# Maths

Maths
| Chapter 10: Differential Calculus Differentiability and Methods of Differentiation | | Chapter 12: Introduction to probability theory | | Chapter 11: Integral Calculus | | Chapter 9: Differential Calculus Limits and Continuity | | Chapter 8: Vector Algebra I | | Chapter 7: Matrices and Determinants | | Chapter 6: Two Dimensional Analytical Geometry | | Chapter 5: Binomial Theorem, Sequences And Series | | Chapter 4: Combinatorics and Mathematical Induction | | Chapter 3: Trigonometry | | Chapter 2: Basic Algebra | | Chapter 1: Sets, Relations and Functions |
Q.1
If y = 1/ a − z , then dz/ dy is
A. (a − z)2
B. −( z − a)2
C. (z + a)2
D. − ( z + a)2
Explaination / Solution:
No Explaination.

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Q.2
If pv = 81, then dp/dv at v = 9 is
A. 1
B. - 1
C. 2
D. -2
Explaination / Solution:
No Explaination.

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Q.3
Four persons are selected at random from a group of 3 men, 2 women and 4 children. The probability that exactly two of them are children is
A. 3/4
B. 10/23
C. 1/2
D. 10/21
Explaination / Solution:
No Explaination.

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Q.4
If A and B are two events such that A ⊂ B and P (B) ≠0, then which of the following is correct?
A. P ( A / B) = P ( A) / P ( B)
B. P ( A / B ) < P( A)
C. P ( A / B ) ≥ P( A)
D. P ( A / B ) > P(B)
Explaination / Solution:
No Explaination.

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Q.5
It is given that the events A and B are such that P( A) = 1/4 , P ( A / B) = 1/2 and P ( B / A) = 2/3 . Then P(B) is
A. 1/6
B. 1/3
C. 2/3
D. 1/2
Explaination / Solution:
No Explaination.

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Q.6
is
A. tan x + c
B. 2tan x + c
C. ½ tan x + c
D. ¼ tan x + c
Explaination / Solution:
No Explaination.

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Q.7
is
A. [1-x2] + sin−1 x + c
B. sin−1 x[1-x2] + c
C. log | x + [1-x2] | − [1-x2] + c
D. [1-x2] + log | x + [1-x2] | +c
Explaination / Solution:
No Explaination.

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Q.8

A. 1
B. 0
C.
D. −∞
Explaination / Solution:
No Explaination.

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Q.9
Let the function f be defined by f (x)=  , then
A.
B.
C.
D.
Explaination / Solution:
No Explaination.

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Q.10
At x = 3/2 the function f ( x) = | 2x -3 | / 2x -3 is
A. continuous
B. discontinuous
C. differentiable
D. non-zero