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

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Q: A line 4x + y = 1 through the point A(2, −7) meets the line BC whose equation is 3x - 4y + 1 = 0 at…

A: Let the equation of BC be 3x-4y+1=0      ....(1) and the equation of AB be 4x+y-1=0         ....(2)…

Q: Find the point at which the line (-3, 4, 2) +t(-4, 3, 1) intersects the plane -4x + y – 5z = 76.

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Q: Find the equation of the line passing through the point (7, 2) and perpendicular to the line 5y = 9…

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Q: Q4-Find the Cartesian equation of the line that passes through the point (-3, 2,-1) and is parallel…

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

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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

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Q: Another constraint you can use to compute cubic splines is that the second derivatives of adjoining…

A: Consider the cubic polynomial  fx=⋮ai-1x3+bi-1x2+ci-1x+di-1, x∈(xi-1,xi]aix3+bix2+cix+di…

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

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

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Q: Find an equation of the plane that contains the two parallel lines and x −1 y + 1 3 2 x + 3 y 4 3 2…

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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.