191.In the following cases, determine whether the given planes are parallel or perpendicular, and in case they are neither, find the angles between them: 2x + y + 3z – 2 = 0 and x – 2y + 5 = 0
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192.In the following cases, determine whether the given planes are parallel or perpendicular, and in case they are neither, find the angles between them: 2x – 2y + 4z + 5 = 0 and 3x – 3y + 6z – 1 = 0
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193.In the following cases, determine whether the given planes are parallel or perpendicular, and in case they are neither, find the angles between them: 2x – y + 3z – 1 = 0 and 2x – y + 3z + 3 = 0
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194.In the following cases, determine whether the given planes are parallel or perpendicular, and in case they are neither, find the angles between them: 4x + 8y + z – 8 = 0 and y + z – 4 = 0
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195.Find the equation of the plane which bisects the line joining the points (–1, 2, 3) and (3, – 5 6) at right angles.
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196.Find the equation of the plane through the intersection of the planes x + y + z = 9 and 2 x + 3 y + 4 z + 5 = 0 and passing through the point (1, 1, 1).
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Long Answer Type
197.Find the equation of plane passing through origin and intersection of planes 2x – 3y + z = 9, x – y + z = 4
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Short Answer Type
198.Find the equation of the plane through the intersection of the planes 3x – y + 2 z – 4 = 0 and x + y + z – 2 = 0 and the point (2, 2, 1).
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199.Find the equation of the plane passing through the point (– 1, – 1, 2) and perpendicular to each of the following planes: 2x + 3y – 3 = 2 and 5x – 4y + z = 6.
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Long Answer Type
200.Find the direction ratios of the normal to the plane passing through the point (2,1, 3) and the line of intersection of the planes x + 2 y + z = 3 and 2 x – y – z = 5.
Short Answer Type
Long Answer Type
