Questions

4 Mark Question

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13 questions · self-marked practice — reveal the answer and mark yourself.

Question 14 Marks
Plot the given points on a graph sheet and check if they lie on a straight line. If not, name the shape they form when joined in the given order.
J(4, 3), K(6, 1), L(6, 5) and M(4, 7)
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Question 24 Marks
Plot the given points on a graph sheet and check if they lie on a straight line. If not, name the shape they form when joined in the given order.
L(2, 0), M(2, 3), N(0, 3) and O(0, 0)
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Question 34 Marks
Locate the points A (1, 2), B (4, 2) and C (1, 4) on a graph sheet taking suitable axes. Write the coordinates of the fourth point D in order to complete the rectangle ABCD.
Answer
Co-ordinates of D = (4, 4)
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Question 44 Marks
Plot the following points on a graph sheet. Verify that they lie on a line.
L(6, 2), M(5, 3), N(3, 5), and O(2, 6)
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Question 54 Marks
Plot the given points on a graph sheet and check if they lie on a straight line. If not, name the shape they form when joined in the given order.
A(0, 2), B(0, 3.5), C(0, 5) and D(0, 6)
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Question 64 Marks
Locate the points P(3, 4), Q(1, 0), R(0, 4) and S(4, 1) on a graph sheet and write the coordinates of the points of intersection of line segments PQ and RS.
Answer
From the graph, we can see that point of intersection of line segment PQ and RS is O(2.2, 2.3)
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Question 74 Marks
Plot the given points on a graph sheet and check if they lie on a straight line. If not, name the shape they form when joined in the given order.
P(1, 3), Q(1, 5), R(3, 3) and S(3, 5)
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Question 84 Marks
Plot the following points on a graph sheet. Verify that they lie on a line.
P(1, 1), Q(2, 2), R(3, 3), and S(4, 4)
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Question 94 Marks
Plot the points A(2, 4) and B(4, 2) on a graph sheet and draw a line passing through these two points. Extend the line on both sides to meet the coordinate axes. What are the coordinates of the points where this line meets the x-axis and the y-axis?
Answer

From the graph, we can see that after extending line AB, it cuts x-axis at P(6,0) and y-axis at Q(0,6).
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Question 104 Marks
Plot the following points on a graph sheet. Verify that they lie on a line.
A(4, 0), B(4, 2), C(4, 2.5), and D(4, 6)
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Question 114 Marks
Plot the given points on a graph sheet and check if they lie on a straight line. If not, name the shape they form when joined in the given order.
E(4, 5), F(5, 5), G(5, 7) and H(6, 5)
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Question 124 Marks
Locate the points A(1, 2), B(3, 4) and C(5, 2) on a graph sheet taking suitable axes. Write the coordinates of the fourth point D in order to complete the rhombus ABCD. Measure the diagonals of this rhombus and check whether they are equal or not.
Answer

Co-ordinates of D = (3, 0)
Distance AC = 4 unit.
Distance BD = 4 unit.
Hence, we can see that diagonals of the given rhombus are of equal length i.e, 4 units.
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Question 134 Marks
On a graph paper, plot each of the following points:
  1. A(4, 3)
  2. B(-2, 5)
  3. C(0, 4)
  4. D(7, 0)
  5. E(-3, -5)
  6. F(5, -3)
  7. G(-5, -5)
  8. H(0, 0)
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