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

The value of 3^((log)_4 5)-5^((log)_4 3) is 0 (b) 1 (c) 2 (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 probability that a student is not a swimmer is 1/5 . Then the probability that out of five students, four are swimmers is (A) .^(5)C_(4)(4/5)^(4)1/5 (B) (4/5)^41/5 (C) ^5C_1 1/5(4/5)^4 (D) None of these

If 5tantheta-4=0 , then the value of (5sintheta-4costheta)/(5sintheta+4costheta) is

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

If a/b=4/3, then the value of (6a+4b)/(6a-5b) is (a) -1 (b) 3 (c) 4 (d) 5

The xy-plane divides the line segment joining (1,2,3) and (-3,4,-5) (A) internally in the ratio 3:4 (B) externally in the ratio 5:3 (C) internally in the ratio 3:5 (D) none of these

Let A=[(1, 2), (3,-5)] and B=[(1, 0), (0, 2)] and X be a matrix such that A=B X , then X is equal to (a) 1/2[(2, 4), (3, -5)] (b) 1/2[(-2, 4), (3, 5)] (c) [(2, 4), (3,-5)] (d) none of these

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