Let there be `ngeq3` circles in a plane. The value of `n` for which the number of radical centers is equal to the number of radical axes is (assume that all radical axes and radical centers exist and are different). a. `7` b. `6` c. `5` d. none of these

You are given n ( ge 3) circles having different radical axes and radical centres. The value of 'n' for which the number of radical axes is equal to the number of radical centres is

2nd idetical coins are arrangeed in a row and the number of ways in which the number of heads is equal to the nuber of tails is 70, then n= (A) 4 (B) 5 (C) 3 (D) none of these

Let L_(1),L_(2),L_(3) be three straight lines a plane and n be the number of circles touching all the lines . Find the value of n.

The number of possible outcomes in a throw of n ordinary dice in which at least one of the die shows and odd number is a. 6^n-1 b. 3^n-1 c. 6^n-3^n d. none of these

STATEMENT-1 : If n circles (n ge 3) , no two circles are non-centric and no three centre are collinear and number of radical centre is equal to number of radical axes, then n = 5. and STATEMENT-2 : If no three centres are collinear and no two circles are concentric, then number of radical centre is ""^(n)C_(3) and number of radical axs is ""^(n)C_(2).

Let f(x) = ax^(2)+bx+c where a,b,c are real numbers. If the numbers 2a ,a +b and c are all integers ,then the number of integral values between 1 and 5 that f(x) can takes is______

The total number of divisor of 480 that are of the form 4n+2,ngeq0, is equal to a. 2 b. 3 c. 4 d. none of these

Total number of six-digit number in which all and only odd digits appear is a. 5/2(6!) b. 6! c. 1/2(6!) d. none of these

There are 10 points in a plane of which no three points are collinear and four points are concyclic. The number of different circles that can be drawn through at least three points of these points is (A) 116 (B) 120 (C) 117 (D) none of these

The total number of five-digit numbers of different digits in which the digit in the middle is the largest is a. sum_(n_4)^9 (n) P_4 b. 33(3!) c. 30(3!) d. none of these