Question types

Coordinate System & Linear Graphs question types

46 questions across 5 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

46
Questions
5
Question groups
5
Question types
Sample Questions

Coordinate System & Linear Graphs questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

The coordinates of three of the vertices of a rectangle are $(2,-5),(7,-5)$ and $(7,-2)$. Plot these points on a graph paper. Complete the rectangle and find the coordinates of the fourth vertex.
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Q 11[3 marks sum]3 Marks
Draw the distance (d) vs time (t) graph for an object moving at a speed of 5 metres per second. Read the graph carefully and answer the following questions :
(i) Find the distance covered in 3 seconds.
(ii) Find the distance covered in 5 seconds.
(iii) Find the time in which the body covered 30 metres.
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Q 13[3 marks sum]3 Marks
Draw the graph of perimeter (P) of a square vs the length of its side (a). From the graph, find the value of P, when :
(i) a = 2.5
(ii) a = 5
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Q 14[3 marks sum]3 Marks
Calculate the simple interest on a principal sum of ₹5000 lent out at a rate of 5% p.a. for a period of 1 year, 2 years, 3 years and 4 years. Plot the corresponding values on a graph paper and obtain a graph for the same
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Q 15[3 marks sum]3 Marks
Calculate the semi-perimeter (s) of equilateral triangles with sides measuring 2 cm, 3 cm, 4 cm and 5 cm respectively. Draw a graph depicting the semi-perimeter as a function of the length of the side of the equilateral triangle.
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Q 17[4 marks sum]4 Marks
In the following figure, find the coordinates of the points that represent :
(i) the vertices of the end points of the line segment AB.
(ii) the centre C of the circle.
(iii) the vertices of the triangle PQR
(iv) the vertices of the parallelogram KLMN.
Image
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Q 18MCQ1 Mark
The equation of a line parallel to x-axis at a distance of 9 units and above x-axis, is
  • A
    x = 9
  • y = 9
  • C
    x = 9y
  • D
    y = 9x

Answer: B.

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Q 19MCQ1 Mark
The equation of a line parallel to y-axis and at a distance of 3 units to the left of y-axis, is
  • A
    y = -3
  • x = -3
  • C
    x + 3y = 0
  • D
    y + 3x = 0

Answer: B.

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Q 20MCQ1 Mark
The equation of a line parallel to y-axis and at a distance of 4 units to the right of y-axis, is
  • x = 4
  • B
    y = 4
  • C
    x = 4y
  • D
    y = 4x

Answer: A.

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Q 22MCQ1 Mark
The co-ordinates of a point below x-axis at a distance of 4 units from x-axis but lying on y-axis is
  • A
    (0, 4)
  • B
    (-4, 0)
  • (0, -4)
  • D
    (4, -4)

Answer: C.

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