9. Mathematics Practice Paper for Class XII (CBSE) Available Online Tutoring for students of classes 4 to 12 in Physics, Chemistry, Mathematics 9. Mathematics Class 12 Practice Paper

3 . 2

1.

Write the principal value of cos −1 −

2.

Write the range of the principal branch of sec −1 x defined on the domain R − ( −1, 1) .

3.

Find x if

4.

If A is a square matrix of order such that adj A = 64, find A T .

5.

If A is a square matrix A 2 = I, then what is the inverse of A?

6.

If f

7.

3 d3 y dy + = x What is the degree of the following differential equation? y 3 dx 2 dx dx

8.

If a and b represent the two adjacent sides of a parallelogram, the write the area of the

3

4

−5

2

=

2x

4

−5

3

( x ) = sin x 0 , find

.

dy . dx 2

d2 y

r

r r

r

paralogram in terms of a and b.

r

r

r

r

r

r

9.

Find the angle between the vectors a and b. if a = 3, b = 4 and a × b = 6.

10.

Find the direction of cosines of a line passing through origin and lying in the first octant, making equal angles with three coordinate axes.

Section B

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9. Mathematics Practice Paper for Class XII (CBSE) Available Online Tutoring for students of classes 4 to 12 in Physics, Chemistry, Mathematics 11.

Show that the relation R in the set A= {x : x ε z, 0 < x

3 . 2

1.

Write the principal value of cos −1 −

2.

Write the range of the principal branch of sec −1 x defined on the domain R − ( −1, 1) .

3.

Find x if

4.

If A is a square matrix of order such that adj A = 64, find A T .

5.

If A is a square matrix A 2 = I, then what is the inverse of A?

6.

If f

7.

3 d3 y dy + = x What is the degree of the following differential equation? y 3 dx 2 dx dx

8.

If a and b represent the two adjacent sides of a parallelogram, the write the area of the

3

4

−5

2

=

2x

4

−5

3

( x ) = sin x 0 , find

.

dy . dx 2

d2 y

r

r r

r

paralogram in terms of a and b.

r

r

r

r

r

r

9.

Find the angle between the vectors a and b. if a = 3, b = 4 and a × b = 6.

10.

Find the direction of cosines of a line passing through origin and lying in the first octant, making equal angles with three coordinate axes.

Section B

Contact us for ONLINE TUTORING at TutorBreeze.com

9. Mathematics Practice Paper for Class XII (CBSE) Available Online Tutoring for students of classes 4 to 12 in Physics, Chemistry, Mathematics 11.

Show that the relation R in the set A= {x : x ε z, 0 < x