(a, b),(h,o),(o, a) then prove that a/h+b/k
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6
Answer:
If the points A(h,0),B(a,b) and C(0,k) lie on line,
then,
Slope of AB=slope of BC
⇒
a−h
b−0
=
0−a
k−b
⇒
a−h
b
=
−a
k−b
⇒−ab=(k−b)(a−h)
⇒−ab=ka−kh−ab+bh
⇒ka+bh=kh
On dividing both sides by kh, we obtain
kh
ka
+
kh
bh
=
kh
kh
⇒
h
a
+
k
b
=1
#HAVE A NICE DAY
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