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Class 12 Maths Practice Test - Angle between a Line and a Plane
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Avg score: 72% • Most missed: “A plane and a line having an angle of 90 degrees between them are called _____”

Related Test: Class 12 Maths Practice Test - Angle between Two Planes

Class 12 Maths Practice Test - Angle between a Line and a Plane
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15 Questions

1. Find the angle between the planes 5x + 2y + 3z + 1 = 0 and (1, 1, -2).
2. If θ is the angle between line whose ratios are a1, b1, c1 and the plane ax + by + cz + d = 0 then
cos θ=\(\frac {a1a2.b1b2.c1c2}{\sqrt {a1^2+b1^2+c1^2} \sqrt {a2^2+b2^2+c2^2 }}\).
3. Which trigonometric function is used to find the angle between a line and a plane?
4. Find the angle between the planes 5x + 2y + 3z + 1 = 0 and (1, 1, -2).
5. _____ is the complement of the angle between the line L and a normal line to the plane π.
6. Find the angle between x + 2y + 7z + 2 = 0 and (2, 4, 6).
7. The condition a1a + b1b + c1c = 0 is for a plane and a line are _____ to each other.
8. Find k for the given plane x + 2y + kz + 2 = 0 and directional ratios of a line (8, 3, 2), if they are parallel to each other.
9. The plane 5x + y + kz + 1 = 0 and directional ratios of a line (3, -1, 1) are parallel, find k.
10. The plane 5x + y + kz + 1 = 0 and directional ratios of a line (3, -1, 1) are parallel, find k.
11. Find the angle between the planes x + 2y + 3z + 1 = 0 and (4, 1, -7).
12. What is the plane equation involved in the formula sinθ=\(\frac {a1a+b1b+c1c}{\sqrt {a^2+b^2+c^2} \sqrt{a1^2+b1^2+c1^2 }}\)?
13. A plane and a line having an angle of 90 degrees between them are called _____
14. Which trigonometric function is used to find the angle between a line and a plane?
15. What is the relation between the plane ax + by + cz + d = 0 and a1, b1, c1 the direction ratios of a line, if the plane and line are parallel to each other?

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