हिंदी

Consider the Given Population and Year Graph. Find the Slope of the Line Ab and Using It, Find What Will Be the Population in the Year 2010?

Advertisements
Advertisements

प्रश्न

Consider the given population and year graph. Find the slope of the line AB and using it, find what will be the population in the year 2010?

Advertisements

उत्तर

Since line AB passes through points A (1985, 92) and B (1995, 97), its slope is

Let y be the population in the year 2010. Then, according to the given graph, line AB must pass through point C (2010, y).

∴Slope of AB = Slope of BC

Thus, the slope of line AB is 1/2 , while in the year 2010, the population will be 104.5 crores

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Draw a quadrilateral in the Cartesian plane, whose vertices are (–4, 5), (0, 7), (5, –5) and (–4, –2). Also, find its area.


The base of an equilateral triangle with side 2a lies along they y-axis such that the mid point of the base is at the origin. Find vertices of the triangle.


Find the slope of a line, which passes through the origin, and the mid-point of the line segment joining the points P (0, –4) and B (8, 0).


Without using distance formula, show that points (–2, –1), (4, 0), (3, 3) and (–3, 2) are vertices of a parallelogram.


If three point (h, 0), (a, b) and (0, k) lie on a line, show that `q/h + b/k = 1`


Find the slope of the lines which make the following angle with the positive direction of x-axis:

\[\frac{2\pi}{3}\]


Find the slope of the lines which make the following angle with the positive direction of x-axis: 

\[\frac{3\pi}{4}\]


Find the slope of a line passing through the following point:

 (−3, 2) and (1, 4)


Show that the line joining (2, −5) and (−2, 5) is perpendicular to the line joining (6, 3) and (1, 1).


Without using Pythagoras theorem, show that the points A (0, 4), B (1, 2) and C (3, 3) are the vertices of a right angled triangle.


The slope of a line is double of the slope of another line. If tangents of the angle between them is \[\frac{1}{3}\],find the slopes of the other line.


Without using the distance formula, show that points (−2, −1), (4, 0), (3, 3) and (−3, 2) are the vertices of a parallelogram.


A quadrilateral has vertices (4, 1), (1, 7), (−6, 0) and (−1, −9). Show that the mid-points of the sides of this quadrilateral form a parallelogram.


Find the equation of a straight line with slope 2 and y-intercept 3 .


Find the equation of a straight line  with slope − 1/3 and y-intercept − 4.


Find the equations of the bisectors of the angles between the coordinate axes.


Show that the perpendicular bisectors of the sides of a triangle are concurrent.


Find the equation of the right bisector of the line segment joining the points (3, 4) and (−1, 2).


Show that the tangent of an angle between the lines \[\frac{x}{a} + \frac{y}{b} = 1 \text { and } \frac{x}{a} - \frac{y}{b} = 1\text {  is } \frac{2ab}{a^2 - b^2}\].


Write the coordinates of the image of the point (3, 8) in the line x + 3y − 7 = 0.


The coordinates of the foot of the perpendicular from the point (2, 3) on the line x + y − 11 = 0 are


Find k, if the slope of one of the lines given by kx2 + 8xy + y2 = 0 exceeds the slope of the other by 6.


If the slopes of the lines given by the equation ax2 + 2hxy + by2 = 0 are in the ratio 5 : 3, then the ratio h2 : ab = ______.


Point of the curve y2 = 3(x – 2) at which the normal is parallel to the line 2y + 4x + 5 = 0 is ______.


The line passing through (– 2, 0) and (1, 3) makes an angle of ______ with X-axis.


Find the equation of the straight line passing through (1, 2) and perpendicular to the line x + y + 7 = 0.


The reflection of the point (4, – 13) about the line 5x + y + 6 = 0 is ______.


Find the equation of a straight line on which length of perpendicular from the origin is four units and the line makes an angle of 120° with the positive direction of x-axis.


Find the equation of one of the sides of an isosceles right angled triangle whose hypotenuse is given by 3x + 4y = 4 and the opposite vertex of the hypotenuse is (2, 2).


P1, P2 are points on either of the two lines `- sqrt(3) |x|` = 2 at a distance of 5 units from their point of intersection. Find the coordinates of the foot of perpendiculars drawn from P1, P2 on the bisector of the angle between the given lines.


The equation of the straight line passing through the point (3, 2) and perpendicular to the line y = x is ______.


Equation of the line passing through (1, 2) and parallel to the line y = 3x – 1 is ______.


Equations of the lines through the point (3, 2) and making an angle of 45° with the line x – 2y = 3 are ______.


If the vertices of a triangle have integral coordinates, then the triangle can not be equilateral.


The points A(– 2, 1), B(0, 5), C(– 1, 2) are collinear.


If the line joining two points A (2, 0) and B (3, 1) is rotated about A in anticlockwise direction through an angle of 15°, then the equation of the line in new position is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×