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  1. A point R(h, k) divides a line segment between the axis in the ratio 1 : 2 what will be the equation of line ?
    1. x
      -
      2y
      = 4
      hk
    2. x
      +
      2y
      = 3
      hk
    3. x
      +
      y
      = 1
      kh
    4. x
      +
      y
      = 1
      2kh
Correct Option: B

Using internal section formula, we have

h =
1 × a + 2 × 0
1 + 2

⇒a = 3h
Similarly,
k =
1 × 0 + 2 × b
1 + 2

k =
2b
3

b =
3k
2

∴ Equation of line be
x
+
y
= 1
ab

x
+
2y
= 1
3h3k

x
+
2y
= 3
hk



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