Section Formula MCQs Class X ICSE Mathematics

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You are already familiar with the idea of rectangular co-ordinates

where two perpendicular intersecting lines called axes are used as reference lines

for locating points in a plane.

Rectangular co-ordinates are ordered pairs in which the first element is called the abscissa

and the second element is called the ordinate.

Section Formula :

It is used to find the co-ordinates of a point

that divides the line segment joining two given points in a given ratio.

Let  P (x_{1},y_{1})  and Q (x_{2},y_{2}) be two given points in the coordinate plane, and

R (x,y) be the point which divides PQ (internally ) in the given rato m\, :\, n

The co-ordinates of R are  (\frac{mx_{2}+nx_{1}}{m+n}\, ,\, \frac{my_{2}+ny_{1}}{m+n})

Mid-point Formula:

Let P (x_{1},y_{1}) and Q (x_{2},y_{2})   be the two given points

and R (x,y) be the mid-point of the line segment PQ, then

the co-ordinates of R are  (\frac{x_{1}+x_{2}}{2}\, ,\, \frac{y_{1}+y_{2}}{2})

In a problem where it is required to find the ratio

when a given point divides the line segment joining two given points,

it is convenient to take the ratio as k\, :\, 1

Section formula becomes  (\frac{kx_{2}+x_{1}}{k+1}\, ,\, \frac{ky_{2}+y_{1}}{k+1})

Click here for MCQs of Section Formula Class X ICSE Mathematics

ICSE – Class 10  -Mathematics   –     Sem 2  –    2022 – Sample Paper

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