Mid Term Examination Subject: Opt Maths Full Mark:50 Class: VIII Time: 1:30 Hrs. Pass Mark: 20

 

­ Mid Term Examination

Subject: Opt  Maths                                                          Full Mark:50

Class: VIII                    Time: 1:30 Hrs.                        Pass Mark:  20

 

Group 'A' [11×1=22]     

1.  a) Find the value of x and y if (x-2, )=(1,2)

4

1

2

3

1

9

ž16

     b) Find the domain, co-domain and range from the given figure R:A B.

 

 

 

 

2.  a)  If f(x)=3x² then find f(1) and f(2).

     b)  Convert 25°15ꞌ10ꞌꞌ into sexagesimal seconds.

 

3.  a)  Reduce into degree and grade

A

B

C

4

4

     b)  Find the length of missing side of right angled triangle.

 

 

 

 

 

4.  a)  Prove that = .

     b)  If A=  find 2A

5.  a)  If A= , B= , find 2A+3B.

     b)  A={1,3,5} and B={2,3}, find A×B and n(A×B).

     c)  Factorise: sin² 5sin 6

Group'B' [7×4=28]

6.  If A={a,b,c} and B={1,2,3}, then find B×A. Also present them by arrow diagram and tabulation methods.

7.  Using the synthetic division, find the quotient and remainder when f(x) is divided by g(x).

     f(x)=2x³+9x²+10x+3; g(x)=(x+1)

8.  If the two angles of a triangle are 45° and 70^g, find the third angle in radian.

A

B

C

D

9.  In the given figure, find the values of  and .

 

 

 

 

 

 

10. Prove that =

 

11. If A= , B= , verify that (3A+4B)^T=3A^T+4B^T.

12. Construct a 3×2 matrix A whose elements a_ij are given by a_ij=3i+4j.

 

 

"Best Of Luck"