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Class 12 Maths Practice Test - Plane - Three Dimensional Geometry
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Avg score: 88% • Most missed: “Which of the following is not the correct formula for representing a plane?”

Related Test: Class 12 Maths Practice Test - Three Dimensional Geometry

Class 12 Maths Practice Test - Plane - Three Dimensional Geometry
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10 Questions

1. If the plane passes through three collinear points \((x_1,y_1,z_1),(x_2,y_2,z_2),(x_3,y_3,z_3)\) then which of the following is true?
2. Find the distance of the plane 3x+4y-5z-7=0.
3. Find the equation of the plane passing through the three points (2,2,0), (1,2,1), (-1,2,-2).
4. Find the equation of the plane passing through three points (1,2,-1), (0,-1,2) and (3,1,1).
5. Find the vector equation of the plane which is at a distance of \(\frac{7}{\sqrt{38}}\) from the origin and the normal vector from origin is \(2\hat{i}+3\hat{j}-5\hat{k}\)?
6. Find the Cartesian equation of the plane passing through the point (3,2,-3) and the normal to the plane is \(4\hat{i}-2\hat{j}+5\hat{k}\)?
7. Which of the following is not the correct formula for representing a plane?
8. Find the vector equation of the plane passing through the point (2,1,-1) and normal to the plane is \(2\hat{i}+\hat{j}-3\hat{k}\)?
9. Find the Cartesian equation of the plane \(\vec{r}.[(λ+2μ) \hat{i}+(2λ-μ) \hat{j}+(3λ-2μ)\hat{k}]\)=12.
10. Find the Cartesian equation of the plane \(\vec{r}.(2\hat{i}+\hat{j}-\hat{k})\)=4.

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