Question

1)Find the modulus of the complex number √5+3i.
2)solve -12x > 30,when x is a natural number.
3)find the slope of the line 8x-4y+1=0
4)if AXB= {(1,x),(2,x),(3,x),(1,y),(2,y),(3,y)},find BXA.
5)Find the principal solutions of the equation tanx=√3

Answer 1

1. Modulus will be = sqrtwhole(5 + 9) = √14 ,

3. Slope = -a/b = -8/-4 = 2

5. Since , tanx = √3

tanx = tan(π/3)
x = π/3 , so pricipal value is π/3

Answer 2

1)  √( √5 ² + 3²) = √14
2)  x < -30/12 = -2.5  no such solution  if x = natural number
3)  y = 2 x - 1/4    =>    m = 2
4)   A or its subset = { 1, 2,3 }      B  or its subset  = {x , y}
      B into A is a relation which can possibly be:
           B X A = { (x, 1) , (x,2), (x,3), (y,1) (y,2) ,(y,3) }

5)  tan  x = √3    ie.,  x = π/3