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ANALYTIC GEOMETRY 1. Find the equation of the line is if the points (-2,3)(xy) and (-3,5) lie on a straight line.

ANALYTIC GEOMETRY 1. Find the equation of the line is if the points (-2,3)(xy) and (-3,5) lie on a straight line.

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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ANALYTIC GEOMETRY Find the equation of the line is if the points (-2,3),(xy) and (-3,5) lie on a straight line. 2. The cable of a suspension bridge hangs in the form of a parabola. The distance between two towers is 800 ft. and 1. the points of support of the cable on the towers are 170 ft. above the roadway and the lowest point on the cable is 10 ft. above the roadway. Find the vertical distance to the cable from a point in the roadway 100 ft. from the foot of the tower. 3. Determine the farthest distance from the point (3,7) to the circle x²+y²+4x-6y-12=0. 4. Find the area of the hexagon ABCDEF formed by joining the points A(1,4), B(0,-3), C(2,3), D(-1,2), E(-2,-1), and F(3,0). 5. A circle is circumscribing a triangle formed by the lines y=0, y=x and 2x+3y=D10. Find the area of the triangle inscribed in the circle.
Transcribed Image Text:ANALYTIC GEOMETRY Find the equation of the line is if the points (-2,3),(xy) and (-3,5) lie on a straight line. 2. The cable of a suspension bridge hangs in the form of a parabola. The distance between two towers is 800 ft. and 1. the points of support of the cable on the towers are 170 ft. above the roadway and the lowest point on the cable is 10 ft. above the roadway. Find the vertical distance to the cable from a point in the roadway 100 ft. from the foot of the tower. 3. Determine the farthest distance from the point (3,7) to the circle x²+y²+4x-6y-12=0. 4. Find the area of the hexagon ABCDEF formed by joining the points A(1,4), B(0,-3), C(2,3), D(-1,2), E(-2,-1), and F(3,0). 5. A circle is circumscribing a triangle formed by the lines y=0, y=x and 2x+3y=D10. Find the area of the triangle inscribed in the circle.
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