A circle can be defined by an equation x2 + y2 + ax + by + c = 0. Find an equation of a circle that passes through (-4, 1), (3, 0) and (5,4). Ox2 + y2 -8x +2y + 5 = 0 Ox2 + y2 -2x - 4 = 0 Ox2 + y2 + 2x - 8y + 5 = 0 Ox2 + y2 -8y - 9 = 0

Q: An ant is walking on the xy-plane is such a way that its distance to the point (2, 4) is always the…

A: Solution: Let the point P(x,y) is the position of Ant and given that the distance from P(x,y) to…

Q: Find the distance between these two points: (1, -5) and (5, -1)

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Q: A point on the a-axis that is equidistant from the points (9, – 6) |(- 8, 6) is and

A: the given points are .................first point .................second point now the third point…

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: a circle can also be represented in its general form which is written as for a circle to exist,…

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Q: find the circle passing through the three points (0,4),(2,2) and (-2,2)

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Q: Find the distance between the points (3, - 6) and (1, 0).

A: The given two points are 3,-6 and 1,0 Using the distance formula, the distance between two points…

Q: What is the equation of a circle that has center located at (- 2, 0) and passes through the point…

A: Solution: The objective is to find the equation of a circle that has a centre located at (- 2, 0)…

Q: Two cars are traveling on two different roads that are perpendicular to each other. On a coordinate…

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Q: Find the equation of locus of a point which is at a distance 5 from A (4, -3).

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Q: FInd the distance between the points (0,5) and (-5 ,0)

A: Given points , ( 0 , 5 ) & ( -5 , 0 )

Q: If we have the circle (x – 3) + (y – 3)² = 4 and we intersect it with line y 4 what are the two…

A:

Q: Suppose a circle has center (- 8, – 9) and passes through the point (1, 6). The y-intercept(s) are…

A: First find out the equation of circle

Q: Find the distance between the points A = (2, 0, (2, 0, 1) and B = (4, 5,-2)-

A: Given that two points   A =2, 0, -1     and   B = 4, 5, -2      If two points were given, then…

Q: Show that the circle can be drawn touching line 3x+y-6 =0 at (3,3) and touching the line 3x+y+2=0 at…

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Q: Find the distance between the given points. (1, -1) and (2, 2)

A: Given points are  x1,y1=1,-1x2,y2=2,-2

Q: Find the slope-intercept form for the line satisfying the conditions. Passing through (- 3, – 25)…

A: Equation of line in slope intercept form is given by: y = mx+b

Q: Find the exact value of the distance between the line of intersection of the planes 2x-y+2z 6,…

A:

Q: Find the distance between the points (3, 1) and (−3, 0).

A: Given Two points; (3,1),(-3,0)

Q: Find nature of the triangle formed by the lines x2-3y2=0 and x=2

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Q: 5. Is the point (2, 7) on the circle defined by (x – 2) + (y – 7)2 = 4?

A: Given equation of the circle is: (x-2)2+(y-7)2=4 Given point is: (2,7) Substituting,x=2,y=7 in given…

Q: Find the distance between the points (-2, 2) and (2, 5)

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Q: Find the length of the curve y=x^5/6+1/10x^3, 2<x<4

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Q: Find the points of intersection between the line x + y - 4 = 0 and the circle x 2 + y 2 = 16.

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Q: Suppose a circle has center (- 5, – 7) and passes through the point (3, 7). The r-intercept(s) are…

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Q: Find the distance from the point (-6,-2,0) to the line a(t) = ( – 1, – 2, – 5)t + (3, – 6, 6)

A: We  use the definitions

Q: Find the distance between the points (0,5) and (-3,2)

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Q: Graph the circle with center (0, 4) and radius 3. 10 -10 -5 10 -10 10+ -10 -5 5 10 x -10

A: First write the equation of circle than locate the centre and draw the graph.

Q: The distance between the points (1,−2, 0) and (4, 0, 5) is _____ .

A: Given Two points; (1,−2, 0) and (4, 0, 5)

Q: Find the diff equation of family of circles with center on the line y = -x and through the origin.…

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Q: Find the shortest distance between the point Q(2, 0, 0) and the line segment joining the points…

A: Formula used: Distance between the point and a line is, D=PQ×uu Where u=P2-P1

Q: Find the distance from the point (6,−9,−4)(6,-9,-4) to the line…

A:

Q: The two points on the lines 2x +3y +4 = 0, which are at a distance of 2 from the line 3x + 4 y –- 6…

A:

Q: | 2. Find the radius of this circle. -2 -9 8 -7 -6 -5 -4 -3 -2 -1 0 -1- -2 -3 -4 -5 -6 O 8V5

A: Here, from the given graph: The center of the circle is at (-4,-2)

Q: The equation of a circle with center (2,8) and radius 10 is O (2- 2)+ (y- 8)' = 10 O (2 + 2) + (y-8)…

A: Equation of a circle with centre (a,b) and radius r is given by (x-a)2+(y-b)2 = r2 here a = 2 b = 8…

Q: Find the distance between points P1(0, 0, 0) and P2(-6,-2,5).

A: Distance = x2-x1+Y2-Y1+z2-z1

Q: Find the equation of a curve for which y” = 6x – 4 and which passes through (1,2) and (-2 ,5)

A:

Q: Find the distance from the point (-2,2,-1) to the line ä(t) = (- 2,3, 2)t + (8,0, – 7).

A: the given point is (-2, 2, -1) the line equation is a→(t) = &lt;-2, 3, 2&gt;t + &lt;8, 0, -7&gt;

Q: Find the distance between the points (5,3) and (3,0)

A: Given,          The distance between between the points 5,3 and 3,0.We know that,          The…

Q: Draw the circle (x + 1) + (y – 3) = 4. | %3| -6 -5 -4 -3 -2 - 1 2 3 4 -2- -3 -4 -5 -6+

A: see below the figure

Q: Write down equation of the line in space passing through the points Po(1,0,0) and P (0, 1, 1).

A:

Q: Write equations for the circles with radius 5 containing the points (-1, -4) and (4, 1). How many…

A: Given: The circles with a radius(r) is 5 containing the points (-1,-4) and (4,1) Then we have to…

Q: The two points on the lines 2x + 3y +4 = 0, which are at a distance of 2 from the line 3x +4 y – 6 =…

A:

Q: Equation of the circle with center (-4, 9) and radius 8 is

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Q: Show that the locus of the point whose distance from Y-axis is thrice it's distance from (1,2,-1) is…

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Q: A radio signal can transmit messages up to a distance of 5 km. If the radio signal's origin is…

A: Given that radio signal can transmit messages up to a distance of 5 km origin = (-2, 7)

Q: Find the distance between the points (3, 0) and (-1, -2).

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Q: suppose a circle has a center (8,-8) and passes through the point (-3,-3) what are the y intercept.

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Q: Draw a circle with center ( 3, 1 ) and radius of 2. 5 4 3 2 1 -5 -4 3 4 5 -4 -3 -2 -1 Clear All…

A: We have to draw the circle with center(3, 1) and radius  of 2.

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.