Question
For any real x, the expression 
cannot exceed
- 4K2
- 2K2
- 5K2
- none of these.
The correct answer is: 2K2
Let t = 
Hence 
cannot exceed 2K2.
Related Questions to study
The number of real roots of 
is
The number of real roots of is
If z1, z2, z3 are complex numbers such that∣z1∣=∣ z2 ∣=∣ z3 ∣=
, thus, ∣ z1 + z2 + z3 ∣ is
If z1, z2, z3 are complex numbers such that∣z1∣=∣ z2 ∣=∣ z3 ∣=, thus, ∣ z1 + z2 + z3 ∣ is
If the roots of the equation z2 + az + b = 0 are purely imaginary, then
If the roots of the equation z2 + az + b = 0 are purely imaginary, then
The cube roots of unity
The cube roots of unity
If z satisfies ∣ z − 1∣ < ∣ z + 3 ∣, then 
= 2z + 3 − i satisfies :
If z satisfies ∣ z − 1∣ < ∣ z + 3 ∣, then = 2z + 3 − i satisfies :
A(z1), B(z2) and C(z3) be the vertices of an equilateral triangle in the argand plane such that ∣z1∣ = ∣z2∣ = ∣z3∣. Then which of the following is false ?
A(z1), B(z2) and C(z3) be the vertices of an equilateral triangle in the argand plane such that ∣z1∣ = ∣z2∣ = ∣z3∣. Then which of the following is false ?
If the system of equations x-ky-z=0,kx-y-z=0,x+y-z=0 has a non-zero solution then the possible values of k are
For such questions, we should remember the requirement for non zero solution. We have to be careful when finding the determinant.
If the system of equations x-ky-z=0,kx-y-z=0,x+y-z=0 has a non-zero solution then the possible values of k are
For such questions, we should remember the requirement for non zero solution. We have to be careful when finding the determinant.
If 
then 
exists
Whenever we have to find the inverse of the matrix, we should check the determinant of the matrix. The determinant must be non zero for a inverse to exist.
If then exists
Whenever we have to find the inverse of the matrix, we should check the determinant of the matrix. The determinant must be non zero for a inverse to exist.
If 
etc., and 
etc. and 
then
If etc., and etc. and then
If 
and 
then value of 
for which 
is
For such questions, we should know how to multiply to matrices. When there is equal sign between two matrices, the elements of both the matrix should be equal.
If and then value of for which is
For such questions, we should know how to multiply to matrices. When there is equal sign between two matrices, the elements of both the matrix should be equal.
For the primitive integral equation 
then 
is
For such questions, we should know different method of differentiation and integration.
For the primitive integral equation then is
For such questions, we should know different method of differentiation and integration.
The differential equation of all circles which pass through the origin and whose centre lies on y-axis is
For such questions, we should know the equation of cricle with its centre at a point other than origin.
The differential equation of all circles which pass through the origin and whose centre lies on y-axis is
For such questions, we should know the equation of cricle with its centre at a point other than origin.
The differential equation of all parabolas whose axis are parallel to y-axis is
For such questions, we should know how to write the equation of a parabola. The axis of parabola can be parallel to x or y axis. So, we have to write the equation accordingly.
The differential equation of all parabolas whose axis are parallel to y-axis is
For such questions, we should know how to write the equation of a parabola. The axis of parabola can be parallel to x or y axis. So, we have to write the equation accordingly.
Solution of the differential equation 
is given by
When we get multipliction of two brackets equal to zero, any of the bracket can be zero or both of the brackets can be zero. It is decided based on the conditions in the equation.
Solution of the differential equation is given by
When we get multipliction of two brackets equal to zero, any of the bracket can be zero or both of the brackets can be zero. It is decided based on the conditions in the equation.
