Home
Class 12
MATHS
The number of solutions of 2 cos ^(2) (x...

The number of solutions of `2 cos ^(2) (x/2) sin ^(2)x =x^(2)+(1)/(x^(2))` in `0 le x le (pi)/(2)` is-

A

0

B

1

C

2

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 6|90 Videos
  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 9|66 Videos
  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 7|90 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos
  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

Similar Questions

Explore conceptually related problems

The nunmber of solution of 2cos^2(x/2)sin^2x=x^2+1/x^2, 0 le x le pi/2, is

The number of solutions of sin(x/2) + 2 pi x = x^2 + pi^2 + 1 must be

Number of solution of x^2+x+absx+1le0 is

cos^(2)x(dy)/(dx) + y = tan x (o le x le (pi)/(2))

The number of solution of the equation x^3 + x^2 + 4x + 2 sin x = 0 , 0 le x le 2pi , is

1/(x+2)le0

Number of solution of equation sin^(-1)x+cos^(-1)(x^2)=pi/2

The number of solution of 16^(sin^2 x) + 16^(cos^2 x) = 10 : 0 le x le 2pi , is

Solve: 16 ^(sin^(2)x) + 16^(cos^(2)x)=10 (0 le x le pi) .

The number of solutions of the equation cos^(-1)((1+x^2)/(2x))-cos^(-1)x=pi/2+sin^(-1)x is 0 (b) 1 (c) 2 (d) 3

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 8
  1. If tan (pi cos theta) = cot (pi sin theta), then the valus of cos (th...

    Text Solution

    |

  2. If (1+ tan theta) (1+ tan phi)=2, then the value of (theta+ phi) is

    Text Solution

    |

  3. The number of solutions of 2 cos ^(2) (x/2) sin ^(2)x =x^(2)+(1)/(x^(2...

    Text Solution

    |

  4. The most general values of theta satisfying the two equations cos thet...

    Text Solution

    |

  5. In any triangle ABC, if a,b,c are in A.P. then tan ""A/2, tan ""B/2, t...

    Text Solution

    |

  6. In any triangle ABC, the value of (b^(2)sin 2C + c^(2) sin 2B) is-

    Text Solution

    |

  7. If a sin theta =b sin (120^(@) +theta) =c sin (240^(@) +theta), then ...

    Text Solution

    |

  8. The value of theta ( 0 lt theta lt (pi)/(2)) for which cos theta sin (...

    Text Solution

    |

  9. The maximum value of [sin (x+(pi)/(6))+cos (x+(pi)/(6))] in the interv...

    Text Solution

    |

  10. The value of cos ""pi/7 cos ""(2pi)/(7) cos ""(3pi)/(7) is-

    Text Solution

    |

  11. In a triangle ABC, a=4 , b=3, A=60^(@), then c is the root of the equa...

    Text Solution

    |

  12. The valud of sin 12^(@) sin 48^(@) sin 54^(@) is equal to-

    Text Solution

    |

  13. In a right angled triangle, the hypotense is four times as long as the...

    Text Solution

    |

  14. If n is an integer, which of the following is correct ?

    Text Solution

    |

  15. If 1+ sin ^(2) A=3 sin A cos A , then possible values of tan A are-

    Text Solution

    |

  16. The soluition of the equation sin theta -2= cos 2 theta in the interv...

    Text Solution

    |

  17. The value od the expression sqrt(2+sqrt(2+sqrt(2+2 cos 8 theta )))is-

    Text Solution

    |

  18. If tan x =b/a, then the value of (a cos 2x+ b sin 2x) is equal to-

    Text Solution

    |

  19. If x= sum(n=0)^(oo) cos ^(2n)theta , y = sum (n=o) ^(oo) sin ^(2n)thet...

    Text Solution

    |

  20. In a triangle PQR, angle R=(pi)/(2). If tan ""P/2 and tan ""Q/2 are th...

    Text Solution

    |