RD Sharma Solutions Class 12 The Plane Exercise 29.5

RD Sharma Solutions for Class 12 Maths Chapter 29 The Plane Exercise 29.5, is given here for students to easily access the solutions. These solutions are completely based on the exam-oriented approach to help students score well in their board examination. Practising these questions will ensure that they can easily excel in their final exams. Here, the RD Sharma Solutions to this exercise are provided in pdf format, which can be downloaded easily from the links given below.

Download PDF of RD Sharma Solutions For Class 12 Maths Chapter 29 Exercise 5

 

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rd sharma solutions for class 12 maths chapter 29 ex 5 5

 

Access RD Sharma Solutions For Class 12 Maths Chapter 29 Exercise 5

EXERCISE 29.5

Q1.

Solution:

Given:

The plane passes through points,

(1, 1, 1), (1, -1, 1) and (-7, -3, -5)

So by using these points we know that equation of plane passes through these points,

RD Sharma Solutions for Class 12 Maths Chapter 29 - image 45

RD Sharma Solutions for Class 12 Maths Chapter 29 - image 46

Q2.

Solution:

Let us consider three points be P, Q and R.

So P(2, 5, -3), Q(-2, -3, 5) and R(5, 3, -3) are the points on the plane having position
RD Sharma Solutions for Class 12 Maths Chapter 29 - image 47
RD Sharma Solutions for Class 12 Maths Chapter 29 - image 48

Q3.

Solution:

Let us consider three points be A, B and C.

So A(a, 0, 0), B(0, b, 0) and C(0, 0, c) are the points on the plane having position vectors
RD Sharma Solutions for Class 12 Maths Chapter 29 - image 49.

Then vectors
RD Sharma Solutions for Class 12 Maths Chapter 29 - image 50are in the same plane.

RD Sharma Solutions for Class 12 Maths Chapter 29 - image 51

RD Sharma Solutions for Class 12 Maths Chapter 29 - image 52

RD Sharma Solutions for Class 12 Maths Chapter 29 - image 53

Q4.

Solution:

Let us consider three points be P, Q and R.

So P(1, 1, -1), Q(6, 4, -5) and R(-4, -2, 3) are the points on the plane having position vectors
RD Sharma Solutions for Class 12 Maths Chapter 29 - image 54.

Then the vectors
RD Sharma Solutions for Class 12 Maths Chapter 29 - image 55are in the same plane.

RD Sharma Solutions for Class 12 Maths Chapter 29 - image 56

RD Sharma Solutions for Class 12 Maths Chapter 29 - image 57

Q5.

Solution:

Let us consider three points be A, B and C.

So now let A, B, C be the points with position vector
RD Sharma Solutions for Class 12 Maths Chapter 29 - image 58.

Then,

RD Sharma Solutions for Class 12 Maths Chapter 29 - image 59

RD Sharma Solutions for Class 12 Maths Chapter 29 - image 60

RD Sharma Solutions for Class 12 Maths Chapter 29 - image 61

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