Thus the area of triangle formed by given points as vertices be zero.
Que-5: If (x, y), (a, 0), (0, b) are collinear, then using determinants prove that x/a+y/b = 1.
Sol: Since given points (x, y), (a, 0), (0, b) are collinear
∴ area area of ∆ formed by given points as vertices be equal to 0.
⇒ ab – bx – ay = 0
⇒ bx + ay = ab
⇒ x/a+y/b = 1 which is the required result
–: End of Properties of Determinants Class 12 OP Malhotra Exe-5C ISC Maths Ch-5 Determinants Problems with Solutions :–
Return to :- OP Malhotra ISC Class-12 S Chand Publication Maths Solutions
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