- Rational and Irrational Numbers
- Compound Interest
- Expansions
- Factorization
- Simultaneous Linear Equations
- Problems on Simultaneous Linear Equations
- Quadratic Equations
- Indices
- Logarithms
- Triangles
- Mid Point Theorem
- Pythagoras Theorem
- Rectilinear Figures
- Theorems on Area
- Circle
- Mensuration
- Trigonometric Ratios
- Trigonometric Ratios and Standard Angles
- Coordinate Geometry
- Statistics
ML Aggarwal Solutions Class 9 Mathematics Solutions for Coordinate Geometry Exercise 19.3 in Chapter 19 - Coordinate Geometry
Prev
. Find graphically the co-ordinates of the vertices of the triangle formed by the lines y = 0, y = x and 2x +
3y= 10. Hence find the area of the triangle formed by these lines.
y = 0 ..(i)
The graph of y = 0 is the X axis.
y = x ..(ii)
When x = 1, y = 1.
When x = 2, y = 2.
When x = 3, y = 3.
2x+3y = 10 ..(iii)
3y = 10-2x
y = (10-2x)/3
When x = 0.5, y = (10-2×0.5)/3 = (10-1)/3 = 9/3 = 3
When x = 2, y = (10-2×2)/3 = (10-4)/3 = 6/3 = 2
When x = 5, y = (10-2×5)/3 = (10-10)/3 = 0
From the graph, it is clear that the vertices of the triangle formed by the lines are A(2,2), B(5,0) and C(0,0).
Area of triangle formed by these lines = ½ ×base×height
= ½ ×5×2
= 5 sq. units
Hence area of the triangle is 5 sq. units.
Lido
Courses
Quick Links
Terms & Policies
Terms & Policies
