Duration: 1:20 minutes
Instructions:
Answer all the questions in this paper
Write your final answers in the spaces provided
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Question 1 of 5
1. Question
(a) Find the distance between A (7, 13) and B (2, 1) [3]
(b) find the equation of the line between A (7, 13) and B (2, 1) [3]
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(a) Distance =
(b) y =
Correct 6 / 6 PointsIncorrect / 6 Points -
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Question 2 of 5
2. Question
Find the equations of the line through the point (3, 2) which is
(a) parallel to the line 3x – 2y = 5
(b) perpendicular to the line 1/2x – 2y = 3
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(a) The equation is
(b) The equation is
Correct 6 / 6 PointsIncorrect / 6 Points -
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Question 3 of 5
3. Question
(a) A line passing through the point (-4, 0) is perpendicular to the line joining the points
A (0, -3) and B (3, 0) at T. Find the coordinates of T. [4]
(b) state the gradient of
(i) 5x – py = k
(ii) 2x + 3y = 7
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(a) The coordinate of T is ( , )
(b) (i) m = (ii) m =
Correct 6 / 6 PointsIncorrect / 6 Points -
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Question 4 of 5
4. Question
The diagram shows points A, B and C lying on the line 2y = x + 4 . The point A lies on the y- axis and AB = BC The line from D(10, -3) to B is perpendicular to AC. Calculate the coordinates of B and C [8]
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B = ( , )
C = ( , )
Correct 8 / 8 PointsIncorrect / 8 Points -
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Question 5 of 5
5. Question
The diagram shows a rectangle ABCD, where A is (3,2) and B is (1, 6).
(a) Find the equation of BC [4]
(b) Given that the equation of AC is y = x – 1, find
(i)The coordinates of C [3]
(ii) The perimeter of triangle ABCD correct to 2 decimal places [3]
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(a) (i) the equation is
(ii) C ( , )
(b) Perimeter =
Correct 10 / 10 PointsIncorrect / 10 Points -
