If `theta=3alpha`and `sintheta=a/(sqrt(a^2+b^2)),` the value of the expression `acos e calpha-bsecalpha` is (a)`a/(sqrt(a^2+b^2))` (b) `2sqrt(a^2+b^2)` (c) `a+b` (d) none of these

If theta=3alpha and sin theta=(a)/(sqrt(a^(2)+b^(2)) , the value of the expression a co sec alpha-b sec alpha is

If theta=3alpha and sin theta=(a)/(sqrt(a^(2)+b^(2)) , the value of the expression a co sec alpha-b sec alpha is

If theta=3alphaand sintheta=a/(sqrt(a^2+b^2)), the value of the expression acos e calpha-bsecalpha is (a)a/(sqrt(a^2+b^2)) (b) 2sqrt(a^2+b^2) (c) a+b (d) none of these

If theta=3alpha and sin theta =(a)/(sqrt(a^(2)+beta^(2))) ,, the value of the expression a cosec alpha - b sec alpha is

(a) a^2+b^2 (b) a+b (c) a^2-b^2 (d) sqrt(a^2+b^2)

If acostheta-bsintheta=c , then asintheta+bcostheta= (a) +-sqrt(a^2+b^2+c^2) (b) +-sqrt(a^2+b^2-c^2) (c) +-sqrt(c^2-a^2-b^2) (d) None of these

The distance of the point P(a ,\ b ,\ c) from the x-axis is a. sqrt(b^2+c^2) b. sqrt(a^2+c^2) c. sqrt(a^2+b^2) d. none of these

If 3a=4b=6c and a+b+c=27sqrt(29) then sqrt(a^(2)+b^(2)+c^(2)) is (a) 3sqrt(29) (b) 81 (c) 87 (d) None of these

If asinx+bcos(x+theta)+bcos(x-theta)=d , then the minimum value of |costheta| is equal to (a) 1/(2|b|)sqrt(d^2-a^2) (b) 1/(2|a|)sqrt(d^2-a^2) (c) 1/(2|d|)sqrt(d^2-a^2) (d) none of these

If asinx+bcos(x+theta)+bcos(x-theta)=d , then the minimum value of |costheta| is equal to (a) 1/(2|b|)sqrt(d^2-a^2) (b) 1/(2|a|)sqrt(d^2-a^2) (c) 1/(2|d|)sqrt(d^2-a^2) (d) none of these