Question 1 :
The perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0) is :
Question 2 :
Find the coordinates of the point which divides the line segment joining the points $\left(4, – 3\right)$ and $\left(8, 5\right)$ in the ratio 3 : 1 internally.
Question 3 :
Find the values of k if the points A (k + 1, 2k), B (3k, 2k + 3) and C (5k – 1, 5k) are collinear.
Question 4 :
Find the value of m if the points (5, 1), (–2, –3) and (8, 2m) are collinear.
Question 5 :
Name the type of quadrilateral formed, if any, by the following points (-3,5) , (3,1) , (0,3) , (-1,-4).
Question 6 :
∆ ABC with vertices A (–2, 0), B (2, 0) and C (0, 2) is similar to ∆ DEF with vertices D (–4, 0) E (4, 0) and F (0, 4). State true or false.
Question 7 :
Find the coordinates of the point of division in which the line segment joining A $\left(1, – 5\right)$ and B $\left(- 4, 5\right)$ is divided by the x-axis in the ratio 1:1.
Question 8 :
What is the relation between x and y such that the point $\left(x , y\right)$ is equidistant from the points $\left(7, 1\right)$ and $\left(3, 5\right)$?
Question 9 :
The points A (–1, –2), B (4, 3), C (2, 5) and D (–3, 0) in that order form a rectangle. State true or false.
Question 10 :
The vertices of a ∆ABC are A $\left(4, 6\right)$, B $\left(1, 5\right)$ and C $\left(7, 2\right)$. A line is drawn to intersect sides AB and AC at D and E respectively, such that $\frac{AD}{AB}$=$\frac{AE}{AC}$=$\frac{1}{4}$. Calculate the area of triangle ADE.
