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If a point N(a, b) divides the line segment joining the points (0, 0) and (5, 5) internally in the ratio 2 : 3, then the value of b is
  • a)
    1
  • b)
    2
  • c)
    3
  • d)
    4
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If a point N(a, b) divides the line segment joining the points (0, 0)...
Point N(a, b) divides points (0, 0) and (5, 5) in the ratio 2 : 3.
i.e. b = 2
Free Test
Community Answer
If a point N(a, b) divides the line segment joining the points (0, 0)...
Given:
Point N(a, b) divides the line segment joining the points (0, 0) and (5, 5) internally in the ratio 2 : 3.

Formula:
The coordinates of the point dividing the line segment joining the points (x1, y1) and (x2, y2) internally in the ratio m : n is given by:
((mx2 + nx1) / (m + n), (my2 + ny1) / (m + n))

Calculation:
Given points: A(0, 0) and B(5, 5)
Ratio: 2 : 3
Let N(a, b) be the dividing point.
Using the formula, we get:
a = ((2*5 + 3*0) / (2 + 3)) = 10 / 5 = 2
b = ((2*5 + 3*0) / (2 + 3)) = 10 / 5 = 2
Therefore, the value of b is 2.
Thus, the correct answer is option B.
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