QUESTION 4 In the diagram, P(-3; 4) is the centre of the circle. V(k; 1) and W are the endpoints of a diameter. The circle intersects the y-axis at B and C. BCVW is a cyclic quadrilateral. CV is produced to intersect the x-axis at T. ofc-a. y P(-3; 4) a 0 4.1 The radius of the circle is √10. Calculate the value of k if point V is to the right of point P. Clearly show ALL calculations. 4.2 The equation of the circle is given as x²+6x + y²-8y +15-0. Calculate the length of BC. 4.3 If k-2, calculate the size of: 4.3.1 a V(k; 1) B C 5

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.3: Preparing To Do Analytic Proofs
Problem 40E: The graph of the parabola y=x2 contains the point X with x-coordinate a and point Y with...
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If k=-2, calculate size of a
QUESTION 4
In the diagram, P(-3; 4) is the centre of the circle. V(k; 1) and W are the endpoints
of a diameter. The circle intersects the y-axis at B and C. BCVW is a cyclic quadrilateral.
CV is produced to intersect the x-axis at T. OTC=a.
y
P(-3; 4)
a
0
4.1
The radius of the circle is √10. Calculate the value of k if point V is to the right
of point P. Clearly show ALL calculations.
(5)
4.2
The equation of the circle is given as x²+6x+y-8y +15-0. Calculate the
length of BC.
4.3
If k-2, calculate the size of:
4.3.1
4.3.2 VWB
4.4
A new circle is obtained when the given circle is reflected about the line y = 1.
Determine the:
4.4.1 Coordinates of Q, the centre of the new circle
4.4.2 Equation of the new circle in the form (x-a)²+(y-b)² =²
4.4.3 Equations of the lines drawn parallel to the y-axis and passing through the
points of intersection of the two circles
(2)
V(k; 1)
B
€
(3)
(2)
5
Transcribed Image Text:QUESTION 4 In the diagram, P(-3; 4) is the centre of the circle. V(k; 1) and W are the endpoints of a diameter. The circle intersects the y-axis at B and C. BCVW is a cyclic quadrilateral. CV is produced to intersect the x-axis at T. OTC=a. y P(-3; 4) a 0 4.1 The radius of the circle is √10. Calculate the value of k if point V is to the right of point P. Clearly show ALL calculations. (5) 4.2 The equation of the circle is given as x²+6x+y-8y +15-0. Calculate the length of BC. 4.3 If k-2, calculate the size of: 4.3.1 4.3.2 VWB 4.4 A new circle is obtained when the given circle is reflected about the line y = 1. Determine the: 4.4.1 Coordinates of Q, the centre of the new circle 4.4.2 Equation of the new circle in the form (x-a)²+(y-b)² =² 4.4.3 Equations of the lines drawn parallel to the y-axis and passing through the points of intersection of the two circles (2) V(k; 1) B € (3) (2) 5
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