Rajasthan Board RBSE Class 11 Maths Chapter 10 Limits and Derivatives Miscellaneous Exercise Question 1. The value of is: (A) 1/3 (B) -1/3 (C) 1 (D) – 1 Solution: Hence, option (B) is correct. Question 2. The value of (A) 0 (B) ∞ (C) 1 (D) – 1 Solution: Hence, option (A) is correct. Question…
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Rajasthan Board RBSE Class 11 Maths Chapter 10 Limits and Derivatives Ex 10.3 Question 1. Find the derivative of x2 – 2 at x = 10. Solution: Let f(x) = x2 – 2 Question 2. Find the derivative of 49x at x = 50. Solution: Let f(x) = 49x Question 3. Find the derivative of…
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Rajasthan Board RBSE Class 11 Maths Chapter 10 Limits and Derivatives Ex 10.2 Question 1. Solution: Question 2. Solution: Question 3. Solution: Question 4. Solution: Question 5. Solution: Question 6. Solution: Question 7. Solution:
Rajasthan Board RBSE Class 11 Maths Chapter 10 Limits and Derivatives Ex 10.1 Question 1. Show that left and right limits of function at x = 1 are equal and their value is 1. Solution: From equation (i) and (ii) L.H.L. = R.H.L. ⇒ f(1 – 0) = f(1 + 0) = 1 Hence, left…
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Rajasthan Board RBSE Class 11 Maths Chapter 9 Logarithms Miscellaneous Exercise Question 1. log√2x = 4 then value of x will be : (A) 4√2 (B) (C) 4 (D) 4 x √2 Solution : ∵ loga n = x ∴ ax = n Given log√2x= 4 Then (√2)4 = x ⇒ x = (√2)4 =…
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Rajasthan Board RBSE Class 11 Maths Chapter 9 Logarithms Ex 9.4 Question 1. Find the antilog of the following numbers : (i) 1.3210 (ii) 2.4127 (iii) 0.084 (iv) .301 (v) .2462 (vi) .0258 Solution: (i) 1.3210 (a) Mantissa of given number is 0.3210. (b) Common number of row of 0.32 and column of 1, is…
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Rajasthan Board RBSE Class 11 Maths Chapter 9 Logarithms Ex 9.3 Question 1. Find the characteristic of logarithm of following numbers : (i) 1270 (ii) 20.125 (iii) 7.985 (iv) 431.5 (v) 0.02 (vi) 0.02539 (vii) 70 (viii) 0.000287 (ix) 0.005 (x) 0.00003208 (xi) 0.000485 (xii) 0.007 (xiii) 0.0005309 Solution: (i) Number 1270 is 4 digit…
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Rajasthan Board RBSE Class 11 Maths Chapter 9 Logarithms Ex 9.2 Question 1. Prove that: log 630 = log 2 + 2 log 3 + log 5 + log 7. Solution: L.H.S. = log 630 = log (2 x 3 x 3 x 5 x 7) = log (2 x 32 x 5 x 7)…
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Rajasthan Board RBSE Class 11 Maths Chapter 9 Logarithms Ex 9.1 (Q. 1 to 6) Write the following in logarithm form : Question 1. 26 = 64 Solution: Logarithm form of 26 = 64 is log2 64 = 6 Question 2. 104 = 10000 Solution: Logarithm form of 104 = 10000 is log1010000 = 4…
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Rajasthan Board RBSE Class 11 Maths Chapter 8 Sequence, Progression, and Series Miscellaneous Exercise Question 1. 10th term of series – 4, – 1, + 2, + 5, … is : (a) 23 (b) – 23 (c) 32 (d) – 32 Solution: -4, -1, + 2, + 5, … Here a = – 4 d…
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