Question

In the given figure ABC is a triangle and BC is parallel to the y-axis. AB and AC intersects the y-axis at P and Q respectively.

(i) Write the coordinates of A. 

(ii) Find the length of AB and AC. 

(iii) Find the ratio in which Q divides AC. 

(iv) Find the equation of the line AC.

Answer 1

(i) Coordinates of A (4,0)

(ii) Coordinates of A (4,0) and B (-2,3)

(iv) Equation of AC 

Coordinates of A(4, 0) and C(-2, -4)

y - 0 = (0 + 4/4 + 2)(x - 4)

3y = 2x – 8 

2x – 3y – 8 = 0