Linear Graphs

IMPORTANT

Linear Graphs: Overview

This topic covers concepts, such as, Area of Polygon, Independent Variable, y - Coordinate of a Point in Coordinate System in 2D & Plotting Points in Coordinate System in 2D etc.

Important Questions on Linear Graphs

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IMPORTANT

Which of the following points lie on negative side of x-axis?

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Explain on which side of y-axis the point 0,2 lies?   

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Explain on which side of y-axis the point 0,-3 lies?   

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Locate a point 3,5 in the Cartesian Plane which lies on the positive side of the y-axis.

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Locate a point 2,4 in the Cartesian Plane which lies on the positive side of the x-axis.

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4,0 lies on _____.

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State whether the following statement is true or false:

Point -6,7 lies on positive sides of x-axis.

MEDIUM
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Find the area (in sq. unit) of the pentagon on the graph paper 3,4,5,7,8,6,4,0, 7,0

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Identify the polygon obtained by joining the points on the graph paper

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The polygon obtained by joining the points on the graph paper is a quadrilateral

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Find the area sq. unit of the quadrilateral on the graph paper 3,4,5,7,8,6,6,0

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Question Image

Identify the polygon by joining the points on the graph paper

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The graph given alongside shows the relation between pounds and kilograms.

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A bag of rice weighs 15 kg. According to the graph, if its weight is k pounds, find k.

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Given, x=40-18y and y=6. What is the value of x?

HARD
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An over-head tank is full of water. Water leaks out from it, at a constant rate of 10 litres per hour. Draw a “time-wastage” graph for this situation and find the time at which 75 litres of water is wasted.

HARD
IMPORTANT

The following is a table of values connecting the radii of a few circles and their circumferences. (Taking π=227)

Illustrate the relation with a graph and find the circumference when the radius is 24.5 units.

Radius (r) Circumference
(2πr)
7 2×227×7=44
14 2×227×14=88
21 2×227×21=132
28 2×227×28=176
35 2×227×35=220
42 2×227×42=264
49 2×227×49=308

MEDIUM
IMPORTANT

The circumference of the circle changes according to the radius, then _____ is the dependent variable.

MEDIUM
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The following table gives the quantity of petrol and its cost.

No. of Litres of petrol 10 15 20 25
Cost of petrol in Rs 500 750 1000 1250

The quantity of petrol is dependent variable.

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Plot the point A(4,6). From point A, Draw AM perpendicular to x-axis and AN perpendicular to y-axis. Write the coordinates of M and N.

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IMPORTANT

Which of the following point lie on the negative side of y− axis ?