Question

12. In what ratio is the line joining the points (-5, 1) and (2 , 3) divided by the y-axis?
Also, find the point of intersection .

Answer 1

line joining the points (-5, 1) and (2 , 3) divided by the y-axis in M : 1 ratio .
in y - axis , x = 0
we have to use section formula of x - axis.
e.g., x = (Mx₂ + x₁)/(M + 1)
0 = (M × 2 - 5)/(M + 1)
2M - 5 = 0
M = 5/2

Hence, the ratio is 5 : 2
now, y = (5 × 3 + 2 × 1)/(5 + 2)
= (15 + 2)/7
= 17/7
Hence, intersection point is (0, 17/7)

Answer 2

SOLUTION IS IN THE ATTACHMENT

Coordinate geometry is the branch of mathematics which deals with the position of an object lying in a plane.

Each point in cartesian plane has two coordinates X coordinate and Y coordinate.
The X coordinate is called the abscissa.
The Y coordinate is called the ordinate.

Coordinates X and Y taken together are called coordinates of a point. (x,y) is called an ordered pair.

SECTION FORMULA:
Coordinates of point are :
[(m1x2 + m2x1)/m1+m2 ,( m1y2 + m2y1)/m1+m2]

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