Home
Class 11
MATHS
The number of all possible triplets (a1,...

The number of all possible triplets `(a_1,a_2,a_3)` such that : `a_1 + a_2cos2x + a_3sin^2x = 0` for all x is :

A

0

B

1

C

2

D

infinite

Text Solution

Verified by Experts

4
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|21 Videos
  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 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_2cos(2x)+a_3sin^2(x)=0 for all x is (a) 0 (b) 1 (c) 3 (d) infinite

a_1, a_2, a_3, in R-{0} and a_1+a_2cos2x+a_3sin^2x=0 for all x in R , then

Let a_1,a_2,a_3…… ,a_n be in G.P such that 3a_1+7a_2 +3a_3-4a_5=0 Then find common ratio of G.P.

Find the number of ways of arranging 15 students A_1,A_2,........A_15 in a row such that (i) A_2 , must be seated after A_1 and A_3 , must come after A_2 (ii) neither A_2 nor A_3 seated brfore A_1

The number of ways in which 10 candidates A_1,A_2,….A_10 can be ranked so that A_1 is always above A_2 is

Find the number of all three elements subsets of the set {a_1, a_2, a_3, ........... a_n} which contain a_3dot

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 (a). -8 (b). 5 (c). 7 (d). 9

If the equation of the locus of a point equidistant from the points (a_1,b_1) and (a_2,b_2) is (a_1-a_2)x+(b_1-b_2)y+c=0 , then the value of C is

If a_1. a_2 ....... a_n are positive and (n - 1) s = a_1 + a_2 +.....+a_n then prove that (a_1 + a_2 +....+a_n)^n ge (n^2 - n)^n (s - a_1) (s - a_2)........(s - a_n)

If the coefficient of-four successive termsin the expansion of (1+x)^n be a_1 , a_2 , a_3 and a_4 respectivel. Show that a_1/(a_1+a_2)+a_3/(a_3+a_4)=2 a_2/(a_2+a_3)

PATHFINDER-TRIGONOMETRIC EQUATION AND INVERSE-QUESTION BANK
  1. Solve sin x + sqrt3 cos x = sqrt2

    Text Solution

    |

  2. Solve tan theta + tan 2theta + tan 3theta = 0

    Text Solution

    |

  3. The number of all possible triplets (a1,a2,a3) such that : a1 + a2cos2...

    Text Solution

    |

  4. Find the general solutions of: 2^(1 + abscosx + abs(cosx)^2 + abs(co...

    Text Solution

    |

  5. tan ((pip)/4) = cot((qpi)/4) if :

    Text Solution

    |

  6. The general solution of the equation : cos x cdot cos 6x = -1 is :

    Text Solution

    |

  7. Find the interval in which , cos^-1 x gt sin^-1 x.

    Text Solution

    |

  8. Solve the equation sin^-1 6x + sin^-1 6sqrt3 x = -pi/2

    Text Solution

    |

  9. Evaluate : sum(n = 1)^infty tan^-1(1/(n^2 + n + 1))

    Text Solution

    |

  10. If tan^-1 x + tan^-1 2x + tan^-1 3x = pi, then:

    Text Solution

    |

  11. The number of value of 'x' in the interval [0 , 3pi] satisfying the eq...

    Text Solution

    |

  12. The most general solution , satisfying the equation cos theta = 1/sqrt...

    Text Solution

    |

  13. The number of solution of 16^(sin^2 x) + 16^(cos^2 x) = 10 : 0 le x le...

    Text Solution

    |

  14. The equation sin^6 x + cos^6 x = k possesses solution if

    Text Solution

    |

  15. If 3^(sin 2x + 2 cos^2 x) + 3^( 1 - sin 2x + 2 sin^2 x) = 28, then tan...

    Text Solution

    |

  16. If sin^-1 x - cos^-1 x = pi/6 then x is

    Text Solution

    |

  17. The value of 'a' for which ax^2 + sin^-1 (x^2 - 2x + 2) + cos^-1 (x^2 ...

    Text Solution

    |

  18. The value of tan (pi/4 + 1/2 cos^-1(2/3))+tan(pi/4 - 1/2 cos^-1 (2/3))...

    Text Solution

    |

  19. The principal value of sin^-1 (-sqrt3/2)+cos^-1 cos((7pi)/6) is

    Text Solution

    |

  20. The value of tan (pi/4 + 1/2 cos^-1(2/3))+tan(pi/4 - 1/2 cos^-1 (2/3))...

    Text Solution

    |