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mine the equation of the tangent to the circle (x+4)² +(y+2)² = 50 at the poi (1; 3) (2) (-9; 3)

mine the equation of the tangent to the circle (x+4)² +(y+2)² = 50 at the poi (1; 3) (2) (-9; 3)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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V Determine the equation of the tangent to the circle (x+4) +(y+2)² = 50 at the point (1) (1; 3) (2) (-9; 3) Determine the equation of the tangent to the circle x² +y² +2x-6y-4 = 0, at (-6; 2). O Determine the equation of the tangent to the circle (x-7) +y = 13, at the point (p;-2) where p>7 (1) (2) (5; q) where q>0 In the sketch alongside, the equation of the circle is x-6x+y +ay D0. H F M is the centre of the circle passing through P, R and Q. R is a point on the y-axis and P has coordinates (-1;1). PQ is a diameter of the circle. AB, CD, ERF and HQG are all tangents to the circle. AB is parallel to the y-axis and CD is parallel to the x-axis. M. E G. P(-1; 1) (1) (2) Show that a =-8. Determine the coordinates of M. (3) Determine the equation of (i) (4) AB (ii) CD Determine the equation of (i) ERF in the form ax+by+c=0. (ii) HỌG in the form y= mx+c. etch alongside, the point f the circle. AT and BT circle at A and B res quation of AT is 3 Determine the P(-2; 3)
Transcribed Image Text:V Determine the equation of the tangent to the circle (x+4) +(y+2)² = 50 at the point (1) (1; 3) (2) (-9; 3) Determine the equation of the tangent to the circle x² +y² +2x-6y-4 = 0, at (-6; 2). O Determine the equation of the tangent to the circle (x-7) +y = 13, at the point (p;-2) where p>7 (1) (2) (5; q) where q>0 In the sketch alongside, the equation of the circle is x-6x+y +ay D0. H F M is the centre of the circle passing through P, R and Q. R is a point on the y-axis and P has coordinates (-1;1). PQ is a diameter of the circle. AB, CD, ERF and HQG are all tangents to the circle. AB is parallel to the y-axis and CD is parallel to the x-axis. M. E G. P(-1; 1) (1) (2) Show that a =-8. Determine the coordinates of M. (3) Determine the equation of (i) (4) AB (ii) CD Determine the equation of (i) ERF in the form ax+by+c=0. (ii) HỌG in the form y= mx+c. etch alongside, the point f the circle. AT and BT circle at A and B res quation of AT is 3 Determine the P(-2; 3)
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