Maths-
General
Easy

Question

This section contains 3 multiple choice questions numbered 14 to 16 .Each question has 4 choices (A), (B),(c) , and (D), out of which ONE or MORE may be correct
If fraction numerator 3 plus i 2 s i n invisible function application theta over denominator 1 minus i 2 s i n invisible function application theta end fractionis real , then

  1. theta equals k pi comma k element of i    
  2. theta equals left parenthesis 2 k plus 1 right parenthesis fraction numerator pi over denominator 2 end fraction comma k element of I    
  3. theta equals 0    
  4. theta equals 2 k pi comma k element of I    

The correct answer is: theta equals k pi comma k element of i


    I m invisible function application left parenthesis 2 right parenthesis equals 0 rightwards double arrow s i n invisible function application theta equals 0
    theta equals k pi comma k element of I

    Related Questions to study

    General
    Physics-

    A charge q is placed at the center of the open end of cylindrical vessel. The flux of the electric field through surface of the vessel is

    A charge q is placed at the center of the open end of cylindrical vessel. The flux of the electric field through surface of the vessel is

    Physics-General
    General
    Physics-

    The force between two charges 0.06 m apart is 5 N. If each charge is moved towards the other by 0.01 m, then the force between them will become

    The force between two charges 0.06 m apart is 5 N. If each charge is moved towards the other by 0.01 m, then the force between them will become

    Physics-General
    General
    Physics-

    Figure shows four charges q1, q2, q3 and q4 fixed in space. Then the total flux of electric field through a closed surface S, due to all charges q1, q2, q3 and q4 is

    Figure shows four charges q1, q2, q3 and q4 fixed in space. Then the total flux of electric field through a closed surface S, due to all charges q1, q2, q3 and q4 is

    Physics-General
    parallel
    General
    Physics-

    A Gaussian surface in the figure is shown by dotted line. The electric field on the surface will be

    A Gaussian surface in the figure is shown by dotted line. The electric field on the surface will be

    Physics-General
    General
    Physics-

    A Gaussian surface S enclosed two charges q1 = q, q2 = -q and q3 = q. The net flux passing through S is

    A Gaussian surface S enclosed two charges q1 = q, q2 = -q and q3 = q. The net flux passing through S is

    Physics-General
    General
    Physics-

    The ratio of phi subscript E end subscript passing through the surface S1 and S2 is

    The ratio of phi subscript E end subscript passing through the surface S1 and S2 is

    Physics-General
    parallel
    General
    Physics-

    A point charge q is placed at the origin. The net flux of electric field (E) passing through the curved surface S is

    A point charge q is placed at the origin. The net flux of electric field (E) passing through the curved surface S is

    Physics-General
    General
    Physics-

    Three charges Q, +q and +q are placed at the vertices of a right-angled isosceles triangle as shown in figure. The net electrostatic energy of the configuration is zero, if Q is equal to

    Three charges Q, +q and +q are placed at the vertices of a right-angled isosceles triangle as shown in figure. The net electrostatic energy of the configuration is zero, if Q is equal to

    Physics-General
    General
    Physics-

    A charge Q is shifted from the origin to a point P(a, a). the work done by the electrical force is

    A charge Q is shifted from the origin to a point P(a, a). the work done by the electrical force is

    Physics-General
    parallel
    General
    Physics-

    The charge -Q is shifted slowly from C to D, vertices of square of side l. The work done by the external agent is

    The charge -Q is shifted slowly from C to D, vertices of square of side l. The work done by the external agent is

    Physics-General
    General
    Physics-

    The field pattern is shown due to two point charges 1 and 2. Then q1/q2 =

    The field pattern is shown due to two point charges 1 and 2. Then q1/q2 =

    Physics-General
    General
    Maths-

    Statement : 1 The value of k for which the equation x to the power of 2 end exponent plus k x minus fraction numerator pi over denominator 2 end fraction plus s i n to the power of negative 1 end exponent invisible function application open parentheses x to the power of 2 end exponent minus 6 x plus 10 close parentheses plus c o s to the power of negative 1 end exponent invisible function application open parentheses x to the power of 2 end exponent minus 6 x plus 10 close parentheses equals 0 Has a real solution is -3.
    Statement : 2 s i n to the power of negative 1 end exponent invisible function application x plus c o s to the power of negative 1 end exponent invisible function application x equals fraction numerator pi over denominator 2 end fraction comma text  for all  end text x element of R

    Statement : 1 The value of k for which the equation x to the power of 2 end exponent plus k x minus fraction numerator pi over denominator 2 end fraction plus s i n to the power of negative 1 end exponent invisible function application open parentheses x to the power of 2 end exponent minus 6 x plus 10 close parentheses plus c o s to the power of negative 1 end exponent invisible function application open parentheses x to the power of 2 end exponent minus 6 x plus 10 close parentheses equals 0 Has a real solution is -3.
    Statement : 2 s i n to the power of negative 1 end exponent invisible function application x plus c o s to the power of negative 1 end exponent invisible function application x equals fraction numerator pi over denominator 2 end fraction comma text  for all  end text x element of R

    Maths-General
    parallel
    General
    Physics-

    Six charges of equal magnitude, 3 positive and 3 negative are to be placed on PQRSTU corners of a regular hexagon, such that field at the centre is double that of what it would have been if only one +ve charge is placed at R.

    Six charges of equal magnitude, 3 positive and 3 negative are to be placed on PQRSTU corners of a regular hexagon, such that field at the centre is double that of what it would have been if only one +ve charge is placed at R.

    Physics-General
    General
    Physics-

    The ratio of q and Q so as to make the system in equilibrium is

    The ratio of q and Q so as to make the system in equilibrium is

    Physics-General
    General
    Physics-

    A positive charge Q is placed at the centre of a square of side l. Then the net force acting on the central charge Q due to the other four charges Q, 2Q ,3Q and 4Q placed at the vertices of the square is

    A positive charge Q is placed at the centre of a square of side l. Then the net force acting on the central charge Q due to the other four charges Q, 2Q ,3Q and 4Q placed at the vertices of the square is

    Physics-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.