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

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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

D.

y= 2

We have,

On differentiating w.r.t x, we get

since the tangent is parallel to X- axis, therefore
dy/dx = 0
⇒ x3 = 8

⇒ x = 2 abd y =3

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′

120 Views

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)

128 Views

9.

If  then the values of a and b, are

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