﻿ If  then the values of a and b, are | Limits and Derivatives

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# Limits and Derivatives

#### Multiple Choice Questions

1.
• π/2

• 1

301 Views

2.
• -1/4

• 1/2

• 1

• 1

188 Views

3.

The equation of the tangent to the curve y = x +4/x2, that is parallel to the x-axis, is

• y= 0

• y= 1

• y= 2

• y= 2

162 Views

4.

Let cos (α + β) = 4/5 and let sin (α - β) = 5/13, where 0 ≤α,β ≤ π/4. Then tan 2α is equal to

• 25/16

• 56/33

• 19/12

• 19/12

145 Views

5.
• 1/4

• 1/24

• 1/16

• 1/16

396 Views

6.

If 5(tan2x – cos2x) = 2cos 2x + 9, then the value of cos4x is

• -7/9

• -3/5

• 1/3

• 1/3

542 Views

7.

The differential equation which represents the family of curves y=c1ec2xe, where c1 and c2 are arbitrary constants, is

• y' =y2

•  y″ = y′ y

• yy″ = y′

• yy″ = y′

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8.

The solution of the differential equation    satisfying the condition y (1) = 1 is

• y = ln x + x

• y = x ln x + x2

•  y = xe(x−1)

•  y = xe(x−1)

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# 9.If  then the values of a and b, are

D.

117 Views

10.

For each t ∈R, let [t] be the greatest integer less than or equal to t. Then

• does not exist (in R)

• is equal to 0

• is equal to 15

• is equal to 120