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 access the solutions easily. These solutions are completely based on the exam-oriented approach to help students score well in their board examinations. 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.

RD Sharma Solutions for Class 12 Maths Chapter 29 Exercise 5

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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 the equation of the plane that passes through these points,

Q2.

Solution:

Let us consider three points 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

Q3.

Solution:

Let us consider three points 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
.

Then vectors
are in the same plane.

Q4.

Solution:

Let us consider three points 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
.

Then the vectors
are in the same plane.

Q5.

Solution:

Let us consider three points A, B and C.

So now let A, B, C be the points with position vector
.

Then,