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XII Maths Sample Paper: Set 10
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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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