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

0

B

1

C

3

D

Infinite

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|25 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|13 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise For Session 4|8 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|44 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|19 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)

ARIHANT MATHS-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise (Single Option Correct Type Questions)
  1. Let 2 sin^(2)x + 3 sin x -2 gt 0 and x^(2)-x -2 lt 0 ( x is measured ...

    Text Solution

    |

  2. The number of points of intersection of the two curves y=2 sin x and...

    Text Solution

    |

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

    Text Solution

    |

  4. If the equation sin^4x-(k+2)s in^2x-(k+3)=0 has a solution then k must...

    Text Solution

    |

  5. In the interval [-pi/2,pi/2] the equation log(sin theta)(cos 2 theta)=...

    Text Solution

    |

  6. sum(i=1)^n costhetai=n then sum(i=1)^n sinthetai

    Text Solution

    |

  7. If (sin alpha)^(x)+(cos alpha)^(x) ge 1,0 lt a lt (pi)/(2) then

    Text Solution

    |

  8. The most general values of 'x' for which sin x + cos x ="min"(a in R)...

    Text Solution

    |

  9. Value of ^(6)x' and 'y' satisfying the equation sin^(7)y=|x^(3)-x^(2)-...

    Text Solution

    |

  10. If max{5sin theta+3sin(theta-alpha)}=7 then the set of possible vaues ...

    Text Solution

    |

  11. Find the number of integral value of n so that sinx(sinx+cosx)=n has a...

    Text Solution

    |

  12. The total number of solution of sin {x}= cos {x} (where {.} denotes th...

    Text Solution

    |

  13. If a , b in [0,2pi] and the equation x^2+4+3sin(a x+b)-2x=0 has at lea...

    Text Solution

    |

  14. The value of 'a' for which the equation 4cosec^(2)pi(a+x)+a^(2)-4a=0 h...

    Text Solution

    |

  15. If the equation 2 cos x + cos 2 lambda x=3 has only one solution , t...

    Text Solution

    |

  16. Let n be a positive integer such that sinpi/(2n)+cospi/(2n)=(sqrt(n))/...

    Text Solution

    |

  17. The number of solution of the equation 5 sec theta -13=12 tan theta i...

    Text Solution

    |

  18. The number of solutions of the equation x^(3)+x^(2)+4x+2sinx=0 in 0 le...

    Text Solution

    |

  19. If tan((pi)/(2) sin theta )= cot((pi)/(2) cos theta ), then sin thet...

    Text Solution

    |

  20. The equation sin x + sin y + sin z = -3 for 0le x le2pi, 0le y le 2pi,...

    Text Solution

    |