If the distance between the points R(a+b, b+c) and S(a +c, a +b) is (a – b), show that (a- c)(b- c)=0.

Q: Construct a line perpendicular to the line below through point W. W

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Q: Find the distance between the points P = (1, 3) and Q = ( - 4, 2).

A: We have to find the distance between point P(1,3) and Q(-4,2)

Q: find the distance from the point to the line. (0, 0, 12); x = 4t, y = -2t, z = 2t

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Q: t is the line that in ctly one point?

A: Introduction: A tangent to a circle is a straight line that intersects the circle only once. This is…

Q: Show that the pair of bisectors of the angles between the straight lines (ax+by)?=c(bx-ay)², c>0 are…

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Q: Which point is one fourth of the way between point A and point B on the line segment AB shown on the…

A: Here we will find the point which is one forth of the way between point A and point B,

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: Use the Pythagorean Theorem to find the distance between the points (-3,5) and (-1, 1).

A: Pythagoras Theorem is applicable on right angle triangle. Hypoteneous2=(perpendicular)2+(base)2…

Q: Use the above formula to find the distance from the point to the given line. (5, 3, -3); x = 1 + t,…

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Q: Find the value of x,if the distance between the points (x,1) and (3,2) is 5

A: Use the distance formula and solve for unknown.

Q: Evaluate a?y x²y ds where C is the line segment from (0, 1) to (2,2).

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Q: Find the distance from the point P(2,1) to the line y = x + 2 *

A: Given point is P(2,1) and the line is given as y=x+2 1x-1y+2=0 The formula to find the distance…

Q: Determine if the line AB is tangent to the circle. 16 12.8 10.4 A

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Q: Determine is line AB is tangent to the circle. 13 11.5 B 6.6

A: follow next step

Q: B. Find the distance between the point (1. 1.3) and the line =z-3) OMI NOTL

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Q: The midpoint of AB is at (- 1, – 1). If A = (5, Tind B. %3D - B is:(

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Q: Find the distance between the lines: ri = +! r2 = + s

A: We have to find the distance between given 2 lines.

Q: Determine if line AB is tangent to the circle. 15 8. B. 6.

A: Yes AB is tangent to the circle.

Q: Into a circle inscribed is deltoid (kite). If one of its angles between equal sides subtends 60°…

A: Given: The deltoid inscribed in a circle and one of its angle between equal sides subtends 60°, To…

Q: Show that the midpoint of the line segment joining the points (a, b) and (c,d) is ((a + c)/2, (b +…

A: Mid point formula is:

Q: Find the distance from the point P(2,1) to the line v = x + 2

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Q: Prove that if A is a point on the perpendicular bisector of line segment BC then A is the same…

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Q: If the four straight lines ax + by +p=0, ax + by +q = 0, cx + dy +r=0 (p-a)(r-s and cx + dy + s = 0…

A: The given equation of lines of parallelogram are  ax + by + p = 0,   ax + by + q =0 m1 = -a/b c1 = -…

Q: The midpoint of AB is at (-5, 3). If A = (4, -6), find В. B is:(

A: Mid point: If Ax1, y1 and Bx2, y2 are any two points then, the coordinates of the midpoint of AB are…

Q: Find (i) the undirected distance between point A and b, and (ii) the midpoint of the line segment…

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Q: By using the calculus of variations, prove that the shortest distance between two points in the y z…

A: The functionals with in the calculus of variations are of the form V[f(x)]=∫abF(x,y(x),y'(x))dx The…

Q: Find the distance between the points: (3, 7) and (2, 12) ww.. A

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Q: If the four straight lines ax + by + p= 0, ax+ by +q= 0, cx+ dy +r=0 |(p-g)(r-s)| and cx + dy + s =…

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Q: Consider points A, B, C, and D, no three of which are collin- ear. Using two points at a time (such…

A: Given information: A, B, C and D are four points in which no three points are collinear.…

Q: The formula for the distance between two points is:

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Q: 2) 2 4-2

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Q: 3.2 5.5 6. A

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Q: Let A(x,y) be the point on the line y = x + 1 that is closest to the point B(2,0). Then the square…

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Q: Which point is three fourths of the way between point A and point B on the line segment AB shown on…

A: follow next step

Q: For Fano's geometry, prove that the lines through any one point of the geometry contain all the…

A: Given detail: For Fano's geometry, prove that the lines through any one point of the geometry…

Q: prove that if A is a point on the perpendicular bisector of line segment B-C  then A is the same…

A: Prove that if A is a point on the perpendicular bisector of line segment B-C  then A is the same…

Q: Find the distance in between the point P(0, 2, – 4) and the point Q(3, – 2, – 3). -

A: Given:P0,2,-4 and Q3,-2,-3

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

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Q: If the point (4, 1) is the midpoint of the line PD , where P (x, 3),  D (7, y)   ,  find the value…

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Q: Hence, find the distance between this point and point Q when a > 2.

A: This is a problem with the Application of derivatives.

Q: Find the distance between the points (p, q) and (0,0)

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Q: Which point is one fourth of the way between point A and point Bon the line segment AB shown on the…

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Q: Consider the two points defined as: (1/2,-3) and (-1/6,- 1/2).The distance between the points is:

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Q: Find the distance in between the point P(0, 2, – 1) and the point Q(0, 1, 2).

A: we have to find distance between the points P and Q Given Points : P(0,2,-1) and Q(0,1,2)

Q: By using the calculus of variations, prove that the shortest distance between two points in the y z…

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Q: Determine the exact distance from the point P (1,2) to the line (-1,3) + t(2,9), t e R . Show your…

A: Given

Q: d. (1,1/2), (1/2,-2) e. (2, -4), (0,7) f. (-2.5, -3.5), (6.5, -5.5)

A: We can find the distance using the distance formula as below.