The straight line `xcostheta+ysintheta=2` will touch the circle `x^2+y^2-2x=0` if `theta=npi,n in I Q` (b) `A=(2n+1)pi,n in I` `theta=2npi,n in I` (d) none of these

The straight line x cos theta+y sin theta=2 will touch the circle x^(2)+y^(2)-2x=0, if

If A=[cos theta-sin theta sin theta cos theta], then A^(T)+A=I_(2), if theta=n pi,n in Z(b)theta=(2n+1)(pi)/(2),quad n in Z(c)theta=2n pi+(pi)/(3),quad n in Z(d) none of these

Which of the following is not the general solution of 2^(cos2x)+1=3. 2^-sin^(2x)? (a)npi,n in Z (b) (n+1/2)pi,n in Z (n-1/2)pi,n in Z (d) none of these

The function (sin(x+a))/(sin(x+b)) has no maxima or minima if (a) b-a=n pi,n in I(b)b-a=(2n+1)pi,n in I(c)b-a=2n pi,n in I(d) none of these

The value(s) of theta , which satisfy 3-2\ costheta-4sintheta-cos2theta+sin2theta=0 is/are theta=2npi; n in I (b) 2npi+pi/2; n in I 2npi-pi/2; n in I (d) npi: n in I

If cos^(2)x+cos^(2)2x+cos^(2)3x=1 then x=(2n+1)(pi)/(4),n in Ix=(2n+1)(pi)/(2),n in Ix=n pi+-(pi)/(6),n in I (d) none of these

If 4cos^(2)theta+sqrt(3)=2(sqrt(3)+1)cos theta, then theta is 2n pi+-(pi)/(3),n in I(b)2n pi+-(pi)/(4),n in I2n pi+-(pi)/(6),n in I(d) none of these

The value of (sintheta+i cos theta)^n is (A) sin n theta+i cos ntheta (B) cos ntheta-i sin n theta (C) cos ((npi)/2- ntheta)+is sin ((npi)/2- ntheta) (D) none of these

If the line x cos theta+y sin theta=P is the normal to the curve (x+a)y=1, then show theta in(2n pi+(pi)/(2),(2n+1)pi)uu(2n pi+(3 pi)/(2),(2n+2)pi),n in Z

The solution(s) of the equation sin7x+cos2x=-2 is/are x=(2kpi)/7+(3pi)/(14),\ k in I (b) x=npi+pi/4\ k in I x=2npi+pi/2,\ k in I (d) none of these