4) If is a real numbes and Tumber 2+31 3+1 E represented. line m the Argand diagea show thet a point

Q: A, B, and C are three points on a line. AC = 8, ВС %3 4, and AB = 12. Which point must be between…

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Q: Show that the solution set to det a b = 0 is the line a2 b2 1 (3) a1 + span b b2 - b

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Q: Decide if this statement is valid or invalid. If 3 points are on the same line, then they are…

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Q: It is subset of a line that has two endpoints.a. Intersectionb. Line segmentc. Concurrentd. Ray

A: When the accumulation of points (or two points) ends with a specific length with two endpoints is…

Q: Lines ℓ and m are intersected by transversal t and ℓ ∥ m. If m∠3 = 126°, what is m∠5?

A: The pairs of angles on one side of the transversal but inside the two lines are called Consecutive…

Q: 9. If three distinct points P, Q, and R all lie on a line and if d(P, Q) = d(Q, R), then Q is called…

A: A line has no endpoints. A line is shown by two arrows on both ends. Whereas a line segment is part…

Q: 10. Their are 2 points are given in the question, find the line paasing through these. (1,-2) (-3,6)

A: The line passing through the points 1, -2 & -3, 6.

Q: 3. Find the number of paths from A to B, travelling along the lines, downward or to the right.] A B

A: Using combinatorics =(m+n-2)!/(n-1)!(m-1)!

Q: 2. Evaluate . 3x – 6y ds for C is the line segment from (6,0) to (6,6).

A: Let C be a piecewise smooth curve defined by, Let P and Q be two continuous functions of x and y…

Q: here is astraight line Pasrsing through the Points ACI, o, -1). BCo.1.0),c(-1,2,1) true

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Q: 2. What is another name for line m?

A: Here we have write another name for line m by looking at the given diagram.

Q: 8. Lines p and q are intersected by transversal t as shown. What value of x proves that linesp and q…

A: Follow the procedure given below.

Q: olit he giren puints A and Bi and find he slype of the otr yht hoie clebermined by Hen d aper…

A: Given points are, A1,2B2,-1 The formula for finding the slope of the straight line is, m=y2-y1x2-x1

Q: Prove: In the five-point geometry, each point has exactly four lines on it.

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Q: If, as x approaches some number c, the values of |R(x)|→∞, then the line x = cis a of the graph of…

A: If, as x approaches some number c, the values of R(x)→∞, then theline x=c is a ..................of…

Q: Draw two parallel lines m and n. Then place two points R and 5 so that the locus of points…

A: Two parallel lines m and m.Two parallel lines m and m are given In this only one point will be on…

Q: If A is (- 8, 3) and B is (- 4, – 1), then the midpoint of AB is (_?, ?_).

A: We know that, mid point of a line segment joining the points x1,y1 and x2,y2 is given as Mid…

Q: It is possible for two intersecting lines to be noncoplanar.

A: It is possible for two intersecting lines to be noncoplanar.

Q: If F =, and C is the line segment from (0, 0) to (1, 1). Then is equal to C O a.2e +2 -1 Ob. 2e 2e-2…

A: The given vector function is F→ = -e-x, -e-y. The line segment C is from (0,0) to (1,1).We have to…

Q: Given: line a || line b. If m3 2x + 10 and mZ5 5x 40, then m25 %3D |3D 3 4 5 6 7 8 30* O 110" O 150*…

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Q: Suppose a line runs through two points: p=(3,2) and Q=(15,8) What the slop of the line

A: Given: A line passes through two points  P = 3, 2Q = 15, 8 To find: The slope of the line.

Q: Prove that for each point the are at least two straight lines that pass through it, accordir to the…

A: There is a point and we have to show that 2 or more lines can pass from that point.

Q: → → If m= (2. 1. 5) and n = (3. 0. x) are perpendicular, then the value of x is

A: Solve the following

Q: Consider à = (2,1,k), and b = (k,-8,k). Find the value of k such that å and bare perpendicular.

A: We can find the values of k as below.

Q: Define the points P(-4, 1), Q(3, -4), and R(2, 6).

A: P-4, 1 & Q3, -4

Q: What is the egualion of Hhe line over the intereval (5, ] ? What would the exact value of the…

A: Given Points (-5,-3), (-2,4) through which the required line passes.

Q: 3. Consider 20 points where no three or more points lie on a straight line. How many straight lines…

A: Introduction: From a set of n distinct object, r distinct object can be selected following no…

Q: Find the equation of the Mane that contains the line 3X - 2:2 = - 39 = 7-7 and that is Para llel to…

A: When the plane is parallel to the line x-y+z=2: Here n1→=i^-j^+k^ and a→=2i^+3j^+k^ To find…

Q: W Y

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Q: Determine if the following lines are intersecting, parallel, or skew. Line 1: x=1, y = 21+1, z = 31…

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Q: Show that the point P(3, 1, 2) is equidistant from the points A(2, -1, 3) and B(4, 3, 1).

A: Let the distance between P(3, 1, 2) and A(2, -1, 3) be d1 and the distance between P(3, 1, 2) and…

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: If A(4,8,12), B(2,4,6), C(3,5,4) and D(5,8,5) are four points, show that the lines AB and CD…

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Q: There are 8 points in a plane, and no three points are collinear. These 8 points, taken 2 at a time,…

A: Combination: The possible number of ways to select r items from the total n items is given by:…

Q: Locate the point on the line segment between A(3,-5) and B( 13,-15) given that the point is 4/5 of…

A: This problem is based on the Section formula which is explained in step 2.

Q: Of several line segments, AB > CD (the length of segment AB is greater than that of segment CD), CD…

A: Given: AB>CD, CD>EF, EF>GH, & GH>IJ To determine: The conclusion that the Transitive…

Q: 1. IN EACH CASE STATE WHETHER THE LINES ARE PARALLEL OR NOT GIVE REASONS FOR YOUR STATEMENT: 41 80 F…

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Q: When lines a and b are cut by transversal d, 22 and 27 are a pair of alternate exterior angles that…

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

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Q: 13. XPOQY and AOB are straight lines. PO =0Q and 21 = L2. Prove that ZA = ZB. B. A

A: That's easy. Have a great day!!!

Q: 14. How many straight lines can be formed by joining 12 points on a plane out of which no points are…

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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: If the points (h, 0), (a, b), and (0, k) lie on a line, show that 1 + k h

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Q: Using only the diagram, you can be certain that lines a and b are parallel. O True O False

A: False Sufficient information is not given to say that line a and b are parallel. Line b is…

Q: What is the point of intersection, P(x, y) of the following lines: 5x + 2y = 4 and -2x + y = 11. x =…

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Q: The three cevians in ΔABC are concurrent. What does concurrent mean with respect to lines?

A: Given that: Three cevians in ΔABC are concurrent.

Q: If C is the straight line from (1,1,1) to (2,1,2) find 2xlnzdx + 2y²zdy + y³dz.

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Q: (d) The lines 1(1) = (1 – t, 1 + 1, 21) and I2(t) = (4 – 21,3 + 21, 1 + 5t) are parallel. True False

A: Let                          L1(t) : (a1-b1t, c1-d1t, e1-f1t)       L2(t) : (a2-b2t, c2-d2t, e2-f2t)…