If x is real, the maximum value of 

• 1/4

• 41

• 1

• 17/7

B.

41

The function  has a local minimum at

• x = 2

• x = −2

• x = 0

• x=1

A.

x = 2

& equality holds for x = 1

The line L₁: y = x = 0 and L₂: 2x + y = 0 intersect the line L₃: y + 2 = 0 at P and Q respectively. The bisectorof the acute angle between L₁ and L₂ intersects L₃ at R.
Statement-1: The ratio PR: RQ equals 2√2:√5
Statement-2: In any triangle, the bisector of an angle divides the triangle into two similar triangles.

• Statement-1 is true, Statement-2 is true ; Statement-2 is correct explanation for Statement-1

• Statement-1 is true, Statement-2 is true ; Statement-2 is not a correct explanation for Statement-1

• Statement-1 is true, Statement-2 is false

• Statement-1 is false, Statement-2 is true

C.

Statement-1 is true, Statement-2 is false

∴ AD : DB = 2√2:√5
∴ OD is angle bisector of angle AOB
∴ Statement: 1 true
Statement : 2 false