Find the distance from the point (- 2, – 8, – 6) to the line a(t) (5, 3, 2)t + (– 6, 6, – 5). |

Q: find the distance d between the points P1 and P2. P1 = ( - 0.2, 0.3); P2 = (2.3, 1.1)

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Q: Find the point (x0, y0) on the line 4x + 9y = 12 that is closest tothe origin.

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Q: Find an equation for the set of points in an xy-plane that are equidistant from the point P and the…

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Q: Find the point on the line x /a + y/ b = 1 that is closest to the origin.

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Q: Find the line L, that passes through the point P(1,2) and parallel to the line L2: x+2y=3.

A: Given data is: The equation of the line L2: x+2y=3 To find the equation of the line L1 that passes…

Q: 4. Find the distance between the two points S(-5,-2) and T(-3,4).

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Q: Find the distance between the point (0, 4, -1) and the line defined by r(t) = +t

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Q: Find the distance from the point (3,4,1) to the line x=0, y= 4+2t, z= 1+t

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Q: O Find the distance from the point P(,,) to the plane 2k -3y+72=1

A: We will use the direct formula for finding the distance :

Q: Find the distance d between the point M(5, 2, 4) and the line x- 8 y -2 Z-2 %D -8 -9 7.

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Q: Q1. Find the distance between the points A (-1, 3, 7) and B (2, -1, 6).

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Q: Find an equation for the set of points in an xy-plane that are equidistant from the point P and the…

A: Find the equation for the set of points in an xy-plane that are equidistant from the point P -6,3…

Q: Find the points on the line nhere the ta x(t)%3D t3 - 3t +2, Y (t) =3-3t?+2

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Q: Find the midpoint M of the line segment joining the points P = (-1, 6) and Q = (7, - 2). %3D M =

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Q: nd the midpoint M of the line segment joining the points C = (0, 8) and D = (-8, 4). M = 0D Dlo

A: Given:- points C(0,8) and D(-8,4) To find:- mid point of line joining points C and D

Q: Find the distance of the point P to the line l, where l: 3x+4y=12 P:(2,-6)

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Q: Find the distance from the point S(0,0,12) to the line L: x = 4t , y = -2t z = 2t 3

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Q: find the distance d between the points P1 and P2, P1 = (a, b); P2 = (0, 0)

A: we have to find the distance d between the points P1 and P2 where P1=a,b and P2=0,0

Q: Find the distance from the point S(1, 1, 5) to the line L: x = 1 + t, y = 3 – t, z = 2t.

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Q: Find the point of intersection of the lines r(t) = (1, 0, 0) + t(-7, 3, 0) and s(t) = (0, 1, 1) +…

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Q: Q3. Find the distance between the points AB and BC where A is (2,1,0), B is (-1,3,1) and C is (-1,…

A: The points A2,1,0, B-1,3,1 and C-1,0,1 we have to find the distance between the points AB and BC…

Q: find the distance d between the points P1 and P2.P1 = (3, - 4); P2 = (5, 4)

A: Find out the distance d between the points P1 and P2. where P1=(3,-4)P2=(5,4) There is a formula for…

Q: ) Find the distance from the point (4, 1, 2) to the line x = 0, y = 1+ 5t, z = 2+ t.

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Q: H.W.I Find the distance from the pointC2,,3) and the line

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Q: Find the distance from the point S(0,0,12) to the line L: x = 4t , y=-2t z = 2t

A: Write the vector of the given line using x=4t, y=-2t, and z=2t. L→=xi→+yj→+zk→   =4ti→+-2tj→+2tk→…

Q: Q6) Find the distance from the point S= (1, 2, 1) to the line x = 2 -t, y=-1 + 2t, and z= 2 + 2t.

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Q: O Find the distance from the point (2, 1, 4) to the line r = (-t,6 – 2t, 8 – t).

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Q: Find the point P' symmetric of the point P(-5, 13) with respect to the line 2x - 3y - 3 = 0

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Q: Find the distance from the point (4, 1, 2) to the line x = 0, y = 1+ 5t, Z = 2 + t.

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

A: Given query is to find the the distance between point and the line

Q: nd the distance between the points (-3,0) and (0,1). ne distance is

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Q: The area (in square units) between the curve defined by y = x³, the x-axis, and the lines x = -1 and…

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Q: =r = 2 and r = 4cos.

A: Intersection points in polar coordinates given in the form as (r, theta).

Q: Q2) find the distance between two lines L1: x= 1 +4t, y=5 - 4t, z=-1+5t L2: x=2 + 8t, y=4 - 3t, z-5…

A: Method 1:

Q: Find Line in the plane of the points the PCO 10,0) ,Q (e,2,0) and R Coul,-d thal- passes through Q f…

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Q: H.W: Find the distance from the point S(0,0,12) to the line L: x = 4t , y =-21 , z= 21 : =

A: According to the problem, we have

Q: Find a distance from the point S(1,1,5) to the line x=1+t, y=3-t,and z= 2t

A: We need to find the distance of the point (1,1,5) and the given line.

Q: Find the point at which the line 7(t) +t intersects the | xz plane.

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Q: Find the midpoint M of the line segment joining the points P = (-7,-6) and Q = (-1, 2). M = OD %3D

A: We have to find the mid point between the two given points  P(-7,-6) ,Q(-1,2) .

Q: Find the point on the line x + 2y = 5 that is closest to the origin.

A: Let the point (x, y) on the given line x+2y=5  is closest to the origin (0, 0). observe that…

Q: B. Find the point on the line y = 10 – 2x that is closest to the origin. REFLECTION

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Q: Find the distance of the point (4, 2, −4) from the line r(t) = (−1+ 2t, 1+ 2t, 7 – 3t). Answer:

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Q: 11. Find the distance between the point (1,0,-1) and the line x = 5 – t, y = 3 t, z = 1 + 2 t.

A: 11) The direction ratio of the lines  = -1,3,2 The direction ration of the point (1,0,-1) and the…

Q: Q2) A- Find the distance between the line (y = x + 3 ) and center of circle (x²+y²–2x=0).

A: Topic : Coordinate Geometry  Answer  question no 2 :- sqrt(8) As per our guidelines,  at a time only…

Q: Consider the points P(1,0,3) and Q(5, 2, -1), and the line 1: { x = -7-2t y=t z = 9+t

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Q: Find x² z ds, where C is the line segment from (0,5,-1) to (-3,5,2). Check Answer

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Q: Q2: Find the distance from the point R( 2,2,10) to the line: x=t y=1+t z = 3-t

A: Here first we select a general point on the line Now, we find the direction vector of that point to…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.