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Byju's Answer
Standard VI
Mathematics
Collinear Points
If the points...
Question
If the points
(
p
,
0
)
,
(
0
,
q
)
a
n
d
(
1
,
1
)
a
r
e
c
o
l
l
i
n
e
a
r
t
h
e
n
1
p
+
1
q
i
s
e
q
u
a
l
t
o
A
−
1
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B
1
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C
2
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D
0
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Solution
The correct option is
B
1
Given points
(
p
,
0
)
,
(
0
,
q
)
and
(
1
,
1
)
are collinear
then ,the slope of line formed by these points shoul be equal
⟹
1
−
q
1
−
0
=
q
−
0
0
−
p
⟹
−
p
(
1
−
q
)
=
q
−
p
+
p
q
=
q
⟹
p
+
q
=
p
q
Divide by
p
q
1
p
+
1
q
=
p
q
p
q
1
p
+
1
q
=
1
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0
Similar questions
Q.
Find the vector equation of the plane passing through points A (a, 0, 0), B (0, b, 0) and C (0, 0, c). Reduce it to normal form. If plane ABC is at a distance p from the origin, prove that
1
p
2
=
1
a
2
+
1
b
2
+
1
c
2
.