The general solution of the DE xdy = ydx is a family of A lines passing through the origin B parabolas c) circles parallel lines

Q: Write the equations of the lines tangent to the circle (x + 3)² + (y – 4)² = 18 and are…

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Q: 2. At what point greatest angle. on the line y = b does the line segment from (0,0) to ( a,0)…

A: To find the point on the line y = b  that subtend the greatest angle on the line segment from (0, 0)…

Q: A circle passes through the point (6, 2). If segments of the straight lines x + y = 6 and x + 2y = 4…

A: We can find the radius as below.

Q: Show that the product of the perpendicular distances from the origin to the pair of lel la-b) + 4h?…

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Q: I need a paragraph proof for proving that a circle and a line cannot intersect in three or more…

A: Equation of a circle is of the form (x-h)2+(y-k)2=r2 And the equation of a line is of the form…

Q: 2. At what point on the line y = b does the line segment from (0,0) to ( a,0) subtend the greatest…

A: Question 2) Consider the given line y=b  and the points (0,0) and (a,0)

Q: 7. Three teammates from a local soccer club are practicing passing in triangular pattern as shown in…

A: It is given that three players AB and C are playing in such a manner to form right angle triangle…

Q: What value of x would prove that lines /and mare parallel? (8x-31) (5y+35) (6x+3) 217 O 28 014

A: Given, l||mTo find: magnitude of x

Q: 2. At what point on the line y =b does the line segment from (0,0) to ( a,0) subtend the greatest…

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Q: I need a paragraph proof for proving that a circle and a line cannot intersect in three or more…

A: The equation of line is y = mx + c and the general equation of circle is (x – a)2 + (y – b)2 = r2…

Q: If a slide, a tetherball, and a swing are all 20 feet apart in a park, where could a water fountain…

A: Explanation: Here a slide. a tetherball, and a swing are all 20 feet apart in a park. Locus of the…

Q: "The intersection of two planes is a line" is a statement that is generally accepted as true, but…

A: Since a Postulate is a statement which is assumed to be true without any proof.

Q: 2. Draw a line that is perpendicular to segment XY with point A, not on the segment A.

A: Solution

Q: What is an equation of the line that passes through the point (–6, –6) and is paralle to the line x…

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Q: Find the point P on AB that is one-third of the distance from A(-1, 2) to B(8, 5). y 10 8. P -10-8…

A: Given points A(-1, 2) and B(8, 5). To find point P which divides the line segment in the ratio 1:3.…

Q: (a) What is the equation of the line that is tangent to the circle of radius 8 at (0, – 8) and whose…

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Q: If the straight lines are coplaner then they are?

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Q: Two straight lines 3x – 2 y + 5 = 0 and 6x – 4y + 10 = 0 intersect at the origin. are coincident.…

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Q: Assume that lines which appear to be tangent are tangent. Solve for the unknown side. 10. 11. 12 16…

A: We have to find the missing length of triangle.

Q: The intersection of plane A and plane S will be The intersection of lines n and k is W A x, Point X…

A: The intersection of two planes is a line. The intersection of 2 lines is a point The intersection of…

Q: A yacht is travelling on a course parallel to and 80 kilometers from the straight shoreline of…

A: Given,         A yacht is traveling on a course parallel to and 80 kilometers from the straight…

Q: The points P, Q and R have coordinates (8, 7), (−2,−1) and (−6, 5) respectively. Show that the…

A: The point P is (8,7) and find the equation of the line passing through the point (8,7).The line…

Q: *5. Prove that no two lines in hyperbolic geometry are equidistant from one another by showing that…

A: Hyperbolic Geometry:        It is also a non-Euclidean geometry. It is through a point not on a…

Q: The diagonals of rhombus LMAO intersect at P(4, 11). If the equation of the line contains diagonal…

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Q: Find the point where the common point of the circles x2+y2=25 and x2 +y2-12x-6y+35=0 intersects…

A: Here we have to find the point where the common point of the circles x2+y2=25 and x2 +y2-12x-6y+35=0…

Q: Suppose a line that appears parallel to side BC of ΔABC intersects sides AB and AC at points C and Y…

A: Suppose a line that appears parallel to side BC of ΔABC intersects sides AB and AC at points X and Y…

Q: We are given 17 points inside a regular triangle of side length one. Prove that there are two points…

A: We use Pigeonhole Principle to solve this which states that if n items are put into m containers…

Q: chain line PQ intersects a pond as seen in Figure. Two points A and B are taken on the chain line on…

A: In △ADC, let ∠ADC=θ    AD=300m,  AC=250m    DC=DB+BC         =150+100=250m  Now,…

Q: In the xy-plane, line k intersects the y-axis at the point (0, –6) and passes through the point (2,…

A: Given:- In the xy-plane, line k intersects the y-axis at the point (0, -6) and passes through the…

Q: If c>+, how many lines through the point (0, c) are normal lines to the parabola y = 3x2? normal…

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Q: 2) 2 4-2

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Q: The distance from a point P₁(x1, y₁) to the line ax + by + c = 0 is lax₁ + by₁ + cl √² + b² Use this…

A: SOLUTION-

Q: The equation of a line perpendicular to 4x+7y– 63 =0 is Oy- z 6 Oy--- I. Oy =z+

A: See the details solution in below

Q: The lines joining the origin to the point of intersection of the line lx+my=1 and y²=4ax are at…

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Q: And the eguation of lines in which the blane 2x+47280 4u2-y2= 32²=0. ーザ cuts the cone Also find ind…

A: Hi! You have posted multiple sub-parts. As per norms, we will be solving only three sub-parts. We…

Q: Without lifting your pencil from start to finish, draw 4 line segments through all 7 dots. The…

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Q: 3 -2-1 -2 -3 -4 -5 -6V How can we

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Q: Show that the point is on the unit circle. (2-) We need to show that the point satisfies the…

A: Equation of unit circle is x²+y² = 1

Q: Suppose  three points on a plane are defined as A=(8,2) B=(-1,-10) C=(-8,14) all lengths  are in…

A: Here we find the distance between the points and check the formation of the triangle.

Q: The students in Ms. Logan’s class were asked to construct a line perpendicular to line through point…

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Q: The parking spaces in a city lot were created by painting If mz2 = 115°, what is mz1? rows of…

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Q: Suppose a line that appears parallel to side BC of △ABC intersects sides AB and AC at points X and Y…

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Q: Three students, Alicia, Benjamin, and Caleb, are constructing a square inscribed in a circle with…

A: It can be solved easily by using geometrical figures properties.

Q: what is the geometric plàce of points multiplication two given whose of their distance to the lines…

A: Let the line be L1 and L2 having points (x1 ,y1 ) and (x2 ,y2 ) and locus of the geometric place of…

Q: Fix one vertex at (0,a) in the (x,y)-plane and move another vertex along the x-axis. Show that the…

A: Given: A fixed vertex 0,a A second vertex moving along the x-axis. To show: The locus of the third…

Q: A circle in the xy-plane has a diameter with endpoints (-1, 3) and (7,3). If the point (0,b) lies on…

A: Topic = circle

Q: 4:x 3+6r, y =-2+9t,: =1-12t and L:x=-1+4t, y 3+6,-8r

A: We are given L1: x=3+6t, y=-2+9t, z=1-12t. So, L1: x-36=y+29=z-1-12. Thus, a1=6, b1=9, c1=-12. We…

Q: george noticed when that pair of paralell lines was cut by a transversal, a certain pair of adjacent…

A: We have to find the conclusion when pair of parallel lines are cut by a transversal and a certain…

Q: 9. If a projectivity from a point to itself fixes two lines through the point, then the projectivity…

A: True Statement.