Given directed line segment AC with A(3, -1) and C(8, 4), if B partitions AC such that the ratio of AB to BC is 3:2, find the coordinate of B.

Q: Show that one of the lines givenby 6x² - xy - 12y² = 0 coincides with one of %3D the lines givenby…

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Q: 63

A: Given triangle is : Angle ∠B=63∘ One angle is 90∘ To find the value of ∠A

Q: the two lines are parallel to each other

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Q: Let K = (5,12), L = (14,0), and M= (0,0). The line x + 2y = 14 bisects angle MLK. Find equations for…

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Q: Let line L: x = 2t, y = 0, z = 3, and let line M: x = 0, y = 8 + s, z = 7+s, for some constants t…

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Q: 3. Write the equation of a line that is perpendicular and passes through the midpoint of AB with…

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Q: 4x - 2y -d.A, where R is the parallelogram enclosed by the lines ° R-5x - 4y Find 4x - 2y =0, 4x -…

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Q: Find the angle between the lines whose direction cosines are given by 1+m+n=0 and 2/²+2m²-n² = 0.

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Q: Determine whether the following two lines L1 and L2 are parallel, interesecting, or skew. L1: x/2 =…

A: Solve the following

Q: A line perpendicular to the line segment joining the points A (1,0) and B(2,3) , divides it at C in…

A: Given: A line segment between A(1,0) and B(2,3). Another line say CD acts perpendicular to the line…

Q: Are AB and PQ parallel, and if so, do they paint in the same dırecton? A= (4,4) B= (-S, 2) P= (0,-1)…

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Q: 4. Find the equation of line 4 that is parallel to v=-i+3j+2k and goes through the point (-6,20,1).…

A: Answer is mentioned below

Q: Find the obtuse angle formed by the lines x+3y+3=0 and x-y-2=0.

A: Topic - angle between lines We will take absolute value of angle as sign depends Up on which line we…

Q: Find the value of X such that and are perpendicular

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Q: Find the angle between two lines whose direction cosines are given by l + m + n = 0 and 1² + m² - n²…

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Q: Determine the angle between the lines AB and AC delimited by the points A(4,3,2), B(6,1,-2),…

A: Step 1:  Step 2: Step 3: Step 4:

Q: 3. Find the best values of a, and a, if the line y=a₁x+a is fitted to the d (0,1),(2,5), (5,12),…

A: this is question  of geometry  here line equation  is given  and point are given we have to find…

Q: The distance d of a point P to the line through points A and B is the length of the component of AP…

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Q: Find the angle at which the circles x2 +y2 +x+y=0 and x2 +y2 +x-y=0 intersect.

A: The angle of intersection of the two circles is given by cosθ=r12+r22-C1C22r1r2where r1 and r2 are…