Home
Class 12
MATHS
The number of distinct real roots of [[s...

The number of distinct real roots of `[[sin x , cos x , cos x ],[cos x , sin x , cos x],[cos x , cos x , sin x]] =0` in the interval `-(pi)/(4) le x le (pi)/(4)` is

A

0

B

2

C

1

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    HIMALAYA PUBLICATION|Exercise Question Bank|97 Videos

  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos

Similar Questions

Explore conceptually related problems

(sin 3x + sin x ) sin x + (cos 3x - cos x) cos x =0

(sin x + sin 3x )/( cos x + cos 3x )= tan 2x

int (2 cos x - 3 sin x)/(6 cos x + 4 sin x) dx

If sin 2x = 4 cos x , then x =

(sin 5x + sin 3x )/( cos 5x + cos 3x ) = tan 4x

cos ^(2) 2x -cos ^(2) 6x = sin 4x sin 8x

The number of distinct solution of the equation 5/4 cos^(2) 2x + cos^(4)x+sin^(4) x+cos^(6)x+sin^(6) x=2 in the interval [0, 2pi] is _______.

Find the number of solutions of |cos x|=sin x , 0 le x le 4 pi

Find the number of solution of the equations sin^3 x cos x + sin^(2) x* cos^(2) x+sinx * cos^(3) x=1 , when x in[0,2pi]

((sin 7x + sin 5x ) +(sin 9x + sin 3x))/( (cos 7x + cos 5x ) + (cos 9x + cos 3x ))= tan 6x

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. The value of determinant |(a-b ,b+c,a),(b-a,c+a,b),(c-a,a+b,c)| is

    Text Solution

    |

  2. If [[ 2 x , 5],[ 8 , x ]] = [[6 , -2 ],[7 , 3 ]], then, x=

    Text Solution

    |

  3. The number of distinct real roots of [[sin x , cos x , cos x ],[cos x ...

    Text Solution

    |

  4. There are two values of a which makes determinant , A=|(1,-2,5),(2,a,-...

    Text Solution

    |

  5. The value of determinant |(x,x+y,x+2y),(x+2y,x,x+y),(x+y,x+2y,x)| is

    Text Solution

    |

  6. If x, y, z are all different and not equal to zero and |{:(1+x,,1,,...

    Text Solution

    |

  7. If A = [ (2,lambda,-3),(0,2,5),(0,1,3)] , then A^(-1) exists if :

    Text Solution

    |

  8. A root of the equation |(0, x-a,x-b),(x+a,0,x-c),(x+b,x+c,0)|=0 is

    Text Solution

    |

  9. The maximum value of Delta=|(1,1,1),(1,1+sintheta,1),(1+costheta,1,1)|...

    Text Solution

    |

  10. Let f(t)=|(cost,t,1),(2sint,t,2r),(sint,t,t)| , then {:(lim),(t rarr0)...

    Text Solution

    |

  11. If A,B and C are angles of a triangle, then the determinant : |(-1,c...

    Text Solution

    |

  12. If A is a square matrix of order 3 xx 3, then |KA| is equal to

    Text Solution

    |

  13. Which of the following is correct

    Text Solution

    |

  14. If the area of the triangle with vertices (2,-6),(5,4) and (K,4) is 35...

    Text Solution

    |

  15. If Delta= [[ a11 , a12 , a13],[a21 , a22 , a23],[a31 , a32 , a33 ]] an...

    Text Solution

    |

  16. If A is an invertible matrix of order 2 then find |A^(-1)|

    Text Solution

    |

  17. Let A=[[ 1 , sin theta , 1 ],[-sin theta , 1 , sin theta],[-1 , -sin t...

    Text Solution

    |

  18. If A+B=[[1,0],[1,1]] and A-2 B=[[-1,1],[0,1]] then A=

    Text Solution

    |

  19. If A=[[-1,2],[-2,1]], B=[[3,4],[2,-1]] and A+2 X=B, then X=

    Text Solution

    |

  20. Choose the correct answer

    Text Solution

    |