Conti.......MODEL QUESTIONS FOR SA-1(MATHS)

Conti.......MODEL QUESTIONS FOR SA-1(MATHS)

          1.      State whether the given pair of linear equations are consistent or inconsistent:

a.      x + 2y = 4  and   3x - 7y =  9

b.      4x +  3y = 7 and  8x + 6y = 11

          2.      For a rectangle PQRS , D is a point on PQ such that SD makes an angle of 450 with PS.And                 PS= 15 cm, SR = 30 cm then find SD, PD and DQ.

          3. What will be the ratio of area of the triangles formed by joining mid points of the sides of the                   equilateral triangle? Prove it with the help of appropriate theorem.

          4.       Draw the graph of linear equations and find the area of region formed by

            The intersection of lines with X=0 line.

             X + Y = 8 and X- Y = 2    

           5.      Draw the graph of linear equations and find the area of the triangle   formed by them with Y-                    axis.

                  X + Y = 10 and X – Y = 4

           6.      PQR is a right angled triangle, and PRS is also a right angled triangle where 

                    Angle Q= angle R = 90⁰    , PQ = 6cm, QR= 8cm and RS= 5√5 cm  find PS.

           7.      PQR is a right angled triangle, and PRS is also a right angled triangle where Angle Q= angle                     R = 90⁰    then prove that PQ² + QR² +RS² = PS²

           8.      A Ladder is touches the window which is at the height 20feet from the ground. If the angle                 formed by the ladder with ground is  q , tanq= 4/3 ,find the length of the ladder , the distance of             the ladder from the building and value of q.

           9.      Prove that ratio of two similar triangles is equal to the square of the ratio of their altitudes.

          10.      Prove that ratio of two similar triangles is equal to the square of the ratio of their sides.

          11.       Solve the following pair of equations:

                    8/x-1    +   3/y-2    = 5     and    12/x-1  +    5/y-2   =  -2