9. Mathematics Practice Paper for Class XII (CBSE) Available Online ...

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Chemistry, Mathematics. Contact us for ONLINE TUTORING at TutorBreeze.com. 9. Mathematics Class 12 Practice Paper. 1. Write the principal value of. 1. 3. 2.

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