Out of 100 students, 15 passed in English, 12 passed in Mathematics, 8 in Science, 4 in English and Science, 4 in all the three.Find how many students passed in  English and Mathematics but not in Science?

4

(a)

Two trees A and B are on the same side of a river. From a point C in the river the distance of trees A and B are 250m and 300m, respectively of the angle C is 45⁰, find the distance between the trees.[use \(\sqrt { 2 } =1.44\)]

4

(a)

Find the value of x and y, if \(\frac { \left( 1+i \right) x-2i }{ 3+i } +\frac { \left( 2-3i \right) y+i }{ 3-i } =i\)

4

(a)

The area of a triangle is 5 sq units and two of its vertices are (2,1) and (3,-2).If third vertex is (x,y), where  y=x+3, then find the coordinates of the third vertex.

4

(a)

A box contains 4 red, 5 white and 6 black balls.A person draws 4 balls from the box at random.Find the probability of selecting atleast one ball of each colour.

4

(a)