Find the equations of the normal x2+ y2 = 1 at the point (2, 1). A) x = 2y в) х+у31 c) 2x + 3y = 3 D) y = 2x

Q: 20) Write an equation of a line perpendicular to y = x - 5, that passes through the %3D point (4, 0)

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Q: What are the coordinates of P(23t/2)? А. (-1, 0) В. (1, 0) С. (0,1) D.(0,-1)

A: Solution

Q: Which equation has x-intercepts of (3, 0) and (7, 0)? O y = z + 10z + 21 O y = r- 10x + 21 O y = 12…

A: (3,0) and (7,0) satisfy the required equation

Q: Which of the points P = (-1,4,-7) and Q = (6,-1,5) is closest to the z-axis? OQ (6,-1,5) OQ (6,-1,0)…

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Q: Find the point on the line x - 3y+9 = 0 that is closest to the point (-1, 3). 1) (-0.9, 2.7) O 2)…

A: Closest distance form a point to a line is normal distance from point to line.

Q: Write an equation of the line parallel to AB that contains point C. AB: y = *+ 1: c0. 1) C(7, 1)

A: Since you have asked multiple questions in a single request, we would be answering only first…

Q: Find the Cross product of A= and B=

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Q: Find the cross product x where = 71-7j -4k and 7 = (-4,-3, 4). úxv=

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Q: Plot P(2, -4, 1) and Q(0, 3, 4) on the same set of coordinate axes

A: Given: plot P(2, -4, 1) and Q(0, 3, 4) .

Q: Find an equation of the line through (-2, 5, 3) that is perpendicular to both u = (1, 1, 2) and the…

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Q: Imeter) Y ( meter) POINT 1 1254,72 2951,76 2 1362,50 3205,13 3 1578,94 3713,80 4 1843,68 4335,92

A: A table of data is given, and the general equation of a line is y=ax+b. Here, a is the slope, and b…

Q: Find the equation y = f(x) passing through the points (-11-21), (1,15), (2,12) and (3, 3)? Find also…

A: We will use the Lagrange interpolation method. We have: x x0=-1 x1=1 x2=2 x3=3 y y0=-21 y1=15…

Q: 9) Find the equation of the straight line passing through the point of intersection of the two lines…

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Q: XIV. Give equation of straight line through point (1,3,-2) perpendicular to z = Зх-2y +4.

A: Given z=3x−2y+4 and point is x0,y0,z0=1,3,−2 We have to find the equation of straight line through…

Q: Determine whether u= (-1, 11) is a linear combination of x =(1,3) and y=(2,-1).

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Q: The line passes through the point (4,4) and is parallel to the line 3x-y=6

A: Given, equation of line and point

Q: Find the points of intersection of x = 4y and y = 4x. (ans.:(0,0),(16,64))

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Q: If A = ( - 1, 2) and B = (3, 4), find AB and redraw it (a) in standard position and(b) with its tail…

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