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
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
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.2: Points, Lines, And Their Graphs
Problem 45WE
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If k=-2, calculate size of a
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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