If a vector A is multiplied by a real number (say n), the vector of same nature is obtained but its magnitude is n times that of A.
Here, the given equation of parabola is y2= 8x.
The equation of tangent to the parabola y2=8x is,
y= mx + 2/m
This tangent passes through the point (-2, 3)
So, 3 = -2m + 2/m
or, 3m + 2m2 = 2
or, 2m2+3m - 2= 0
or, 2m2 + (4 - 1)m -2 = 0
or, 2m2 + 4m - m - 2 = 0
or, 2m(m + 2) - 1(m+2) = 0
or, (m + 2) (2m - 1) = 0
Either, Or,
m = -2 m = 1/2
Required angle is,

Matter is anything that possesses mass, occupies space and may be perceived through one or more senses.
The physical divisions of matter are:
1. Solid : Solid matter is composed of tightly packed particles. A solid will retain its shape; the particles are not free to move around.
2. Liquid : Liquid matter is made of more loosely packed particles. It will take the shape of its container. Particles can...
