Home
Class 12
MATHS
The number of all the possible triplets ...

The number of all the possible triplets `(a_1,a_2,a_3)` such that `a_1+a_2cos(2x)+a_2sin^2(x)=0` for all `x` is 0 (b) 1 (c) 3 (d) infinite

A

zero

B

1

C

2

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
D
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

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

The number of all triplets (a_1,a_2,a_3) such that a_1 + a_2 cos 2x + a_3 sin^2 x = 0 for all x is : (A) 0 (B) 1 (C) 3 (D) Infinite

If p(x),q(x) and r(x) be polynomials of degree one and a_1,a_2,a_3 be real numbers then |(p(a_1), p(a_2),p(a_3)),(q(a_1), q(a_2),q(a_3)),(r(a_1), r(a_2),r(a_3))|= (A) 0 (B) 1 (C) -1 (D) none of these

Three rectangles A_1, A_2 and A_3 have the same area. Their lengths a_1, a_2 and a_3 respectively are such that a_1

If a_1,a_2,a_3 are in G.P. having common ratio r such that sum_(k=1)^n a_(2k-1)= sum_(k=1)^na_(2k+2)!=0 then number of possible value of r is (A) 1 (B) 2 (C) 3 (D) none of these

a_1, a_2, a_3, in R-{0} and a_1+a_2cos2x+a_3sin^2x=0fora l lx in R , then (a)vector vec a=a_1 hat i+a_2 hat j+a_3 hat ka n d vec b=4 hat i+2 hat j+ hat k are perpendicular to each other (b)vector vec a=a_1 hat i+a_2 hat j+a_3 hat ka n d vec b=- hat i+ hat j+2 hat k are parallel to each other (c)vector vec a=a_1 hat i+a_2 hat j+a_3 hat k is of lengthsqrt(6) units, then one of the ordered triple (a_1, a_2, a_3)=(1,-1,-2) (d)are perpendicular to each other if 2a_1+3a_2+6a_3=26 ,t h e n|a_1 hat i+a_2 hat j+a_3 hat k|i s2sqrt(6)

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

    |