Home
Class 12
MATHS
If A ={ theta : 2cos^2 theta + sintheta ...

If `A ={ theta : 2cos^2 theta + sintheta <=2}` , and `B = {theta: pi/2<=theta<= 3pi/2}` , then the region for `(AnnB)` is

A

`{theta:(pi)/(2)le theta le(5pi)/(6)}`

B

`{theta:pi le theta le(3pi)/(2)}`

C

`{theta: (pi)/(2) le theta le (5pi)/(6)} or {theta: pi le theta le (3pi)/(2)}`

D

`{theta:(3pi)/(4)le theta le (7pi)/(4)}`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 97

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • NTA JEE MOCK TEST 99

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

2-cos^(2)theta =3 sintheta costheta , sintheta ne cos theta , then the value of tan theta is

If sin theta_1 + sin theta_2 + sintheta_3 =3 then cos theta_1 + cos theta_2 + costheta_3 is equal to

Prove each of the following identities : (i) (sec theta -1)/(sec theta +1) =(sin^(2) theta)/((1+ cos theta)^(2) ) (ii) (sec theta - tan theta)/(sec theta + tan theta) = (cos^(2) theta)/((1+ sintheta)^(2))

The value of (2(sin2theta+2cos^2theta-1))/(costheta-sintheta-cos3theta+sin3theta) is adot costheta b. sectheta c. cosectheta d. sintheta

If A=[(cos^2theta,costheta sintheta),(cos theta sintheta, sin^2theta)] and B=[(cos^2 phi, cos phi sin phi),(cos phisinphi,sin^2phi)], show that AB is zero matrix if theta and phi differ by an odd multiple of pi/2.

The possible value of theta in [-pi, pi] satisfying the equation 2(costheta + cos 2theta)+ (1+2costheta)sin 2theta = 2sintheta are

If sintheta + cos theta =1 , then the value of sintheta - costheta is:

NTA MOCK TESTS-NTA JEE MOCK TEST 98-MATHEMATICS
  1. If alpha is a root of the equation 4x^(2)+2x-1=0 and f(x)=4x^(2)-3x+1,...

    Text Solution

    |

  2. A trapezium is formed by the pair of tangents of parabola P:y=(x^(2))/...

    Text Solution

    |

  3. If A ={ theta : 2cos^2 theta + sintheta <=2} , and B = {theta: pi/2<=t...

    Text Solution

    |

  4. If the function f(x)=((1-x))/(2)tan.(pix)/(2) is continuous at x = 1, ...

    Text Solution

    |

  5. Consider the statement p : If slope of a straight line is 1 then it is...

    Text Solution

    |

  6. The valueof 2sin^(-1).(4)/(5)+2sin^(-1).(5)/(13)+2sin^(-1).(16)/(65) i...

    Text Solution

    |

  7. A balloon moving in a straight line passes vertically above two points...

    Text Solution

    |

  8. A line with gradient 2 intersects a line with gradient 6 at the point ...

    Text Solution

    |

  9. If f(x) is a continuous function satisfying f(x)=f(2-x), then the valu...

    Text Solution

    |

  10. The focus of the conic represented parametrically by the equation y=t^...

    Text Solution

    |

  11. The sum of infinite terms of the sequence whose r^("th") term is given...

    Text Solution

    |

  12. If the lines (x-1)/(2)=(y)/(-1)=(z)/(2) and x-y+z-2=0=lambdax+3z+5 are...

    Text Solution

    |

  13. Five numbers are selected from 1, 2, 3, 4, 5, 6, 7, 8 and 9. The proba...

    Text Solution

    |

  14. A curve is such that the slope of the tangent to it at any point P is ...

    Text Solution

    |

  15. If A is an invertible square matrix of the order n such that |A| ne1 a...

    Text Solution

    |

  16. Let f(x) be a continuous and positive function, such that the area bou...

    Text Solution

    |

  17. A committee of ten is to be formed from eight teachers and twelve stud...

    Text Solution

    |

  18. The value of lim(xrarr0^(-))(4^((3)/(x))+15(2^((1)/(x))))/(2^(1+(6)/(x...

    Text Solution

    |

  19. If z(1)and z(2) are two distinct complex numbers satisfying the relati...

    Text Solution

    |

  20. Consider two vectors veca=3hati-2hatj+4hatk and vecb=hatj+2hatk. If ve...

    Text Solution

    |