Question

Find the area of the triangle formed by the points O (0, 0), A (a, 0) and B (0, h). 5. AB is the diameter of a circle whose centre is (2, -3). If the co-ordinates of B are (1, 4

Answer 1

Step-by-step explanation:

If

ax2+2hxy+by2+2gx+2fy+c=0,

represents a pair of lines, show that the square of the distance from origin to their point of intersection is

c(a+b)−f2−g2ab−h2.

My attempts; since the given equation represents a pair of straight lines, let each be

l1x+m1y+n1=0

and

l2x+m2y+n2=0.

Now comparing the combined equation of these two lines with the given equation I got:

l1l2=a

m1m2=b

n1n2=c

l1m2+l2m1=2h

l1n2+l2n1=2g

m1n2+m2n1=2f.

Now how should I complete?