If `\ ^m C_1=\ \ ^n C_2` then which is correct a. `2m=n` b. `2m=n(n+1)` c. `2m=(n-1)` d. `2n=m(m-1)`

Consider a point A(m,n) , where m and n are positve intergers. B is the reflection of A in the line y=x , C is the reflaction of B in the y axis, D is the reflection of C in the x axis and E is the reflection of D is the y axis. The area of the pentagon ABCDE is a. 2m (m+n) b. m (m+3n) c. m(2m+3n) d. 2m(m+3n)

Straight lines are drawn by joining m points on a straight line of n points on another line. Then excluding the given points, the number of point of intersections of the lines drawn is (no tow lines drawn are parallel and no these lines are concurrent). a. 4m n(m-1)(n-1) b. 1/2m n(m-1)(n-1) c. 1/2m^2n^2 d. 1/4m^2n^2

Let m ,n are integers with 0ltnltm . A is the point (m ,n) on the Cartesian plane. B is the reflection of A in the line y=x . C is the reflection of B in the y-axis, D is the reflection of C in the x-axis and E is the reflection of D in the y-axis. The area of the pentagon A B C D E is a. 2m(m+n) b. m(m+3n) c. m(2m+3n) d. 2m(m+3n)

If S_n denotes the sum of first n terms of an A.P. such that (S_m)/(S_n)=(m^2)/(n^2),\ t h e n(a_m)/(a_n)= a. (2m+1)/(2n+1) b. (2m-1)/(2n-1) c. (m-1)/(n-1) d. (m+1)/(n+1)

Let m ,n are integers with 0

Let T_r a n dS_r be the rth term and sum up to rth term of a series, respectively. If for an odd number n ,S_n=na n dT_n=(T_n-1)/(n^2),t h e nT_m ( m being even)is 2/(1+m^2) b. (2m^2)/(1+m^2) c. ((m+1)^2)/(2+(m+1)^2) d. (2(m+1)^2)/(1+(m+1)^2)

A rectangle with sides of lengths (2n-1) and (2m-1) units is divided into squares of unit length. The number of rectangles which can be formed with sides of odd length, is (a) m^2n^2 (b) mn(m+1)(n+1) (c) 4^(m+n-1) (d) non of these

If m ,n in Na n dm^2-n^2=13 ,t h e n(m+1)(n+1) is equal to a. 42 b. 56 c. 50 d. none of these

If the sum of m terms of an A.P. is the same as the sum of its n terms, then the sum of its (m+n) terms is (a). m n (b). -m n (c). 1//m n (d). 0

If tan theta+sin theta=m and tan theta-sin theta=n , then (a) m^2-n^2=4m n (b) m^2+n^2=4m n (c) m^2-n^2=m^2+n^2 (d) m^2-n^2=4sqrt(m n)