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Monday, January 15, 2018

CLASS 12 MATHS UNIT TEST PAPER - MATRIX, DETERMINANT AND APPLICATIONS OF INTEGRALS

 UNIT TEST PAPER - MATRIX, DETERMINANT AND APPLICATIONS OF INTEGRALS 

CBSE Class 12 Maths Unit Test Paper


Time – 1:30 Hr                                                                                                                        M.M. 50

Very short Answer Type Questions ( 1 Mark)

1.If matrix A = [ 2 3 1 2 ] and matrix B = [ 2 3 1 2 ] , Then show that A 1 =Band B 1 =A
2.Using properties of determinant , show that | 0 99 998 99 0 997 998 997 0 |=0

Short Answer Type Questions ( 2 Mark)

3.Using properties of determinants show that Δ=| 1 log x y log x z log y x 1 log y z log z x log z y 1 |=0
4.If A = | 2 3 1 1 2 1 3 4 2 | is a non singular matrix of order 3x3 Show that |adj A| = |A|2
5.Using elementary column operation find the inverse of the matrix [ 2 3 3 5 ]
6.If A = [ α β γ α ] is such that A 2 =I then show that α 2 +βγ=I
7.Find the number of all possible matrices of order 3 x 2 with each entry 0, 1 and 2.

Long Answer Type Questions – I( 4 Marks)

8.If Matrix A = [ 2 3 1 1 4 5 ]andmatrixB=[ 3 4 1 5 2 3 ] then verify (AB)’ = B’A’
9.If A = [ 3 5 4 2 ],showthat A 2 5A14I=0.Hence,find A 1
10.Using properties of determinants, show that | sin 2 A cos 2 A sinAcosA sin 2 B cos 2 B sinBcosB sin 2 C cos 2 C sincCosC |=sin( AB )sin(BC)sin(CA)
11.Using elementary row operation, find the inverse of matrix A = [ 2 1 3 1 0 2 1 2 1 ]
12.Vertices of a ΔABC are A(2, 3), B(4, 2), C(x, 0). Area of the ΔABC is 5 sq. units. Find the value of x.

Long Answer Type Questions –I I( 6 Marks)

13.Using integration , find the area of the ΔABC whose vertices are A(1, 0), B(2, 2) and C(3,1).
14.Using matrices, solve: { 5xy+z=4 3x+2y5z=2 x+3y2z=5

Also Read : Class 12 Maths Test Paper for Continuity,Differentiation and AOD
                   Important Questions for Matrix and Determinant



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