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India
Class X

Division of an interval in a given ratio

Interactive practice questions

Point $P$P divides the interval joining the points $\left(x_1,y_1\right)$(x1,y1) and $\left(x_2,y_2\right)$(x2,y2) in the ratio $m:n$m:n. Which of the following formulas gives the $x$x-coordinate of point $P$P?

$\frac{-mx_2+nx_1}{m+n}$mx2+nx1m+n

A

$\frac{mx_1+nx_2}{m+n}$mx1+nx2m+n

B

$\frac{mx_2+nx_1}{m+n}$mx2+nx1m+n

C

$\frac{mx_1-nx_2}{m+n}$mx1nx2m+n

D
Easy
< 1min

Point $P$P divides the interval joining the points $\left(x_1,y_1\right)$(x1,y1) and $\left(x_2,y_2\right)$(x2,y2) in the ratio $m:n$m:n. Which of the following formulas gives the $y$y-coordinate of point $P$P?

Easy
< 1min

When the point $P$P divides the interval $AB$AB internally, is the ratio $m$m:$n$n (that is used in calculations) positive or negative?

Easy
< 1min

When the point $P$P divides the interval $AB$AB externally, is the ratio $m$m:$n$n positive or negative?

Easy
< 1min
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Outcomes

10.CG.L.1

Review the concepts of coordinate geometry done earlier including graphs of linear equations. Awareness of geometrical representation of quadratic polynomials. Distance between two points and section formula (internal). Area of a triangle.

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