Let f and g be differentiable functions satisfying g′(a) = 2, g(a) = b and fog = I (identity function). Then f ′(b) is equal to

• 1/2

• 2

• 2/3

• 2/3

• e

• e+1

• e-1
• e-1

If 

• (sinα, cosα)

• (cosα, sinα)

• (- sinα, cosα)

• (- sinα, cosα)

55.

The value of 

• 28/7

• 28/3

• 7/3

• 7/3

The value of 

• 0

• 1

• 2

• 2

If

• 0

• π

• π/2

• π/2

If  then the value of I₂/I₁ is

• 2

• -2

• 1

• 1

The area of the region bounded by the curves y = |x – 2|, x = 1, x = 3 and the x-axis is

• 1

• 2

• 3

• 3

Let A (2, –3) and B(–2, 1) be vertices of a triangle ABC. If the centroid of this triangle moves on the line 2x + 3y = 1, then the locus of the vertex C is the line

• 2x + 3y = 9

• 2x – 3y = 7

• 3x + 2y = 5

• 3x + 2y = 5