If `tangamma=secalpha secbeta+tanalphatanbeta, then cos2 gamma` is necessarily (A) `ge0` (B) `le0` (C) lt0 (D) gt0

If tan gamma=sec alpha sec beta+tan alpha tan beta, then cos2 gamma is necessarily (A) ge0 (B) le0 (C) lt0 (D) gt0

If tan gamma=sec alpha sec beta+tan alpha tan beta, then cos2 gamma is necessarily (A) ge0 (B) le0 (C) lt0 (D) gt0

If (secalpha+tanalpha)(secbeta+tanbeta)(secgamma+tangamma)=tanalphatanbetatangamma , then (secalpha-tanalpha)(secbeta-tanbeta)(secgamma-tangamma)= ........................ (A) cot alpha cot beta cot gamma (B) tan alpha tan beta tan gamma (C) cot alpha + cot beta + cot gamma (D) tan alpha +tan beta + tan gamma

If the equation f(x)= ax^2+bx+c=0 has no real root, then (a+b+c)c is (A) =0 (B) gt0 (C) lt0 (D) not real

If the equation f(x)= ax^2+bx+c=0 has no real root, then (a+b+c)c is (A) =0 (B) gt0 (C) lt0 (D) not real

|z-i|lt|z+i| represents the region (A) Re(z)gt0 (B) Re(z)lt0 (C) Im(z)gt0 (D) Im(z)lt0

|z-i|lt|z+i| represents the region (A) Re(z)gt0 (B) Re(z)lt0 (C) Im(z)gt0 (D) Im(z)lt0

If a!=0 and log_x (a^2+1)lt0 then x lies in the interval (A) (0,oo) (B) (0,1) (C) (0,a) (D) none of these

If cos alpha + cos beta + cos gamma = 0 , where 0 lt alpha le (pi)/(2),0 lt beta le (pi)/(2),0 lt gamma le (pi)/(2) . then what is the value of sin alpha + sin beta + sin gamma ?

If a lt 0 and b lt 0 , then (a +b)^(2) gt 0 .