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

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 s in alpha+s in beta=a and cos alpha-cos beta=b then (tan(alpha-beta))/(2)=-(a)/(b) b.(b)/(a) c.sqrt(a^(2)+b^(2)) d.none of these

int_(0)^( pi)|cos theta-sin theta|d theta is equal to (a) sqrt(2)(b)2sqrt(2)(c)3sqrt(3)(d) None of these

If x=(sqrt(a+2b)+sqrt(a-2b))/(sqrt(a+2b)-sqrt(a-2b)) then bx^(2)+b =

(sqrt(-2))(sqrt(-3)) is equal to sqrt(6)b.-sqrt(6)c.i sqrt(6)d* none of these

[(sqrt(81))^(2)]^(2)=(?)^(2)(a)8(b)9(c)4096(d)6561(e) None of these

If a cos theta-b sin theta=c, then a sin theta+b cos theta=+-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

If a sin x+b cos(x+theta)+b cos(x-theta)=d then the minimum value of |cos theta| 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