## 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)

Read moreAll 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)

Read moreLet 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)

Read moreIn 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.

Read moreIf 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

Read moreFind 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”

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

Read moreHow many 15 letter arrangements of 5 A’s, 5 B’s and 5 C’s have no A’s in first 5 letters, no B’s in next 5 letters and no C’s in lat 5 letters

Read moreWhat is the smallest positive integer with six positive odd integer divisors and twelve positive even integer divisors? So here is my solution

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