Q. The maximum value of is equal to:

KEAM KEAM 2003 Report Error

Solution:

By Simpson rule taking , the value of the integral is equal toLet On differentiating w.r.t. we get Put for maxima or minima Now, and Function is maximum at .

Questions from KEAM 2003

1. The number of terms in the expansion of is:

2. For what value of the system of equations is consistent?

3. Let be twice differentiable such that where and represent the first and second derivatives of respectively. Also, if and then is equal to:

4. A straight line through P (1, 2) is such that its intercept between the axes is bisected at P. Its equation is:

5. The radius of any circle touching the lines and is:

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