what is the geometric plàce of points multiplication two given whose of their distance to the lines is constant-

Q: The equation of a line of passage to the point (3,3) and is parallel to the line y=1/2x+2 is?

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Q: Find the distance from the point (3,-1, 4) to the line z -2+3t, y = -2t, z = 1+ 4t.

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Q: Find the distance from the point to the line. Knowing that the point Po (2, 1, 3), x= 2+2t, y= 1+6t…

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Q: The distance between the line x - y + 3 = 0 and the line y = x + 2 is

A: The given two lines are x-y+3=0  and y=x+2. The equation of second line can be written as x-y+2=0.…

Q: Is there a value for k that would make the line between the points (k,2) and (3,8) horizontal? If so…

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Q: A line passing through (0, –3) and is perpendicular to y =;x – 4. х —

A: The given line passing through the point 0,-3 and it perpendicular to the line y=52x-4. Calculation:…

Q: Find the point on the line x/a + y/b =1  that is closest to the origin. Be sure to enter it as an…

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Q: Find the shortest distance from the point x = (-3, 0, -12)  to the line r = t(0, -2, -2).

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Q: calculate the distance between point(5,2) and the line, 2x+5y=10

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Q: WHAT IS THE EQUATION OF A TAMILY Of A STRAIGT LINES WITH X Y INTERCEPIC

A: We can find the equation of family of a straight lines with x and y intercepts as below

Q: What are lines are perpendicular to the line 3x+2y=6

A: Line perpendicular to ax + by + c = 0 can be written as bx - ay + k = 0 , k= constant.   So line…

Q: Find the distance between the point P(-2,4) and the line 3x-4y 12

A: Find the distance from the point P (–2, 4) to the line 3x – 4y = 12.

Q: What is a part of a line with one endpoint. The other side extends indefinitely?

A: Now,  we will find the solution to the given problem.

Q: What is the distance between the line with Cartesian equation x-4 = y-6 = z and the line with…

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Q: which statement is true about a line that is parallel to the y axis and passes through the point…

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Q: The equation of the line tangnet to the graph of 24e^x at x=2?

A: Find the derivative of the given function.

Q: Find the length of the chord intercepted by the circle x2+y2-x+3y-22=0 on the line y=x-3

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Q: Is there a value for k that would make the line between the points (k,2) and (3,8) vertical? If so,…

A: Given points K,2 and 3,8If the given line is vertical then the line is parallel to the y-axis…

Q: How Find the pistance from fant(,3). and Line y -4

A: on solving that we get d=1

Q: Find an equation of the line L.   L is perpendicular to y=3x through point (2,6)

A: Compare y=3x with y=mx+bSo, m=3Slope=3

Q: Find the distance from the point to the line. Knowing that the point Po (2, 1, 3), x= 2+2t, y= 1+6t,…

A: The distance of a point P from a line passing through the point Q and parallel to the vector v→ is…

Q: The distance of the line 7x + y –5 = 0 from the origin is?

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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 equation of the line that 2 is perpendicular to y = -x and 3. contains the point (4,-8). […

A: Use the concept:        The equation of line contains the point (x1 , y1 ) and perpendicular to line…

Q: The distance from the point (2,1) to the line  4x-3y+5=0 is

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Q: Find the distance between the point (-1, 5, 3) and the line given by x = 5 + t, y = 1 - 2t, and z =…

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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: The distance from a point (2, y) to the line 4x + 3y =0 is equal to 5. Find the value of y.

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Q: Find the distance from the point to the given line x =1+t, y= 3-2 2t, z=4- 3t and point (4,1,-2)

A: To find  The distance from the point to the given line.

Q: What is the midpoint of the line segment? Drag the coordinates to the boxes to correctly match the…

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Q: What is the distance between the line with Cartesian equation x-6 = y-7 = z and the line with…

A: Parallel lines have the same direction ratios.

Q: Find the distance from the Point to the given line X- 1+t, y- 3-2t, z-4-3t and point 6. (4,1,-2)

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Q: Find the equation of a line parallel to y=12 that contains the point (3,2).

A: Here firstly we recall that y = a is a line parallel to x - axis .

Q: Find an equation of he line that satisfies the given conditions.      Through (-5,3); perpendicular…

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Q: The coordinates of a point on the line x+ y+1 = 0 which is at a distance /2 units from the line 3x +…

A: Given: The line x+y+1=0 which is at a distance 2 units from the line 3x+4y-2=0 To find: Coordinates…

Q: What is the distance between the line with Cartesian equation x-2 = y-7 = z and the line with…

A: Consider the line, l1=x-21=y-71=z1  and    l2=x-71=y-71=z-11 The formula for finding shortest…

Q: . If two lines are perpendicular, what should you know about their slopes and y-Intercepts? Provide…

A: Given that two lines are perpendicular We need a statement about the slopes of the lines and their y…

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

A: This question is based on straight line intersection.

Q: Find the line L passes through the point (-2,2) and perpendicular to the line L`: 2x +y = 4.

A: Given, The line L passes through the point -2, 2 and perpendicular to the line 2x+y = 4    We have…

Q: In triangular space it is sufficient to know two different points to find the line passing through…

A: Given statement is 'True'

Q: So Find x²z ds, where C' is the line segment from C (0,-5,4) to (-6,-4,3)

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Q: What is meant by coincident lines? Give an example along with

A: Consider two lines “l” and “m” respectively as

Q: What is the distance between the line with Cartesian equation x-4=y-4=z and the line with Cartesian…

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Q: How Find the Distance from Fant(1,3) and Line y =4

A: The distance between a point x0, y0 and the line ax+by+c=0 is given by d=ax0+by0+ca2+b2. The given…

Q: Find the equation of the line passing through the point (4,5) and perpendicular to the line 3y=7-4x…

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Q: The line perpendicular to y=9x+5 and containing (5,4)

A: Given:

Q: What can you conclude if you know that the point (p, q) lies on the line y — тх + b?

A: The given equation of the line is, y=mx+b If a point lies on the line then the point satisfies the…

Q: What is the distance between the line with Cartesian equation x-4 = y-4 = z and the line with…

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Q: Show that the product of the perpendicular distances from the origin to the pair of straight lines…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.