Home
Class 12
MATHS
The number of all possible 5-tuples (a(1...

The number of all possible 5-tuples `(a_(1),a_(2),a_(3),a_(4),a_(5))` such that ` a_(1)+a_(2) sin x+a_(3) cos x + a_(4) sin 2x +a_(5) cos 2 x =0` hold for all x is

A

zero

B

1

C

2

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA|Exercise Exercise|66 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    OBJECTIVE RD SHARMA|Exercise Exercise|22 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

find all the possible triplets (a_(1), a_(2), a_(3)) such that a_(1)+a_(2) cos (2x)+a_(3) sin^(2) (x)=0 for all real x.

The number of all the possible triplets (a_(1),a_(2),a_(3)) such that a_(1)+a_(2)cos(2x)+a_(2)sin^(2)(x)=0 for all x is 0 (b) 1(c)3(d) infinite

If a_(1),a_(2),a_(3),a_(4),a_(5) are in HP, then a_(1)a_(2)+a_(2)a_(3)+a_(3)a_(4)+a_(4)a_(5) is eqiual to

(a_(1))/(a_(1)+a_(2))+(a_(3))/(a_(3)+a_(4))=(2a_(2))/(a_(2)+a_(3))

Let (a_(1),a_(2),a_(3),a_(4),a_(5)) denote a re=arrangement of (3,-5,7,4-9), then a_(1)x^(4)+a_(2)x^(3)+a_(3)x^(2)+a_(4)+a_(5)=0 has

Let S be the set of 6 -digit numbers a_(1)a_(2)a_(3)a_(4)a_(5)a_(6) (all digits distinct) where a_(1)>a_(2)>a_(3)>a_(4)

If a_(1),a_(2),a_(3),a_(4),a_(5),a_(6) are in A.P , then prove that the system of equations a_(1)x+a_(2)y=a_(3),a_(4)x+a_(5)y = a_(6) is consistent .

If int cos x cos 2x cos 3x dx = A_(1)sin 2x + A_(2) sin 4x + A_(3) sin 6x + C then

Consider an A.P*a_(1),a_(2),a_(3),.... such that a_(3)+a_(5)+a_(8)=11 and a_(4)+a_(2)=-2 then the value of a_(1)+a_(6)+a_(7) is....

Let P(x)=1+a_(1)x+a_(2)x^(2)+a_(3)x^(3) where a_(1),a_(2),a_(3)in I and a_(1)+a_(2)+a_(3) is an even number,then

OBJECTIVE RD SHARMA-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Chapter Test
  1. If |k|=5 and 0^(@) le theta le 360^(@) , then the number of different...

    Text Solution

    |

  2. The number of all the possible triplets (a1,a2,a3) such that a1+a2cos(...

    Text Solution

    |

  3. The number of all possible 5-tuples (a(1),a(2),a(3),a(4),a(5)) such th...

    Text Solution

    |

  4. The general solution of the equation "cos" x"cos"6x = -1, is

    Text Solution

    |

  5. The values of x satisfying the system of equation 2^("sin" x + "cos"...

    Text Solution

    |

  6. The general solution of the equation "tan" 3x = "tan" 5x, is

    Text Solution

    |

  7. The number of all possible ordered pairs (x, y) x, y in R satisfying t...

    Text Solution

    |

  8. If the expression ([s in(x/2)+cos(x/2)-i t a n(x)])/([1+2is in(x/2)])...

    Text Solution

    |

  9. If the equation "sec" theta + "cosec" theta =c has real roots between ...

    Text Solution

    |

  10. If the equation "sec" theta + "cosec" theta =c has real roots between ...

    Text Solution

    |

  11. If theta(1), theta(2), theta(3), theta(4) are roots of the equation "s...

    Text Solution

    |

  12. If sin(pi cos theta) = cos(pi sin theta), then of the value cos(th...

    Text Solution

    |

  13. If "tan" (pi "cos" theta) = "cot"(pi "sin" theta), then the value(s) ...

    Text Solution

    |

  14. The general solution of "tan" ((pi)/(2)"sin" theta) ="cot"((pi)/(2)"co...

    Text Solution

    |

  15. The most general value of theta which satisfy both the equation cos th...

    Text Solution

    |

  16. The number of roots of the equation x +2"tan"x = (pi)/(2) in the inter...

    Text Solution

    |

  17. If "sin" (pi "cot" theta) = "cos" (pi "tan" theta), "then cosec" 2 the...

    Text Solution

    |

  18. The number of distinct roots of the equation A"sin"^(3) x + B"cos"^(3...

    Text Solution

    |

  19. The values of x between 0 and 2pi which satisfy the equation sinxsqrt(...

    Text Solution

    |

  20. If Cos20^0=k and Cosx=2k^2-1, then the possible values of x between 0^...

    Text Solution

    |