The equation `sin^4x-2cos^2x+a^2=0` can be solved if (a)`-sqrt(3)lt=alt=sqrt(3)` (b) `sqrt(2)lt=alt=""sqrt(2)` (c)`-""1lt=alt=a` (d) none of these

The equation sin^4x+cos^4x+sin2x+alpha=0 is solvable for -5/2lt=alphalt=1/2 (b) -3lt=alpha<1 -3/2lt=alphalt=1/2 (d) -1lt=alphalt=1

Solve sqrt(3)x^(2) - sqrt(2)x + 3sqrt(3)=0

Solve x-sqrt(1-|x|) lt 0 .

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 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

If alt=3cosx+5sin(x-pi/6)lt=b for all x then (a , b) is (a) (-sqrt(19),sqrt(19)) (b) (-17 ,17) (c) (-sqrt(21),sqrt(21)) (b) none of these

Solve sqrt(x-1)/(x-2) lt 0

Solve (x^3-4x)sqrt(x^2-1)=0.

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

P rov et h a t4lt=int_1^3sqrt(3+x^2)lt=4sqrt(3)