## G(x) = min(f(t)) and g(x)=max(f(t))

If and Then draw the graph of So lets draw the graph of \$latex ,  \$latex and   The graph of f(x) Now let’s draw the graph of g(x)

## Tangent To Parabola and Chord with Midpoint to Circle

All the tangent to the parabola whose slope lie in the interval R – are chords bisected by the line x=1to a circle  Equation of the circle is A) B) C) D)C)

## ‘0’ and ‘1’ only but no two consecutive Zero

Let  denote the number of all n-digit positive integers formed bt the digit ‘0’ and ‘1’ or both such that no consecutive digits in them are 0. Let  = the number of such n-digit integers ending with digit 1 and  = the number of such n-digit integers ending with digit 0 Which of the following is correct ? (A) (B)

## League Matches￼

In a league of 8 teams, every team played other team 10 times. The number of wins of the eight teams formed an arithmetic sequence. Find the least possible number of games won by the champion.

## Set of subsets of Three elements

If the number of ordered pairs (S, T) of subsets of {1, 2, 3, 4, 5, y} are such that S U T contains exactly 3 elements is 10k, then find the value of k

## Neither greater ‘k’ nor two consecutive integers

Find the number of non-empty subsets S of {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} search that no two consecutive integers belong to S and if S contains “k” elements then S contains no number less than ”k”

## One digit is average of the other two

Find the number of three digit numbers from 100 to 999 inclusive which have any one digit that is average of other two.