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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
