'A' starts from origin and travels `1` unit distance along positive `x`-axis to reach P. From there he travels `2` unit parallel to `y`- axis to reach `Q` . Then the travels `3` unit distance parallel to `y=x` and away from origin to reach "R" .Then he rotates about `O` in anticlockwise direction so as to reach `y`-axis at `S` .If the co-ordinates of `S` are `(0,S)` then `sqrt(2)(S^(2)-14)` would be equal to

A person walks 2sqrt(2) units away from origin in south west direction (S45^(@)W) to reach A , then walks sqrt(2) units in south east direction (S45^(@)E) to reach B . From B he travel is 4 units horizontally towards east to reach C . Then he travels along a circular path with centre at origin through an angle of 2pi//3 in anti-clockwise direction to reach his destination D . Position of D in argand plane is ( w is an imaginary cube root of unity)

A person walks 2sqrt(2) units away from origin in south west direction (S45^(@)W) to reach A , then walks sqrt(2) units in south east direction (S45^(@)E) to reach B . From B he travel is 4 units horizontally towards east to reach C . Then he travels along a circular path with centre at origin through an angle of 2pi//3 in anti-clockwise direction to reach his destination D . Let the complex number Z represents C in argand plane. then arg(Z)=

The coordinates of a point at a distance of 3 units from the x axis and 6 units from the y axis is

A person starts from a point A and travels 3 km eastwards to B and then turns left and travels thrice that distance to reach C. He again turns left and travels five times the distance he covered between A and B reaches his destination D. The shortest distance between the starting point and the destination is

A person travels a certain distance at 3km/h and reaches 15min late.If he travels at 4km/h,he reaches 15 min earlier. The distance he has to travel is

An electric dipole is placed at the origin O and is directed along the x -axis. At a point P , far away from the dipole, the electric field is parallel to y -axis. OP makes an angle theta with the x -axis then

Find the points where the graph of x+y=4 meets line which is (i) parallel to x axis at 3 units from origin in positive direction of y axis (ii) parallel to y axis at 2 units on left of origin

The distance of a point P from the positive X axis and positive Y axis are 3 units and 5 units , respectively . Find the coordinates of P.