CBSE [All India]_XII_Mathematics_2005_Set I
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Q1Marks:3
Answer:
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Q2
Using properties of determinants, solve for x:
Marks:3Answer:
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Q3
An integer is chosen at random from the first 200 positive integers. Find the probability that it is divisible by 6 or 8. Marks:3Answer:
No longer in CBSE class 12th syllabus.
Let event A: Integer divisible by 6
event B: Integer divisible by 8 Then n(A)=33, n(B)=25 and n(A B)=8
P(divisible by 6 or 8)= P(A)+P(B)–P(A B)
=33/200 +25/200-8/200
=50/200 = 1/4
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Q4
X is taking up subjects-Mathematics, Physics and Chemistry in the examination, His probability of getting Grade A in these subjects are 0.2, 0.3, and 0.5 respectively. Find the probability that he gets: (i) grade A in all subjects. (ii) grade A in no subject. (iii) grade A in two subjects. Marks:3Answer:
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Q5
Evaluate Marks:3Answer:
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Q6Marks:3
Answer:
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Q7
Solve the following differential equation:
Marks:3Answer:
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Q8
Solve the following differential equation:
Marks:3Answer:
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Q9
Solve the following differential equation: Marks:3Answer:
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Q10Marks:3
Answer: