RD Sharma Solutions Class 12 The Plane Exercise 29.12

RD Sharma Solutions for Class 12 Maths Chapter 29 The Plane Exercise 29.12 is provided here for students to prepare and excel in their exams. Our solution module employs numerous shortcut tips and illustrations to explain all the exercise problems in the most understandable language. Students are advised to practise the RD Sharma Class 12 Solutions regularly to achieve their desired scores. Download the solutions PDF for free from the links given below.

RD Sharma Solutions for Class 12 Maths Chapter 29 Exercise 12

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Access RD Sharma Solutions for Class 12 Maths Chapter 29 Exercise 12

EXERCISE 29.12

Q1.

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 29 - image 124

RD Sharma Solutions for Class 12 Maths Chapter 29 - image 125

RD Sharma Solutions for Class 12 Maths Chapter 29 - image 126

Q2.

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 29 - image 127

Any point on the line AB is the form:

– r + 3, r – 4, 6r – 5

Let p be the point of intersection of the line AB and the plane 2x + y + z = 7

Thus, we have,

2(– r + 3) + r – 4 + 6r – 5 = 7

– 2r + 6 + r – 4 + 6r – 5 = 7

5r = 10

r = 2

Now substitute the value of r in – r + 3, r – 4, 6r – 5, the coordinates of P are:

(– 2 + 3, 2 – 4, 12 – 5) = (1, – 2, 7).

Q3.

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 29 - image 128

RD Sharma Solutions for Class 12 Maths Chapter 29 - image 129

Q4.

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 29 - image 130

Q5.

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 29 - image 131

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