Coordinate Geometry — Question Ex 7.4 Q5
Back to all questionsThe class X students school in krishnagar have been allotted a rectangular plot of land for their gardening activity. Saplings of Gulmohar are planted on the boundary at a distance of 1 m from each other. There is triangular grassy lawn in the plot as shown in the figure. The students are to sow seeds of flowering plants on the remaining area of the plot.
(i) Taking A as origin, find the coordinates of the vertices of the triangle.
(ii) What will be the coordinates of the vertices of ∆PQR, if C is the origin?
Also, calculate the areas of the triangles in these cases. What do you observe?
CBSE Class 10 Coordinate Geometry — Complete Guide
Coordinate Geometry is a formula-based scoring chapter worth 6 marks. All questions are direct formula applications.
Quick Revision: Key Formulae
- Distance: d = √[(x2−x1)² + (y2−y1)²]
- Section: P = [(mx2+nx1)/(m+n), (my2+ny1)/(m+n)]
- Midpoint: M = [(x1+x2)/2, (y1+y2)/2]
- Area: ½|x1(y2−y3) + x2(y3−y1) + x3(y1−y2)|
- Collinear: Area = 0
Most Important Questions
- Find distance between two points
- Find ratio in which a point divides a line segment
- Find area of triangle given vertices
- Prove collinearity using area formula
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