Home
Class 12
MATHS
The number of distinct real roots of |...

The number of distinct real roots of
`|(sinx,cosx,cosx),(cosx,sinx,cosx),(cosx,cosx,sinx)|=0` in the interval `-(pi)/(4)lexle(pi)/(4)` is

A

0 (zero)

B

2

C

1

D

`3`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2014

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

  • QUESTION PAPER 2016

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|75 Videos

Similar Questions

Explore conceptually related problems

The number of distinct roots of abs((sinx, cosx, cosx),(cosx, sinx, cosx),(cosx, cosx, sinx))=0 in the interval -pi/4 le x le pi/4 is

The number of solutions of 2 sinx + cosx =3 is:

The number of solutions of 2sinx+cosx=3 is

If y=|[sinx,cosx,sinx],[cosx,-sinx,cosx],[x,1, 1]| find (dy)/(dx)dot

The number of real solutions of the equation (sinx-x)(cosx-x^2)=0 is

The number of real solutions of the equation (sinx-x)(cosx-x^(2))=0 is

If cosx+sinx=sqrt2cosx and cosx-sinx=k.sinx, then k^2=?

3(sinx-cosx)^4+6(sinx+cosx)^2+4(sin^6x+cos^6x) is equal to

cot2x = cosx + sinx

If y=tan^(-1)""(cosx+sinx)/(cosx-sinx)," then find "(dy)/(dx).

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2015-MULTIPLE CHOICE QUESTIONS
  1. If in a triangle DeltaABC,a^(2)cos^(2)A-b^(2)-c^(2)=0, then

    Text Solution

    |

  2. {x""inR":"|cosx|gesinx}cap[0,(3pi)/(2)]

    Text Solution

    |

  3. The number of distinct real roots of |(sinx,cosx,cosx),(cosx,sinx,co...

    Text Solution

    |

  4. Let x(1),x(2),.........x(15) be 15 distinct numbers chosen from 1,2,3,...

    Text Solution

    |

  5. Let [x] denote the greatest integer less than or equal to x Then the v...

    Text Solution

    |

  6. A particle starts moving from rest from a fixed point in a fixed direc...

    Text Solution

    |

  7. lim(nto oo)(sqrt1+sqrt2+......+sqrt(n-1))/(nsqrtn)=

    Text Solution

    |

  8. If lim(xto0)(axe^(x)-blog(1+x))/(x^(2))=3 then the values of a, b are ...

    Text Solution

    |

  9. Area of the region bonuded by y=|x|andy=-|x|+2 is

    Text Solution

    |

  10. Let d(n) denote the number of divisors of n inciuding 1 and iteslf . T...

    Text Solution

    |

  11. The trigonometric equation sin^(-1)x=2sin^(-1)2a has a real solution i...

    Text Solution

    |

  12. If 2+i and sqrt5-2i are the roots of the equation (x^(2)+ax+b)(x^(2)+c...

    Text Solution

    |

  13. Let P(x) be a polynomial, which when divided by x-3 and x-5 leaves rem...

    Text Solution

    |

  14. The integrating factor of the differential equation (dy)/(dx)+(3x^(2)t...

    Text Solution

    |

  15. If y=e^(-x)cos2x then which of the following differential equations is...

    Text Solution

    |

  16. Let f(x) denote the fractional part of a real numbers x. Then the valu...

    Text Solution

    |

  17. Let S={(a,b,c)inNxxNxxN:a+b+c=21,aleblec} and T={(a,b,c)inNxxNxxN:a,b,...

    Text Solution

    |

  18. Let y=e^(x^(2)) and y=e^(x^(2))sinx be two given curves. Then the angl...

    Text Solution

    |

  19. A person goes to office by car or scooter or bus or train, probability...

    Text Solution

    |

  20. The value of int((x-2)dx)/({(x-2)^(2)(x+3)^(7)}^(1//3))is

    Text Solution

    |