Question
The gradient of one of the line of ax2+2hxy+by2=0 is twice that of the other,show that 8h2=9ab
Answers
Steve
what do you mean by
one of the line of ax2+2hxy+by2=0
?? That is a conic section, unless it's degenerate. In that case, you have
(ax+c)(x+d)=0
ad+c = 2h
cd = b
Now work with the slopes of the lines, using the condition that one is twice the other.
one of the line of ax2+2hxy+by2=0
?? That is a conic section, unless it's degenerate. In that case, you have
(ax+c)(x+d)=0
ad+c = 2h
cd = b
Now work with the slopes of the lines, using the condition that one is twice the other.
Anonymous
Saani