Last seen: Jun 14, 2021
Let (x, y), (1, 2) and (7, 0) are vertices of a triangle, Area of a triangle = 1/2 × [x1(y2 – y3) + x2(y3 – y1) + x3(y1 – y2)] = 0 [x(2 – 0) + 1 (...
Consider line 2x + y – 4 = 0 divides line AB joined by the two points A(2, -2) and B(3, 7) in k : 1 ratio. x = (2 + 3k)/(k + 1) and y = (-2 + 7k)/(k...
Let the vertices of the triangle be A (4, -6), B (3, -2), and C (5, 2). 20q.png Let D be the mid-point of side BC of ΔABC. Therefore, AD is the m...
Let the vertices of the quadrilateral be A (- 4, – 2), B (- 3, -5), C (3, – 2), and D (2, 3). Join AC and divide the quadrilateral into two triangle...
Let the vertices of the triangle be A (0, -1), B (2, 1), C (0, 3). Let D, E, F be the mid-points of the sides of this triangle. Coordinates of D, ...
(i) For collinear points, area of triangle formed by them is always zero. Let points (7, -2) (5, 1), and (3, k) are vertices of a triangle. Area o...
Area of a triangle formula = 1/2 × [x1(y2 – y3) + x2(y3 – y1) + x3(y1 – y2)] (i) x1 = 2, x2 = -1, x3 = 2, y1 = 3, y2 = 0 and y3 = -4 Substitute al...
Let A(3, 0), B (4, 5), C(-1, 4) and D (-2, -1) are the vertices of a rhombus ABCD. 20q.png Length of diagonal AC = = = Length of diago...
20q.png From the figure, it can be observed that points X, Y, Z are dividing the line segment in a ratio 1 : 3, 1:1, 3:1 respectively. Coordinate ...
The coordinates of point A and B are (-2,-2) and (2,-4) respectively. Since AP = 3/7 AB 20q.png Therefore, AP: PB = 3 : 4 Point P divides the...
A population pyramid is a pictorial way to describe the population composition. An age-sex pyramid gives information about the distribution of differe...
Factors affecting the population change in a region are birth rate, death rate, and migrations. The birth rate is a statistic that measures the number...
The world population grew steadily initially. It reached a billion in the year 1820. But the next two billion were added in just a hundred and fifty y...
Topography, favourable climate, the fertility of soils, availability of freshwater, minerals are major geographical factors affecting the population d...
A country with a large population in a small area is more densely populated out of the two.
An age-sex pyramid is a graph showing the number of males and females under certain defined age groups.
Generally, people migrate from less developed countries to more developed ones. This is done for better employment opportunities and other facilities.
Life expectancy is the number of years an average person can expect to live, based on data.
People prefer to live in regions with a moderate climate, and not places of the extreme cold and hot climate. So moderate climate regions are densely ...
The population density of the world is around 45 persons per sq km, whereas that of India is over 320 persons per sq km.