Let a be the plane containing the line Sy-z-2=0 | 2x + z = 0 and the point (0, 1,0). Which of the following statements is true? O (a) In the cartesian equation of a, the constant term is equal to zero. O (b) in the cartesian equation of a, both the z-coefficient and the y-coefficient are equal to zero. O (c) In the cartesian equation of a, the x-coefficient is equal to zero. O (d) In the cartesian equation of a, the z-coefficient is equal to zero. 040 s282412 1040 282412 01040 s282412 p1040 s282412 040 s28

Q: Find an equation of a plane containing the line r (-3, -3, -5)+t(4, 4, -2) which is parallel to the…

A: A plane containing the line r=-3, -3, -5+t4, 4, -2 which is parallel to the plane -2x+y-2z=8. We…

Q: Find an equation for the line in the form ax + by = c, where a, b, and c are integers with no factor…

A:

Q: Find an equation (in standard form and in general form) of the plane containing the points (2, 1,…

A:

Q: d an equation for the plane that passes through the origin and is perpendicular to the line (t) =…

A:

Q: A city is described parametrically by the equation r = (ai + bj+ck) + svi + tv₂ where v₁ = 3i+j+ k…

A:

Q: 2n are 3 2. The rectangular coordinates of the point | –6,– (A) (-3,3\3) (B) (3V3,-3) (C) (-33 ,3) •…

A: We have been given a point in polar coordinates as ( -6, 2π/3). We are required to convert it into…

Q: Find an equation of the plane containing the line (x − 3) = −(y + 5) = −(z+2) and the point (5, 0,…

A:

Q: 2. Write the symmetric equation of a line through the points (0, 2,8) and (3,-3, 4). Find where this…

A:

Q: O Find an equation for the plane through the point P = (3, −2, 4) that is perpendicular to the line…

A: Given problem:- Find an equation for the plane through the point P = (3, -2, 4) that is…

Q: The third question: Let (1-, 1-, 1-) Q be a point in space and let us have the line L whose equation…

A: Let the equation of the plane passing through the point Q-1,-1,-1 be ax+1+by+1+cz+1=0…

Q: (222) Determine the x-, y- and z-intercepts of the plane 3x-8y-8z +24=0

A:

Q: 4. Find an equation of the plane containing the line (x-3) = -(y + 5) = -(z + 2) and the point (5,…

A:

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…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.