RBSE Solutions for Class 11 Maths Chapter 7 Binomial Theorem Ex 7.5

Rajasthan Board RBSE Class 11 Maths Chapter 7 Binomial Theorem Ex 7.5

Question 1.
If y is two small as compared to x, then prove

Solution:

Question 2.
If x is too small such that x² and higher powers are negligible then find the value of following expressions :

Solution:

Ignoring x² and terms of higher order

Question 3.
Find the value of:
(i) √3o upto 4 places of decimal
(ii) (1.03)^1/3 upto 4 places of decimal
(iii) \(\frac { 1 }{ { (8.16) }^{ 1/3 } } \) 4 places of decimal
(iv) Cube root of 126 upto 5 places of decimal
Solution :
(i) Value of √30 upto 4 places of decimal

= 6 (1 – 0 08333 – 0 – 00347 – 0 – 00029 + …]
= 6 (1 – 0 – 08709] = 6(0 – 91291]
= 5.47746 = 5- 4775 (upto four places).

(ii) Value of (1.03)^1/3 upto 4 places of decimal (1.03)^1/3= (1 + 0-03)^1/3



(iv) Value of cube root of 126 upto 5 places of decimal Cube root of 126

Question 4.
If x is approximately equal to 1, then prove that :

Solution:

Question 5.
If p and q are approximately equal, then Prove that

Solution:
∵ p and q are approximately equal
∴      p = q + h
where h is too small whose higher order terms can be neglected.

RBSE Solutions for Class 11 Maths