Applications of...

This section contains some integer type questions. The answers to each of the questions is a single – digit integer, ranging from 0 to 9
Let p(x) be real polynomial of least degree which has a local maximum at x = 1 and a local minimum at x = 3. If p(1) = 6 and p(3) = 2, then p’(0) is

In the section each question has some statements (A, B,C,D,…) given in Colum – I and some statements (p,q,r,s,t,…) in column – II. Any given statement is column – I can have correct matching with ONE OR MORE statement(s) in column – II for example, if for a given questions, statement B matches with the statements given in q and r, then for that particular question against statement B, darken the bubbles corresponding to q and r in the ORS. i.e., answer r will be q and r
Match that statements given in Column – I with the intervals/union of intervals given in Column – II

In the section each question has some statements (A, B,C,D,…) given in Column– I and some statements (p,q,r,s,t,…) in column – II. Any given statement is column – I can have correct matching with ONE OR MORE statement(s) in column – II for example, if for a given questions, statement B matches with the statements given in q and r, then for that particular question against statement B, darken the bubbles corresponding to q and r in the ORS. i.e., answer r will be q and r
Match that statements given in Column – I with the intervals/union of intervals given in Column – II

In the section each question has some statements (A, B,C,D,…) given in Colum – I and some statements (p,q,r,s,t,…) in column – II. Any given statement is column – I can have correct matching with ONE OR MORE statement(s) in column – II for example, if for a given questions, statement B matches with the statements given in q and r, then for that particular question against statement B, darken the bubbles corresponding to q and r in the ORS. i.e., answer r will be q and r
In the following [x] denotes the greatest integer less than or equal to x. Match the functions in Column – I with the properties in column – II

In the section each question has some statements (A, B,C,D,…) given in Colum – I and some statements (p,q,r,s,t,…) in column – II. Any given statement is column – I can have correct matching with ONE OR MORE statement(s) in column – II for example, if for a given questions, statement B matches with the statements given in q and r, then for that particular question against statement B, darken the bubbles corresponding to q and r in the ORS. i.e., answer r will be q and r

The value of the function (x – 1)(x – 2)² at its maxima is

The maximum and minimum values of the function |sin 4x + 3| are

Local maximum and local minimum values of the function (x – 1)(x + 2)² are

The function x⁵ – 5x⁴ + 5x³ – 10 has a maximum where x =

The minimum value 4e^2x + 9e^–2x is