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Class 12 Maths Practice Test - Equation of a Line in Space
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Class 12 Maths Practice Test - Equation of a Line in Space
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10 Questions

1. Find the vector equation of the line which is passing through the point (1, -4, 4) and parallel to the vector \(2\hat{i}-5\hat{j}+2\hat{k}\).
2. Find the vector equation of a line passing through two points (-5,3,1) and (4,-3,2).
3. If a line is passing through two points \(A(x_1,y_1,z_1)\) and \(B(x_2,y_2,z_2)\) then which of the following is the vector equation of the line?
4. Find the vector equation of the line which is passing through the point (2,-3,5) and parallel to the vector \(3\hat{i}+4\hat{j}-2\hat{k}\).
5. Find the vector equation of a line passing through two points (1,0,4) and (6,-3,1).
6. Find the cartesian equation of a line passing through two points (1,-9,8) and (4,-1,6).
7. If the line is passing through the points \((x_1, y_1, z_1)\) and has direction cosines l, m, n of the line, then which of the following is the cartesian equation of the line?
8. If a line is passing through two points \(A(x_1,y_1,z_1)\) and \(B(x_2,y_2,z_2)\) then which of the following is the vector equation of the line?
9. Find the cartesian equation of a line passing through two points (8,-5,7) and (7,1,4).
10. If the line is passing through the points \((x_1, y_1, z_1)\) and has direction cosines l, m, n of the line, then which of the following is the cartesian equation of the line?

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