DATE: NO. 1. Find cos & where is the angle between. the given planes. 2x-y+2z-3=0, 3x+2y-62-11=0 2. Find the equations in parametric form of the line of intersection of the given planes 3x+2y-2+50', 2x + y + 2z-3-0 3. Find the point of intersection of the given line and the given plane. 3x-4 +22 -5=0, X-1 = 411 - 2-1 2 3 -2 4. Find the distance from the given point to the given plane. (21-1), x-2y+ 2z+5=0

Q: Identify the center of the circle with the following equatic A) (-3, 5) C) (5, 3) (x – 5)² + (y +…

A: The equation of circle is given as x-52+y+32=36......(1)

Q: 12 Write an equation for circle O shown on the graph below. 5=6 Center (-1,2) EQ=15 x = (-1) ²…

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Q: +d. A e. f. the angle between vectors PQ and PR the area of the triangle with vertices at P, Q, and…

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Q: 2. [2у 2y° (2y – 60)° x° 2y°

A: In the given figure:                   2y°=2y° Opposite angles of a parallelogram are equal (or…

Q: 4z-9 w + 8 J 2z 3w H.

A: Given:

Q: The line joining two points A(2, 0) and B(3, 1) is rotated about A in anticlockwise direction…

A: The slope m of the line AB is given by        m1-03-2=1So,AB makes an angle of 45° with the…

Q: 1. Find the cosine value of the angle of the two planes ( 71 : 2x– y+ z+2= 0, x2 : x +2y+ z-5=0)

A: Given two planes,  π1 : 2x - y + z = -2 π2 : x + 2y + z = 5 To find the cosine value of the angle of…

Q: A circle has center (5, -4) and radius 8. Which gives the equation for the circle? O A. (K + 5)2 +…

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Q: D. (-1, C. 16 6. Determine the equation of a circle with center at (-4, 0) passes through the point…

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Q: What are the coordinates of the center C; and the measure of the radius r of a circle whose equation…

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Q: Reflect AB over the x-axis and rotate 90° about the origin.

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Q: There are three identical yellow books, two identical black books, and four identical orange books.…

A: The solution is given below:

Q: Let v = (-3,8) and there is a line m through (2, 5). a. Write the vector equation for the line if m…

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Q: 1. Find an equation of a line through the point (-1,4) making an angle of radian measure 1/4 with…

A: As per the guidelines I am answering only one question at a time. #1] Lets say slope of the other…

Q: 1. Find an equation of a line through the point (-1,4) making an angle of radian measure 1/4 with…

A: As per the guidelines I have solved first problem.

Q: 10 Point P and point W are the same distance away from the x-axis. The distance between these two…

A: Explanation of the answer is as follows

Q: The angle bisector at vertex B of AABC meets AC at D. If BC = 6, AC = 40 and CD= 15, find AB. Find…

A: a.  Given that angle bisector from vertex B meets AC in D. BC=6, AC=40, CD=15, AB=?…

Q: 2. Find the area of the triangle formed by the lines Sz + y – 14 = 0, z + 7y + 38 = 0, and 9z – 5y +…

A: First we find vertex of triangle by using given lines.

Q: 1. For cach point given below, plot the point and its image after a reflection in the named axi…

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