If `A+B+C=pi\ &sin(A+C/2)=ksinC/2, t h e ntanA/2tanB/2=` a.`(k-1)/(k+1)` b. `(k+1)/(k-1)` c.`k/(k+1)` d. `(k+1)/k`

If p=s/((1+k)^n),\ t h e n\ n\ equals a. logs/(p(1+k)) b. (log(s/p))/("log"(1+k)) c. (logs)/(logp(1+k)) d. (logp(1+k))/("log"(s/p))

If cosec theta + cot theta =k , then prove that cos theta =(k^(2)-1)/( k^(2)+1)

Find all values of k for which there is a triangle whose angles have measures tan^(-1)(1/2), tan^(-1)(1/2+k) and tan^(-1)(1/2+2k)

Let k=1^@ , then prove that sum_(n=0)^88 1/(cosnk* cos(n+1)k)=cosk/sin^2k

A special die is so constructed that the probabilities of throwing 1, 2, 3, 4, 5 and 6 are (1-k)/(6), (1+2k)/(6), (1-k)/(6), (1+k)/(6), (1-2k)/(6) and (1+k)/(6) , respectively. If two such dice are thrown and the probability of getting a sum equal to 9 lies between (1)/(9) and (2)/(9) , then the integral value of k is

If three points (h,0), (a,b) and (0,k) lie on a line, show that (a)/( h) + (b)/(k)=1 .

Evaluate sum_(k-1)^11(2+3^k)

If x_k = (sectheta)^(1/2^k)+ (tan theta)^(1/(2^k) and y_k = (sectheta)^(1/(2^k))-(tan theta)^(1/2^k) , then value of 3y_n prod_(k=0)^n (x_k) is equal to

In each of the following find the value of 'k', for which the points are collinear : (1) (7,-2), (5,1), (3,k) (2) (8,1), (k,-4), (2,-5)