Match the following
Column-I | Column-II |
(i) The order and degree of the differential equation are a and b then a + b is | [A] 13 |
(ii) If , and and is equal to , then x + y + z is equal to | [B] 102 |
(iii) The number of 4 digit numbers that can be made with the digits 1,2,3,4,3,2 | [C] 5 |
(iv) = where k is constant of integration, then 2a + b + c + d is (where a & b and a & c Are co-prime numbers) | [D] 7 |
Text Solution
Verified by Experts(i) [C]; (ii) [D]; (iii) [B]; (iv) [A]
Ans.
(i) [C]
(ii) [D]
(iii) [B]
(iv) [A]
Sol.
(i) Clearly order is 2 and degree is 3
∴ a + b = 5
(ii) 
= 
= 
∴ x + y + z = 7
(iii) Available digits are 1, 2, 2, 3, 3, 4
∴ Number of ways = 6 + 6 × 12 + 24 = 102
(iv) 
= 
= 
tan –1 x – 
tan –1 
+ k
∴ a = 1, b = 3, c = 6, d = 2
⇒ 2a + b + c + d = 13
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