Angle of a line with the positive direction of the x-axis is `theta` . The line is rotated about some point on it in anticlockwise direction by angle `45^0` and its slope becomes `3.` Find the angle `thetadot`

The point (4, 1) undergoes the following three transformations successively: (a) Reflection about the line y = x (b) Translation through a distance 2 units along the positive direction of the x-axis. (c) Rotation through an angle pi/4 about the origin in the anti clockwise direction. The final position of the point is given by the co-ordinates.

What is the slope of a line whose inclination with positive direction of x-axis is 0^(@)

What is the slope of a line whose inclination with positive direction of x-axis is 90^(@)

If a line makes an angle of pi/4 with the positive direction of each of x-axis and y-axis, then the angel that the line makes with the positive direction of the z-axis is a. pi/3 b. pi/4 c. pi/2 d. pi/6

If a line joining two points (3,0) and (5,2) is rotated about the point (3,0) in counter clockwise direction through an angle 15^@ , Then find the equation of the line in the new position.

If line joining two points (3, 0 ) and (5,2) is rotated about the point (3,0) in counter clockwise direction through an angle 15^@ , then the equation of the line in the new position .

If a line makes angles 90^@,60^@ and 30^@ with the positive direction of x,y and z axis respectively. Find its directions cosines .

A vector vecOP makes 60^(@) each with positive direction of x and y axis then the angle between vecOP and z axis is:

If a point A(6,8) rotates through an angle 90^o about the origin in the anticlockwise direction ,find the new position of A.