Geometry

Miscellaneous

Easy

Find the coordinates of the point which divides the line segment joining the points (4,-1) and (-2,-3) in the ratio 2 : 3 internally.

$(\frac{3}{5}, \frac{8}{5})$

$(\frac{8}{5}, \frac{3}{5})$

$(\frac{8}{5}, \frac{9}{5})$

$(\frac{8}{5}, \frac{-9}{5})$

✅ Correct Option: 4

Using the section formula with $m:n=2:3$ :

$x=\frac{2(-2)+3(4)}{5}=\frac{8}{5}$ and $y=\frac{2(-3)+3(-1)}{5}=\frac{-9}{5}$ .

The dividing point is $\left(\frac{8}{5},\frac{-9}{5}\right)$ .

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The total area of figure is

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The perimeter of the figure is:

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What will be the equation of the line, which makes intercepts -5 on x-axis and -6 on the y-axis.

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An angle is $\frac{3}{7}$ times its supplementary angles. Find the angle.

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The number of diagonals in a Hexagon is:

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If A is area of regular hexagon of side 2 cm, then value of 3A (in cm $^2$ ), is:

Solution