If `tantheta=-4/3,t h e nsintheta` is `-4/5b u tnot4/5` (b) `-4/5or4/5` `4/5b u tnot-4/5` (d) none of these

The value of 3^((log)_4 5)-5^((log)_4 3) is 0 (b) 1 (c) 2 (d) none of these

If 5tantheta=4, then (5sintheta-3costheta)/(5sintheta+2costheta) is equal to 0 (b) 1 (c) 1/6 (d) 6

If the intercepts made by the line y=mx by lines x=2 and x=5 is less than 5, then the range of values of m is a. (-oo,-4/3)uu(4/3,oo) b. (-4/3,4/3) c. (-3/4,4/3) d. none of these

The probability that a student is not a swimmer is 1/5 . Then the probability that out of five students, four are swimmers is (A) ""^5C_4""(4/5)^4""1/5 (B) (4/5)^4""1/5 (C) ""^5C_1 1/5(4/5)^4"" (D) None of these

The number of roots of (1-tantheta)(1+sin2theta)=1+tanthetafortheta in [0,2pi] is 3 (b) 4 (c) 5 (d) none of these

If sec^4theta+sec^2theta=10+tan^4theta+tan^2theta, then sin^2theta= 2/3 (b) 3/4 (c) 4/5 (d) 5/6

If x is real, then the value of the expression (x^2+14x+9)/(x^2+2x+3) lies between (a) 5 and 4 (b) 5 and -4 (c) -5 and 4 (d) none of these

The number of four-digit numbers that can be made with the digits 1, 2, 3, 4, and 5 in which at least two digits are identical is a. 4^5-5! b. 505 c. 600 d. none of these

A four figure number is formed of the figures 1, 2, 3, 5 with no repetitions. The probability that the number is divisible by 5 is a. 3//4 b. 1//4 c. 1//8 d. none of these

The value of 0. 2^(logsqrt(5)1/4+1/8+1/(16)+) is 4 b. log4 c. log2 d. none of these