`I fsintheta+sqrt(3)costhetageq1t h e n`

If sintheta=-1/2a n d\ t a ntheta=1/(sqrt(3))t h e n\ theta is equal to a. 30^0 b. 150^0 c. 210^0 d.none of these

If sintheta=-1/2a n d t a ntheta=1/(sqrt(3))t h e n theta s equal to- 30^0 b.150^0 c.210^0 d.none of these

If sintheta=-1/2a n d\ t a ntheta=1/(sqrt(3))t h e n\ theta s equal to- 30^0 b. 150^0 c. 210^0 d.none of these

For the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , let n be the number of points on the plane through which perpendicular tangents are drawn. If n=1,t h e ne=sqrt(2) If n >1,t h e n0 sqrt(2) None of these

If x_1=3 and x_(n+1)=sqrt(2+x_n),ngeq1,t h e n""("lim")_(xrarroo)x_n is (a) -1 (b) 2 (c) sqrt(5) (d) 3

If x_1=3 and x_(n+1)=sqrt(2+x_n),ngeq1,t h e n""("lim")_(xrarroo)x_n is (a) -1 (b) 2 (c) sqrt(5) (d) 3

If x_1=3 and x_(n+1)=sqrt(2+x_n),ngeq1,t h e n""("lim")_(xrarroo)x_n is (a) -1 (b) 2 (c) sqrt(5) (d) 3

If the angles of a triangle are 30^0a n d45^0 and the included side is (sqrt(3)+1) cm, then area of the triangle is 1/2(sqrt(3)+1)s qdotu n i t s area of the triangle is 1/2(sqrt(3)-1)s qdotu n i t s

If alphaa n dbeta are acute angles satisfying cos2alpha=(3cos2beta-1)/(3-cos2beta),t h e ntanalpha= sqrt(2)tanbeta (b) 1/(sqrt(2))t a nbeta (c) sqrt(2)cotbeta (d) 1/(sqrt(2))cotbeta

If cosalpha+cosbeta=1/2a n dsinalpha+sinbeta=1/3,t h e n