Question

Q12. Coordinates of the point P(x, y), where x, y > 0. If line segment OP is making angle of 45° with positive x-axis, then by what angle should OP be rotated so as to make x and y both negative? ​

Answer 1

Answer:

As we know OP is making angle of 45°

So we need to tilt it to bring it from 1st quadrant to 3rd quadrant (as asked in the question).

The y axis is making 180°.

So, 180°-45°=135°

And the 3rd quadrant lasts till 180°+90°(x' axis)= 270°

And now subtracting 270°- OP= 270°-45°-225°

So to make X and y negative it can be any angle between 135° and 225°.

Hence, 135°<(any angle)<225°.

Answer 2

Answer:

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