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Class 12 Maths Study Material

An Educational platform for Preparation and Practice Class 12. Kidsfront provide unique pattern of learning Maths with free online comprehensive study material in the form of QUESTION & ANSWER for each Chapter of Maths for Class 12. This study material help Class 12, Maths students in learning every aspect of Determinants. Students can understand Determinants concept easily and consolidate their learning by doing Online Practice Tests on Maths,Determinants chapter repeatedly till they excel in Class 12, Determinants. Free ONLINE PRACTICE TESTS on Class 12, Determinants comprise of Hundreds of Questions on Determinants, prepared by the highly professionals team. Every repeat test of Determinants will have new set of questions and help students to prepare themselves for exams by doing unlimited Online Test exercise on Determinants. Attempt ONLINE TEST on Class 12,Maths,Determinants in Academics section after completing this Determinants Question Answer Exercise.

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Determinants

is equal to?

a) 1 + a² + b² + c²
b) 1 - a² + b² + c²
c) 1 + a² + b²- c²
d) 1 + a² - b² + c²

✔Answer

Correct Answer Is : 1 + a² + b² + c²

Solution Is :

If A = , then cofactors of the elements of 2nd row are?

a) (39, -3, 11)
b) (-39, 3, 11)
c) (-39, 27, 11)
d) (-39, -3, 11)

✔Answer

Correct Answer Is : (-39, 27, 11)

Solution Is :

The value of x, if = 0, is equal to?

a) ±√6
b) ±√2
c) ±√3
d) √2 , √3

✔Answer

Correct Answer Is : ±√2

Solution Is :

The determinant is equal to zero, if a, b, c are in?

a) G. P.
b) A. P.
c) H. P.
d) None of these

✔Answer

Correct Answer Is : G. P.

Solution Is :

Value of λ for which the homogeneous system of equations 2x + 3y - 2z = 0, 2x - y + 3z = 0, 7x + λy - z = 0 has non-trivial solutions is?

a) 57/10
b) (-57/10)
c) 81/10
d) 55/10

✔Answer

Correct Answer Is : 57/10

Solution Is :

If a, b, c are in A.P. , then the value of is?

a) X - (a + b + c)
b) 9x² + a + b + c
c) A + b + c
d) 0

✔Answer

Correct Answer Is : 0

Solution Is :

is equal to?

a) (p - q)(q - r)(r - p)
b) Pqr
c) Zero
d) 3pqr

✔Answer

Correct Answer Is : Zero

Solution Is :

The value of is?

a) 8
b) -8
c) 400
d) 1

✔Answer

Correct Answer Is : -8

Solution Is :

Let = x + iy, then

a) X = 3, y = 1
b) X = 0, y = 0
c) X = 0, y = 3
d) X = 1, y = 3

✔Answer

Correct Answer Is : X = 0, y = 0

Solution Is :

If = k, then = ?

a) 6k
b) K/6
c) 2k
d) 3k

✔Answer

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Class 12 Maths Study Material

Determinants

is equal to?

Correct Answer Is : 1 + a2 + b2 + c2

Solution Is :

If A = , then cofactors of the elements of 2nd row are?

Correct Answer Is : (-39, 27, 11)

Solution Is :

The value of x, if = 0, is equal to?

Correct Answer Is : ±√2

Solution Is :

The determinant is equal to zero, if a, b, c are in?

Correct Answer Is : G. P.

Solution Is :

Value of λ for which the homogeneous system of equations 2x + 3y - 2z = 0, 2x - y + 3z = 0, 7x + λy - z = 0 has non-trivial solutions is?

Correct Answer Is : 57/10

Solution Is :

If a, b, c are in A.P. , then the value of is?

Correct Answer Is : 0

Solution Is :

is equal to?

Correct Answer Is : Zero

Solution Is :

The value of is?

Correct Answer Is : -8

Solution Is :

Let = x + iy, then

Correct Answer Is : X = 0, y = 0

Solution Is :

If = k, then = ?

Correct Answer Is : 6k

Solution Is :

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Correct Answer Is : 1 + a² + b² + c²