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Question 1
The minimum value of 
, 0 ≤ x ≤ 1 is
, 0 ≤ x ≤ 1 isQuestion 2
The maximum value of 
where 
is attained at
where is attained at
Question 3
Direction: Consider the following information for the next items that follow:
Three sides of a trapezium are each equal to 6 cm. Let 
be the angle between a pair of adjacent sides.
If the area of the trapezium is the maximum possible, then what is α equal to?
Question 4
Direction: Consider the following information for the next items that follow:
Three sides of a trapezium are each equal to 6 cm. Let be the angle between a pair of adjacent sides.
If the area of the trapezium is maximum, what is the length of the fourth side?
Question 5
In a bank principal increases at the rate 5% per annum. An amount of Rs. 1000 is deposited in the bank. How much will it worth after 10 years? (Given 
= 1.648)
= 1.648)
Question 6
Consider the following statements :
1) Derivative of 
may not exist at some point.
2) Derivative of 
may exist finitely at some point.
3) Derivative of 
may be infinite (geometrically) at some point.
Which of the above statements are correct?
Question 7
Let the slope of the curve y = cos-1 (sin x) be tan θ, Then the value of θ in the interval (0, π) is
Question 8
The differential equation of the family of curves y = p cos (ax) + q sin (ax), where p, q are arbitrary constant, is
Question 9
What is the order of the differential equation whose solution is y = a cos x + b sin x + ce-x + d, where a, b, c and d are arbitrary constants?
Question 10
What is the solution of the differential equation 
?
?
Where c is an arbitrary constant.
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Tags :
CDS & DefenceMathematicsJun 18CDS & Defence
