JEE MATHS UNIT 11
QUIZ NO 1
TOTAL QUESTIONS = 20


1. The equation of a plane parallel to the xy-plane is


2. The distance of the point (2, 3, 6) from the origin is


3. The equation of a sphere with center (3, -2, 5) and radius 7 is


4. The shortest distance between the skew lines x/2 = y/3 = z/4 and x/1 = (y-2)/3 = (z+1)/6 is


5. The direction cosines of the line with direction ratios 3, -4, and 12 are


6. The equation of the plane passing through the point (1, 2, 3) and perpendicular to the vector (3, -4, 5) is


7. The angle between the planes x + 2y + 2z = 0 and x - y + z = 5 is


8. The distance of the point (1, -1, 2) from the plane 2x + y - 2z + 3 = 0 is


9. The parametric equations of a line passing through the point (2, -3, 5) and parallel to the vector (1, -2, 3) are


10. The vector equation of the plane passing through the point (4, -5, 6) and normal to the vector (2, 1, -3) is


11. The length of the perpendicular from the point (1, 2, 3) to the plane x + y + z - 6 = 0 is


12. The coordinates of the centroid of a tetrahedron formed by (0, 0, 0), (2, 0, 0), (0, 3, 0), and (0, 0, 4) are


13. The equation of the plane passing through the points (1, 0, 0), (0, 1, 0), and (0, 0, 1) is


14. The line x = 1 + t, y = 2t, z = 3 - t intersects the plane x + y + z = 7 at


15. The angle between two lines with direction ratios (2, -3, 1) and (1, 4, -2) is


16. The equation of the sphere with center (2, 3, -4) and radius 5 is


17. The volume of a tetrahedron formed by points (0, 0, 0), (1, 0, 0), (0, 1, 0), and (0, 0, 1) is


18. The equation of a line passing through (1, -2, 3) and parallel to the vector (2, -3, 1) is


19. The distance between the points (1, 2, 3) and (4, 5, 6) is


20. The equation of the plane passing through (3, -2, 5) and parallel to the vector (2, 4, 1) is



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