Question

The coordinates of the point at a distance $4\sqrt{2}$ units from the point (-2, 3) in the direction making an angle of ${45}^o$ with the positive direction of x-axis are

• A. $(2,7)$and $(-2,-1)$
• B. $(2,-7)$ and $(2,-1)$
• C. $(2,-7)$ and $(-2,-1)$
• D. None of these

Answer 1

The correct option is A $(2,7)$and $(-2,-1)$

Applying parametric equation

$(-2+4\sqrt{2}\cos {45}^0,3+4\sqrt{2}\sin {45}^0)=(-2+4,3+4)=(2,7)and(-2+4\sqrt{2}\cos {-45}^0,3+4\sqrt{2}\sin -{45}^0)=(-2+4,3-4)=(2,-1)$