Opt Maths Series 8

          First Term Examination-2071

   Class:VIII                        Time:1.5 hrs                                        F.M:50

   Subject: Opt Math                                                                      P.M:20

1.Fill in the blanks                Group  'A'                              1x10=1

   a.The hypotenuse  is  the -----------side in  a right angled triangle.

   b. A point is on x-axis its ordinate is-----------------

   c.There are ----------trigonometric ratios .

   d. A point is on y-axes its abscissa is ---------------

   e. The distance between any two point (x,y) and (x,y) is given by d=--------------------------------

    f.  The columns are ------------------- lines and rows are-------------

    g.The  number of rows by the number of column of a matrix is             called the -------of a matrix

  h. A matrix having unequal number of rows and is called -------

 i. Contruct a matrix  of  order:     i)       ii)

                                           Group  'B'   8x2=16

 2. Find the distance between the points (2,3) and (5,7).

3  0(o,o) A(3,2) B(-3,2) are three points show that  oA=oB.

4. Find (A+B) ,If A= ,B= .

 5. Find the value of x and y if  = .

 6. Find the length of missing side of the given figure

                                                    

         

7.Factorise:

8.Simplify :   (SinA+cosA)²-sin²A

9. Prove  that sin²A-cos²A=2sin²A-1

                             

                                        Group 'c'           8x3=24

10  Prove that (1,3)  (1,2)  (3,2) and (3,3) are the vertices of rectangle.

11. If A is a point on Y-axis whose ordinate is 4 and B is a point (-3,1). Find the distance between AB.

12. Prove that the points (4,5)  (5,-2) and (1,1) are vertices of isosceles triangle.

13 If A=  ,B= find   4A-3B.

14. If A=  ,B=  Show that .

15. Prove that .

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                                                         THE END