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XII Maths Sample Paper: Set 10
  Maths Sample Paper with Solutions Instructions 1. Questions 1 to 10 carry 1 mark each.2. Questions 11 to 22 carry 4 marks each.3. Questions 23 to 29 carry 6 marks each. 1. Evaluate: Sol. Let I  = Taking x as first function and sin 3x as second function and integrating by parts, we obtain 2. Find the principal value of tan−1 (−1). ...

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XII Maths Sample Paper: Set 9
Maths 12 Sample Papers with Solutions Instructions 1. Questions 1 to 10 carry 1 mark each.2. Questions 11 to 22 carry 4 marks each.3. Questions 23 to 29 carry 6 marks each. 1. If f(x) = x + 7 and g(x) = x − 7, x ∈ R, find (fog) (7). Sol. 2. Evaluate: Sol. Let log x = t ...(1) Differentiating both sides: 3. If a, ...

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XII Maths Sample Paper: Set 8
Solved Sample Paper of Maths for Class 12 Instructions 1. Questions 1 to 10 carry 1 mark each.2. Questions 11 to 22 carry 4 marks each.3. Questions 23 to 29 carry 6 marks each. 1. If the binary operation * on the set of integers Z , is defined by a * b = a + 3b2 , then find the value of 2 * 4. Sol. a * b = a + 3b2=> 2 * 4 = 2 + 3(4)2         &n...

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XII Maths Sample Paper: Set 7
Class 12 Maths with Solutions Instructions 1. Questions 1 to 10 carry 1 mark each.2. Questions 11 to 22 carry 4 marks each.3. Questions 23 to 29 carry 6 marks each. 1. Find anti derivative of (ax + b)2. Sol. The anti deruvative of (ax + b)2 is the function of x whose derivative is (ax + b)2.It is known that, Therefore the anti derivative of (ax + b)2 is 2. Solve Sol.      ...

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XII Maths Sample Paper: Set 6
CBSE XII Maths Sample Questions with Answers Instructions 1. Questions 1 to 10 carry 1 mark each.2. Questions 11 to 22 carry 4 marks each.3. Questions 23 to 29 carry 6 marks each. 1. Find the directions cosines of x, y and z axis. Sol. direction cosines of x-axis = 1,0,0 direction cosines of y-axis = 0,1,0 direction cosines of z-axis = 0,0,1. 2. Show that the function f: R → R given ...

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XII Maths Sample Paper: Set 5
12th Maths Paper with Solutions Instructions 1. Questions 1 to 10 carry 1 mark each.2. Questions 11 to 22 carry 4 marks each.3. Questions 23 to 29 carry 6 marks each. 1. Find the value of x and y if : Sol. On comparing the respective elements of the matrices on both sides, we get:Thus, the value of both x and y is 3. 2. Solve : sin(tan&...

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XII Maths Sample Paper: Set 4
12 Class Mathematics Sample Paper with Solutions   Instructions 1. Questions 1 to 10 carry 1 mark each.2. Questions 11 to 22 carry 4 marks each.3. Questions 23 to 29 carry 6 marks each. 1. Evaluate: Sol. Let I  = Taking x as first function and sin 3x as second function and integrating by parts, we obtain 2. Assume X, Y, Z, W and P...

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XII Maths Sample Paper: Set 3
12 Class Maths with Solutions   Instructions 1. Questions 1 to 10 carry 1 mark each.2. Questions 11 to 22 carry 4 marks each.3. Questions 23 to 29 carry 6 marks each. 1. Find gof and fog, if Sol. 2. Find anti derivative of (ax + b)2. Sol. The anti deruvative of (ax + b)2 is the function of x whose derivative is (ax + b)2.It is known that, Therefore the anti derivative ...

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XII Maths Sample Paper: Set 2
XII Mathematics Questions & Solutions Instructions 1. Questions 1 to 10 carry 1 mark each.2. Questions 11 to 22 carry 4 marks each.3. Questions 23 to 29 carry 6 marks each. 1. Differentiate the function with respect to x. Sol. 2. Find the value of . Sol. 3. Let A be a nonsingular square matrix of order 3 × 3. Then find  Sol. We know that, 4. Find the ...

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XII Maths Sample Paper: Set 1
Solved Maths Question Paper For Class 12   1 mark questions: 1. Show that the relation R in the set R of real numbers, defined as R = {(a, b): a ≤ b2} is  not   transitive. Ans. R = {(a, b): a ≤ b2}         Now,         (3, 2), (2, 1.5) ∈ R ...

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