Find the angle between the diagonals of the quadrilateral formed by the following points '(-3,-2)' and '(9,2),(17,11),(5,-3)'
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Answer:
Answer
Let L
1
:
a
x
+
b
y
=1
⇒ bx+ay=ab
L
2
:
a
x
+
b
y
=2
⇒ bx+ay=2ab
L
3
:
b
x
+
a
y
=1
ax+by=ab
L
4
:
b
x
+
a
y
=2
a+b
a
2
)=
a+b
a
2
+ab−a
2
=
a+b
ab
P(
a+b
ab
,
a+b
ab
)
Similarly by L
2
and L
4
(
a+b
2ab
,
a+b
2ab
)
For point Q, L
2
,L
3
we get following the same steps
x=
a
2
−b
2
ab(a−2b)
For S, by
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