### Graphs Class 8th Mathematics Term 2 Tamilnadu Board Solution

##### Question 1.Draw a linear graph for the following data. Answer:When x = 5, y = 1 consider it as point A with co-ordinates (5, 1)When x = 5, y = 2 consider it as point B with co-ordinates (5, 2)When x = 5, y = 3 consider it as point C with co-ordinates (5, 3)When x = 5, y = 4 consider it as point D with co-ordinates (5,4)When x = 5, y = 5 consider it as point E with co-ordinates (5, 5)When x = 5, y = 6 consider it as point F with co-ordinates (5, 6)Plot the points A, B, C, D, E and F and join them to get the required linear graph Question 2.Draw a linear graph for the following data. Answer:When x = 1, y = 1 consider it as point A with co-ordinates (1, 1)When x = 2, y = 2 consider it as point B with co-ordinates (2, 2)When x = 3, y = 3 consider it as point C with co-ordinates (3, 3)When x = 4, y = 4 consider it as point D with co-ordinates (4,4)When x = 5, y = 5 consider it as point E with co-ordinates (5, 5)Plot the points A, B, C, D, E and F and join them to get the required linear graph Question 3.Draw the linear graph and find the missing entries. Answer:Consider the missing entries as a, b and c as follows As given the graph is linear i.e. it would be straight lineWhen x = 1, y = 6 consider it as point A with co-ordinates (1, 6)When x = 2, y = 12 consider it as point B with co-ordinates (2,12)Plot points A and B and draw a straight line passing through it When x = 3, y = a consider it as point C with co-ordinates (3, a)But from graph point C has co-ordinates (3,18)⇒ a = 18When x = 4, y = b consider it as point D with co-ordinates (4, d)But from graph point D has co-ordinates (4, 24)⇒ b = 24When x = c, y = 30 consider it as point E with co-ordinates (c, 30)But from graph point C has co-ordinates (5,30)⇒ c = 30 Question 4.Draw the following graph of side–area relationship of a square. Answer:Consider size as x co-ordinate and area as y co-ordinateWhen x = 2, y = 4 consider it as point A with co-ordinates (2, 4)When x = 3, y = 9 consider it as point B with co-ordinates (3, 9)When x = 4, y = 16 consider it as point C with co-ordinates (4, 16)When x = 5, y = 25 consider it as point D with co-ordinates (5,25)When x = 6, y = 36 consider it as point E with co-ordinates (6,36)Plot points A, B, C, D and E and join them to get the required graph Question 5.Draw the graph of y = 7x.Answer:y = 7x is a linear equation therefore its graph would be a straight linenow to draw a straight line we require atleast two pointsconsider any value of x and put it in y = 7x to get corresponding value of ylet x = 0 after putting x = 0 in y = 7x we get y = 0 consider this point as A with co-ordinates (0, 0)let x = 1 after putting x = 1 in y = 7x we get y = 7 consider this point as B with co-ordinates (1, 7)plot points A and B and draw a line passing through them, we get graph of y = 7x Question 6.If Akbar is driving a car at a uniform speed of 40 km/hr. Draw the distance time graph. Also find the time taken by Akbar to cover a distance of 200 km.Answer:Seed is uniform i.e. 40 km/hrWhich means Akbar covers 40 km distance in 1 hourUsing speed = So, in two hours Akbar will travel 40 × 2 = 80 km distanceLet ‘a’ be the time required to cover 200 km⇒ 40 = ⇒ a = ⇒ a = 5 hoursRepresenting in tabular form Consider time on X-axis and distance on Y-axisConsider point A with co-ordinates (1, 40) and point B with co-ordinates (2, 80)Plot points A and B and draw a line passing through them is the required graphScale:On X-axis 1 cm = 1 hourOn Y-axis 1 cm = 10 km Question 7.Eliza deposited ₹ 20,000 in a bank at the rate of 10% per annum. Draw a linear graph showing the time and simple interest relationship. Also, find the simple interest for 4 years.Answer:Principal amount = P = 20,000 rsRate = r = 10%Time = tSimple interest = I = ⇒ I = ⇒ I = 2000t …(i)Simple interest for 4 years implies t = 4Put t = 4 in equation (i)⇒ I = 2000 × 4⇒ I = 8000 rsConsider equation (i)Linear graph means a straight lineNow to draw a straight line we need atleast two pointsConsider t time on X-axis and I simple interest on Y-axisTake any two values of t and find corresponding values of IIf t = 1 implies I = 2000 × 1 = 2000Consider this as a point A with co-ordinates (1, 2000)If t = 2 implies I = 2000 × 2 = 4000Consider this as a point B with co-ordinates (1, 4000)Plot points A and B and draw a line passing through themScale for graphOn X-axis 1cm = 1 yearOn Y-axis 1 cm = 1000rs PDF FILE TO YOUR EMAIL IMMEDIATELY PURCHASE NOTES & PAPER SOLUTION. @ Rs. 50/- each (GST extra)

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# 2019 Board Paper Solution

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