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Coordinate Geometry Quiz
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Question 1
Write the equation of a line parallel to the line and passing through the point (1, -2, 3)
Question 2
Write the equation passing through the point (2, -1, 1) and parallel to the plane 3x + 2y – z = 7
Question 3
Let the coordinates of the points A, B, C be (1, 8, 4), (0, -11, 4) and (2, -3, 1) respectively. What are the coordinates of the point D which is the foot of the perpendicular from A on BC?
Question 4
The coordinates of the vertices P, Q and R of a triangle PQR are (1, -1, 1), (3, -2, 2) and (0, 2, 6) respectively. If ∠RQP = θ, then what is ∠PRQ equal to?
Question 5
Find the equation of the circle passes through the point (1, 3) and (2, -1), and has its centre on the line 2x + y – 4 = 0
Question 6
If (-1, 3) and (α, β) are the extremities of the diameter of the circle x2 + y2 – 6x + 5y – 7 = 0, find the coordinates (α, β).
Question 7
If and are vectors such that and then what is the acute between and ?
Question 8
A conical flask is full of water. The flask has base radius r and height h. the water is poured into a cylindrical flask of base radius mr. Find the height of water in the cylindrical flask?
Question 9
2.2cubic dm of grass is to be drawn into a cylinder wire 0.25cm in diameter. Find the length of wire?
Question 10
If and then what is the value of λ?
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