:: Find the y-coordinate of the point on the plane x+ 6y + 7z = 3 that is closest to the point (-14, 21, 9). (A) 16 (B) 12 (C) 13 (D) 10 (E) 14 (F) 15 (G) 11 (H) 9

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: Is the point (2,12) on the line y =5x-2

A: If point satisfied line equation then lie on line otherwise not

Q: (1,6) and perpendicular to 2x+7y=1

A:

Q: (4D4 - 4D3 - 3D2 - 2D + 1)y = 0

A: We have to solve the given equation.

Q: Find all the possible points of intersections of 9x2 + 4y2 + 18x – 16y = 0 and (x + 1)2 + (y– 2)² =…

A: Given curves: 9x2+4y2+18x-16y=0   ········(i)x+12+y-22=5         ········(ii) From equation (ii)…

Q: The distance from (-3,-4,-7) to the xz-plane is (A) -4 (B) (C) -3 (D) 3 (E) 4.

A:

Q: a) (2, - 3) and (2, 5) b) (3, - 2) and (-7, - 2) Find the distance between each pair of points: c)…

A: since you have posted multiple questions so we solve the first three for you, to get the remaining…

Q: Find the missing value in the coordinate points: (2, -1) (x,3) & (11, 11) whose line is a collinear

A:

Q: A point R(3, k) lies on the straight line joining P(4, 10) and Q(1, -2). Find the value of k.

A:

Q: How would i determine whether the three points are collinear?   (0,-7), (-3,-21), (2,3)

A:

Q: What is the center of x² + y² – 6x = -4y + 68?

A: given equation of circle  x2 +y2-6x=-4y+68  x2+y2-6x+4y-68=0 Now compare with x2+y2+2gx+2fy+c=0…

Q: Draw a picture of Cay({2, 5}:Z8).

A: Given,            Cay2, 5 : Z8.

Q: Find the intersection of the line and plane: 3z (2x + y) = -5, P = ( r(t) = (3,-1,0) + t (-3, -2,…

A: Given line : r(t)= (3,-1,0)+t(-3,-2,-1) Given plane : 3z-(2x+y)=-5                       2x+y-3z-5=0…

Q: A water trough has an isosceles triangular cross section that is 55 m across the top and 12 m deep.…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: A point P(x, y) moves so that the sum of the squares of its distances from points A(0,0)and B(2,-4)…

A: Given,           A point P(x, y) moves so that the sum of the squares of its distances from points…

Q: 19) Find the distance between these two points. (-8, 5) and (15, -9) Use the formula: d = square…

A:

Q: The graph of y=-3x + 19 passes through (1, -8a) in the standard (x, y) coordinate plane. What is the…

A: