NCERT solution Class 12 three dimensional geometry

NCERT Solutions

Class 12 Maths

Three Dimensional Geometry

NCERT Questions

Ex.11.1 Q.1
Ex.11.1 Q.2
Ex.11.1 Q.3
Ex.11.1 Q.4
Ex.11.1 Q.5
Ex.11.2 Q.1
Ex.11.2 Q.2
Ex.11.2 Q.3
Ex.11.2 Q.4
Ex.11.2 Q.5
Ex.11.2 Q.6
Ex.11.2 Q.7
Ex.11.2 Q.8
Ex.11.2 Q.9
Ex.11.2 Q.11
Ex.11.2 Q.11
Ex.11.2 Q.12
Ex.11.2 Q.13
Ex.11.2 Q.14
Ex.11.2 Q.15
Ex.11.2 Q.16
Ex.11.2 Q.17
Ex.11.3 Q.1
Ex.11.3 Q.2
Ex.11.3 Q.3
Ex.11.3 Q.4
Ex.11.3 Q.5
Ex.11.3 Q.6
Ex.11.3 Q.7
Ex.11.3 Q.8
Ex.11.3 Q.9
Ex.11.3 Q.10
Ex.11.3 Q.11
Ex.11.3 Q.12
Ex.11.3 Q.13
Ex.11.3 Q.14
Ex.Misc. Q.1
Ex.Misc.Q.2
Ex.Misc.Q.3
Ex.Misc.Q.4
Ex.Misc.Q.5
Ex.Misc.Q.6
Ex.Misc.Q.7
Ex.Misc.Q.8
Ex.Misc.Q.9
Ex.Misc.Q.10
Ex.Misc.Q.11
Ex.Misc.Q.12
Ex.Misc.Q13
Ex.Misc.Q.14
Ex.Misc.Q.15
Ex.Misc.Q.16
Ex.Misc.Q.17
Ex.Misc.Q.18
Ex.Misc.Q.19
Ex.Misc.Q.20
Ex.Misc.Q.21
Ex.Misc.Q.22
Ex.Misc.Q.23

Ex.Misc.Q.14

If the points (1, 1, p) and (−3, 0, 1) be equidistant from the plane r.(3i + 4j – 12k) + 13 = 0, then find the value of p.

The position vector through the point (1, 1, p) is a₁ = i + j + pk

Similarly, the position vector through the point (−3, 0, 1) is a₁ = -4i + k

The equation of the given plane is r.(3i + 4j – 12k) + 13 = 0

It is known that the perpendicular distance between a point whose position vector is a

and the plane r.N = d is given by D =

Here, N = 3i + 4j – 12k and d = -13

Therefore, the distance between the point (1, 1, p) and the given plane is

D₁ =

D₁ = ……….1

Similarly, the distance between the point (−3, 0, 1) and the given plane is

D₂ =

D₂ = ……….2

It is given that the distance between the required plane and the points, (1, 1, p) and (−3, 0, 1), is equal.

So, D₁ = D₂

=> 20 – 12p = 8 or –(20 – 12p) = 8

=> 12p = 12 or 12p = 28

=> p = 1 or p =

Three Dimensional Geometry Class 12 Maths NCERT Chapter 11 NCERT Solutions

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NCERT solutions of Three Dimensional Geometry Class 12 Maths - all questions of all exercises are solved. Q. No. 1, 2, 3, and so on. Complete explanation and detailed solution makes them the best videos for Class 12 Maths Three Dimensional Geometry NCERT solutions.