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RBSE Solutions for Class 12 Maths Chapter 4 सारणिक Ex 4.1

May 4, 2019 by Fazal Leave a Comment

RBSE Solutions for Class 12 Maths Chapter 4 सारणिक Ex 4.1 is part of RBSE Solutions for Class 12 Maths. Here we have given Rajasthan Board RBSE Class 12 Maths Chapter 4 सारणिक Exercise 4.1

Rajasthan Board RBSE Class 12 Maths Chapter 4 सारणिक Ex 4.1

प्रश्न 1.
k के किस मान के लिए सारणिक
RBSE Solutions for Class 12 Maths Chapter 4 Ex 4.1 1
शून्य होगा ?
हल :
RBSE Solutions for Class 12 Maths Chapter 4 Ex 4.1 2
– 3k – 8 = 0 ⇒ – 3k = 8 ⇒ k = \(-\frac { 8 }{ 3 }\)
अत: k = \(-\frac { 8 }{ 3 }\) के लिए सारणिक का मान शून्य होगा।

प्रश्न 2.
यदि
RBSE Solutions for Class 12 Maths Chapter 4 Ex 4.1 3
हो, तो x:y ज्ञात कीजिए।
हल :
हल :
RBSE Solutions for Class 12 Maths Chapter 4 Ex 4.1 4
(4 × x) – (2 × y) = 0
4x – 2y = 0
⇒ 4x = 2y
RBSE Solutions for Class 12 Maths Chapter 4 Ex 4.1 5
अत: x:y = 1:2

प्रश्न 3.
यदि
RBSE Solutions for Class 12 Maths Chapter 4 Ex 4.1 6
तथा
RBSE Solutions for Class 12 Maths Chapter 4 Ex 4.1 7
के मान ज्ञात कीजिए।
हल :
RBSE Solutions for Class 12 Maths Chapter 4 Ex 4.1 8
2 × x – 3 × y = 4
2x – 3y = 4 ….(i)
RBSE Solutions for Class 12 Maths Chapter 4 Ex 4.1 9

प्रश्न 4.
यदि
RBSE Solutions for Class 12 Maths Chapter 4 Ex 4.1 10
हो, तो x का मान ज्ञात कीजिए।
हल :
RBSE Solutions for Class 12 Maths Chapter 4 Ex 4.1 11
(x – 1) (x – 3) – (x – 2) = 0
x² – 3x – x + 3 – x² + 2x= 0
– 2x + 3 == 0
– 2x = – 3
अतः x = 3/2

प्रश्न 5.
निम्न सारणिकों में प्रथम स्तम्भ के अवयवों की उपसारणिक एवं सहखण्डज लिखकर उसका मान भी ज्ञात कीजिए—
RBSE Solutions for Class 12 Maths Chapter 4 Ex 4.1 12
हल :
RBSE Solutions for Class 12 Maths Chapter 4 Ex 4.1 13
RBSE Solutions for Class 12 Maths Chapter 4 Ex 4.1 14
RBSE Solutions for Class 12 Maths Chapter 4 Ex 4.1 15

प्रश्न 6.
सारणिक
RBSE Solutions for Class 12 Maths Chapter 4 Ex 4.1 16
का मान ज्ञात कीजिए।
हल :
यहाँ द्वितीय पंक्ति में दो शून्य हैं; अत: द्वितीय पंक्ति के सापेक्ष प्रसार करने पर,
RBSE Solutions for Class 12 Maths Chapter 4 Ex 4.1 17
= – 5 (0 – 3)
= – 5 × (-3)
= 15

प्रश्न 7.
सिद्ध कीजिए
RBSE Solutions for Class 12 Maths Chapter 4 Ex 4.1 18
हल :
प्रथम पंक्ति के सापेक्ष प्रसार करने पर,
RBSE Solutions for Class 12 Maths Chapter 4 Ex 4.1 19
= 1 + c² + a² – abc + abc + b²
= 1 + a² + b² + c²
= R H.S.
इति सिद्धम्

We hope the given RBSE Solutions for Class 12 Maths Chapter 4 सारणिक Ex 4.1 will help you. If you have any query regarding RBSE Solutions for Class 12 Maths Chapter 4 सारणिक Ex 4.1, drop a comment below and we will get back to you at the earliest.

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