Tuesday 16 December 2014

Sample numerical on Section formula

Understand Section Formula with the help of a Numerical. Click on the link to Watch the VIDEO Explanation: Watch Video


Numerical
In what ratio does the point (five, four) divides the line segment joining the points (two, one) and (seven, six).
 Solution
Let P (five, four) divide the line segment AB in the ratio lambda is to one.
What is the formula that we need to apply to solve this problem. 
Click on the correct answer.
Yes you are right.
We need to apply the section formula.
The Section formula is given by P(x, y) is equal to (mx2 plus nx1 divided by m plus n, my2 plus ny1 divided by m plus n).
Here in this problem (x, y) is equal to (five, four)
m is to n is equal to lambda is to one.
(x1, y1) is equal to (two, one)
(x2, y2)is equal to (seven, six)
Substituting these values in the formula we get,
(five, four) is equal to (lambda into seven plus one into two divided by lambda plus one, lambda into six plus one into one divided by lambda plus one).
Equating the x coordinates, we get
Five is equal to seven lambda plus two divided by lambda plus one.
Solve for lambda by entering the correct values

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