4. The circle with the equation x² + y2 = 169 cuts the y-axis at M and N, and the x-Q. A line with the equation y = x -7 cuts the circle at A and B.axis at P and(a) Write down the coordinates of M; N; P and Q.a-4at6-zて(b) What are the equations of the tangents at M and N.?(c) Find the coordinates of A and B.(d) Find the length of AB.6ニ2タナゆク1 一てり-209 =12E= 204 +12中5. A circle with centre (0; 0) passes through A (3;-4) and B (-5; 0)(a) Find the equation of the circle.(b) Find the equation of the tangent at A.(c) Find the equation of the radius that passes through the mid-point of AB.6. Find the equation of the tangent to the circle x2 - 2x + y2 + 4y = 5 at the point (-2;-1)7. Find the length of the tangent to x2 +y2 + 2x- 4y = 8 from the point (2; 9)

NOTE: As per our guidelines we supposed to answer only one question. Kindly repost other questions…

4. The circle with the equation x2 + y2 = 169 cuts the y-axis at M and N, and the x- axis at P and Q. A line with the equation y = x-7 cuts the circle at A and B. (a) Write down the coordinates of M; N; P and Q. (b) What are the equations of the tangents at M and N.? (c) Find the coordinates of A and B. (d) Find the length of AB. G2- 1La +6こ9 -209 =12

4. The circle with the equation x2 + y2 = 169 cuts the y-axis at M and N, and the x- axis at P and Q. A line with the equation y = x-7 cuts the circle at A and B. (a) Write down the coordinates of M; N; P and Q. (b) What are the equations of the tangents at M and N.? (c) Find the coordinates of A and B. (d) Find the length of AB. G2- 1La +6こ9 -209 =12

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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4. The circle with the equation x² + y2 = 169 cuts the y-axis at M and N, and the x-
Q. A line with the equation y = x -7 cuts the circle at A and B.
axis at P and
(a) Write down the coordinates of M; N; P and Q.
a-4at6-zて
(b) What are the equations of the tangents at M and N.?
(c) Find the coordinates of A and B.
(d) Find the length of AB.
6ニ2タナゆク1 一てり
-209 =12
E= 204 +12
中
5. A circle with centre (0; 0) passes through A (3;-4) and B (-5; 0)
(a) Find the equation of the circle.
(b) Find the equation of the tangent at A.
(c) Find the equation of the radius that passes through the mid-point of AB.
6. Find the equation of the tangent to the circle x2 - 2x + y2 + 4y = 5 at the point (-2;-1)
7. Find the length of the tangent to x2 +y2 + 2x- 4y = 8 from the point (2; 9)

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