Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Three Dimensional Geometry

Short Answer Type

51. Find a vector equation of the line through the points A (3, 4, – 7) and B (1, – 1, 6).

103 Views

52. Find the vector equation for the line passing through the points (– 1, 0, 2) and (3, 4, 6).

73 Views

53. Find the vector and cartesian equations of the line that passes through the origin and (5,- 2, 3).

78 Views

54. Find the vector and the cartesian equations of the line that passes through the points (3, – 2, – 5), (3, – 2, 6).

91 Views

55. Find the vector equation of line joining the points whose vectors are

2 space straight i with hat on top minus straight j with hat on top plus straight k with hat on top space space and space straight i with hat on top space plus space 2 space straight j with hat on top space minus space 3 space straight k with hat on top.

78 Views

56. If the points (–1, 3, 2), (– 4, 2, –2) and (5, 5, λ) are collinear, then find the value of λ.

95 Views

Long Answer Type

57. Show that the points whose position vectors are given by

2 space straight i with hat on top space plus space straight j with hat on top space plus space 3 space straight k with hat on top comma space space minus space 4 space straight i with hat on top space plus space 3 space straight j with hat on top space minus space straight k with hat on top comma space space 5 space straight i with hat on top space plus space 5 space straight k with hat on top

are collinear.

121 Views

Short Answer Type

58.

Show that the point whose position vectors are given by $negative 2 space straight i with hat on top space plus space 3 space straight j with hat on top space plus space 5 space straight k with hat on top comma space space straight i with hat on top space plus space 2 space straight j with hat on top space plus space 3 space straight k with hat on top space space and space space 7 straight i with hat on top space minus space straight k with hat on top$ are collinear.