Home
Class 12
MATHS
If |a|=|b|=|c|=1anda*b=b*c=c.a=costheta,...

If `|a|=|b|=|c|=1anda*b=b*c=c.a=costheta,`then the maximum value of `theta` is

A

`(pi)/(3)`

B

`(pi)/(2)`

C

`(2pi)/(3)`

D

`(2pi)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 1

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQS|50 Videos
  • MOCK TEST 3

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQS|50 Videos

Similar Questions

Explore conceptually related problems

If |a|=|b|=|c|=1 and a*b=b*c=c.a=cos theta then the maximum value of theta is

Statement -1 : If a, b,c, theta in R , then the equation a sin theta + b cos theta=c has a solution only if c^2 gt a^2 + b^2 Statement-2 : If a,b,c, theta ne R, thent he minimuma nd maximum values of a sintheta + b cos theta are respectively -sqrt(a^2-b^2) and sqrt(a^2 +b^2)

Statement 1 a+b+c=18(a,b,cgt0) , then the maximum value of abc is 216. Statement 2 Maximum value occurs when a=b=c .

If a,b,c>=0 such that a+b+c=6 ,then maximum possible value of abc

If a+b+c=6 then the maximum value of sqrt(4a+1)+sqrt(4b+1)+sqrt(4c+1)=

If a,b,c,in R^(+) , such that a+b+c=18 , then the maximum value of a^2,b^3,c^4 is equal to

If a,b and c are unit vectors, then the maximum value of |a-b|^(2)+|b-c|^(2)+|c-a|^(2) is?

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MOCK TEST 2-MCQS
  1. Given a matrix A=[a b c b c a c a b],w h e r ea ,b ,c are real positiv...

    Text Solution

    |

  2. The value of cos^-1 (cos12) - sin^-1 (sin 12) is

    Text Solution

    |

  3. Let alpha=(pi)/(5) and A=[(cosalpha,sinalpha),(-sinalpha,-cosalpha)], ...

    Text Solution

    |

  4. If in a triangle ABC, a^2+b^2+c^2=ca+ab sqrt3 then the triangle is

    Text Solution

    |

  5. The difference of the tangents of the angles which the lines x^(2)(sec...

    Text Solution

    |

  6. If |a|=|b|=|c|=1anda*b=b*c=c.a=costheta,then the maximum value of thet...

    Text Solution

    |

  7. If alpha,beta,gamma be the angles which a line makes with the coordina...

    Text Solution

    |

  8. let |a|=2sqrt(2),|b|=3 and the angle between a and b is (pi)/(4). If a...

    Text Solution

    |

  9. If y=sqrt(sinx+sqrt(sinx+sqrt(sinx+ . . .oo))), then (dy)/(dx) is equa...

    Text Solution

    |

  10. If y=sqrt(((1+cos2theta)/(1-cos2theta))),(dy)/(d theta) at theta=(3pi)...

    Text Solution

    |

  11. int(1)/(x^(2)(x^(4)+1)^(3//4))dx is equal to

    Text Solution

    |

  12. The solution of the differential equation (y^(2)dx-2xydy)=x^(3)y^(3)dy...

    Text Solution

    |

  13. x^(2)=xy is a relation which is

    Text Solution

    |

  14. A random variable X takes values 1,2,3 and 4 with probabilities (1)/(6...

    Text Solution

    |

  15. If the probability mass function of a discrete random variable X is P(...

    Text Solution

    |

  16. The order and degree of the differential equation [1+((dy)/(dx))^(2)]^...

    Text Solution

    |

  17. Using integration, find the area bounded by the curves y = |x-1| and ...

    Text Solution

    |

  18. The pair of lines joining origin to the points of intersection of, the...

    Text Solution

    |

  19. If P(A cup B)=3//4 " and " P(overline(A))=2//3, " then " P(overline(A)...

    Text Solution

    |

  20. A conic section is defined by the equations x=-1+sec t, y=3+3 tan t. t...

    Text Solution

    |