Which of the following is the value of `sin 27^0-cos 27^0?` (a) `-(sqrt(3-sqrt(5)))/2` (b) `(sqrt(5-sqrt(5)))/2` (c) `-(sqrt(5)-1)/(2sqrt(2))` (d) none of these

The value of cot70^0+4cos70^0 is (a) 1/(sqrt(3)) (b) sqrt(3) (c) 2sqrt(3) (d) 1/2

Which of the following is equal to root(3)(-1) a. (sqrt(3)+sqrt(-1))/2 b. (-sqrt(3)+sqrt(-1))/(sqrt(-4)) c. (sqrt(3)-sqrt(-1))/(sqrt(-4)) d. -sqrt(-1)

The value of ("lim")_(xto2)(sqrt(1+sqrt(2+x))-sqrt(3))/(x-2)i s (a) 1/(8sqrt(3)) (b) 1/(4sqrt(3)) (c) 0 (d) none of these

If a<0,b>0, then sqrt(a)sqrt(b) is equal to (a) -sqrt(|a|b) (b) sqrt(|a|b)i (c) sqrt(|a|b) (d) none of these

Which of the following expressions are polynomials. If not give reason : sqrt(5)x^(2) + sqrt(3) x + sqrt(2)

Which of the following is not the solution of (log)_3(x^2-2)<(log)_3(3/2|x|-1) is (a) (sqrt(2),2) (b) (-2,-sqrt(2)) (c) (-sqrt(2),2 (d) none of these

Complete solution set of tan^2(sin^(-1)x)>1 is (a) (-1,-1/(sqrt(2)))uu(1/(sqrt(2)),1) (b) (-1/(sqrt(2)),1/(sqrt(2)))~{0} (c) (-1,1)~{0} (d) none of these

If P(1+t/(sqrt(2)),2+t/sqrt(2)) is any point on a line, then the range of the values of t for which the point P lies between the parallel lines x+2y=1a n d2x+4y=15. is (a) (4sqrt(2))/3lttlt5(sqrt(2)) 6 (b) 0lttlt(5sqrt(2)) (c) 4sqrt(2)lttlt0 (d) none of these