Ask The
Experts
|
Time allowed : 3 hours |
Maximum Marks : 100 |
General
Instructions :
- The question paper consists of three sections A, B and C.
Section A is compulsory for all students. In addition to Section A,
every student has to attempt either Section B
OR Section C.
- For Section A
Question numbers 1 to 8 are of 3 marks each.
Question numbers 9 to 15 are of 4 marks each.
Question numbers 16 to 18 are of 6 marks each.
- For Section B/Section C
Question numbers 19 to 22 are of 3 marks each.
Question numbers 23 to 25 are of 4 marks each.
Question number 26 is of 6 marks.
- All questions are compulsory.
- Internal choices have been provided in some questions. You have
to attempt only one of the choices in such questions.
- Use of calculator is not permitted. However, you may ask for
logarithmic and statistical tables, if required.
|
QUESTION PAPER CODE 65/1/1
Section - A |
- If
 , prove that  .
- Show that
where a, b, c are in A.P.
- In a single throw of three dice, determine the probability of
getting (a) a total of 5, (b) a total of at most 5.
- A class consists of 10 boys and 8 girls. Three students are
selected at random. Find the probability that the selected group
has
(i) all boys,
(ii) all girls,
(iii) 2 boys and 1 girl.
- Evaluate :
- Evaluate:
- Form the differential equation representing the family of
curves
 ,
where a is an arbitrary constant.
- Solve the following differential equation :
 
or
Solve the following differential equation :
- Prove that :
 
or
Test the validity of the following argument :
- Evaluate :
 
or
Evaluate:
![\frac{x[1-\sqrt{1-x^2}]}{\sqrt{1-x^2}(\sin^{-1})^3}](http://texhub.com/b/XGZyYWN7eFsxLVxzcXJ0ezEteF4yfV19e1xzcXJ0ezEteF4yfShcc2luXnst%0AMX0pXjN9 "\frac{x[1-\sqrt{1-x^2}]}{\sqrt{1-x^2}(\sin^{-1})^3}")
|
Click Here for Complete Question
Paper
Ask The
Experts
