Coordinate Geometry — Question Ex 7.4 Q7
Back to all questionsLet A(4, 2), B(6,5) and C(1, 4) be the vertices of ∆ABC.
(i) The median from A meters BC at D. Find the coordinates of the point D.
(ii) Find the coordinates of the point P on the AD, such that AP: PD = 2: 1.
(iii) Find the coordinates of points Q and R on medians BE and CF respectively, such that BQ: QE = 2: 1 and CR: RF = 2: 1.
(iv) What do you observe?
[Note: The points which are common to all the three medians is called centroid and this point divides each median in the ratio 2: 1]
(v) If A(x1, y1), B(x2, y2) and C(x3, y3) are the vertices of ∆ABC, find the coordinates of the centroid of the triangles.
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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