Home
Class 11
MATHS
The number of solution of the pair of eq...

The number of solution of the pair of equations `2sin^2theta-cos2theta=0a n d 2cos^2theta-3sintheta=0` in the interval `[0,2pi]` is 0 (b) 1 (c) 2 (d) 4

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

The number of solutions of the pair of equations 2sin^2theta-cos2theta=0 2cos^2theta-3sintheta=0 in the interval [0,2pi] is

The number of solutions of the pair of equations 2sin^2 theta - cos(2 theta)=0,2cos^2 theta-3sin theta=0 in the interval [0,2pi] is

The number of solutions of the pair of equations 2sin^2theta−cos2theta=0 and 2cos ^2 θ−3sinθ=0 in the interval [0,2π] is :

The number of solutions of the pair of equations 2 sin ^(2) theta - cos 2 theta =0,2 cos ^(2) theta - 3 sin theta =0 in the interval [0, 2 pi] is (a) zero (b) one (c ) two (d) four

Statement-1: The number of solutions of the simultaneous system of equations 2"sin"^(2)theta-"cos" 2 theta =0 2"cos"^(2)theta - 3"sin" theta = 0" in the interval "[0, 2pi] is two. Statement-2: If 2"cos"^(2)theta-3"sin" theta = 0, "then" theta does not lie in in III or IV quadrant.

Solve the following equation: sin3theta+cos2theta=0

The number of solution of the equation sin theta cos theta cos 2 theta .cos 4theta =1/2 in the interval [0,pi]

The number of solution the equation cos(theta)cos(pitheta)=1 has 0 (b) 2 (c) 4 (d) 2

The number of solution the equation cos(theta).cos(pitheta)=1 has 0 (b) 2 (c) 4 (d) 2

The number of solutions of the equation sin 2 theta-2 cos theta +4 sin theta=4 in [0, 5pi] is equal to

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If s e c^2theta=(4x y)/((x+y)^2) is true if and only if (a)x+y!=0 (b)...

    Text Solution

    |

  2. Prove that in a A B C ,sin^2A+sin^2B+sin^2C<=9/4dot

    Text Solution

    |

  3. The number of solution of the pair of equations 2sin^2theta-cos2theta=...

    Text Solution

    |

  4. The rational number which equals the number 2. 357 with recurring de...

    Text Solution

    |

  5. If (cos^4A)/(cos^2B)+(sin^4A)/(sin^2B)=1 then prove that (cos^4B)/(cos...

    Text Solution

    |

  6. Prove that r1+r2+r3-r=4R

    Text Solution

    |

  7. Number of solution of equation 2sinx/2cos^2x-2sinx/2sin^2x=cos^2x-sin^...

    Text Solution

    |

  8. If cot(theta-alpha),3cottheta,"cot"(theta+alpha) are in A.P. and theta...

    Text Solution

    |

  9. If x=sectheta-tanthetaa n dy=cos e ctheta+cottheta, then prove that x...

    Text Solution

    |

  10. If A >0,B >0a n dA+B=pi/3, the maximum value of tanAtanB is

    Text Solution

    |

  11. Prove that cosA+cosB+cosC=1+r/R

    Text Solution

    |

  12. denote the positive solution of the equation 3+3costheta=2sin^2thetado...

    Text Solution

    |

  13. If (sec^4theta)/a+(tan^4theta)/b=1/(a+b), then prove that |b|lt=|a| .

    Text Solution

    |

  14. Prove that: ((cosA+cos B)/(sinA-sinB))^n+((sinA+sinB)/(cosA-cosB))^n={...

    Text Solution

    |

  15. Prove that ("a c o s"A+b cosB+c cosC)/(a+b+c)=r/Rdot

    Text Solution

    |

  16. Find the number of solution of the equation 1+e^(cot^2x)=sqrt(2|sinx|-...

    Text Solution

    |

  17. If a^2+b^2+2a bcostheta=1,c^2+d^2+2c dcostheta=1 and a c+b d+(a d+b c)...

    Text Solution

    |

  18. If r1=r2+r3+r prove that the triangle is right angled .

    Text Solution

    |

  19. Find the number of solution of theta in [0,2pi] satisfying the equati...

    Text Solution

    |

  20. Prove that (cosalpha+cosbeta)^2+(sinalpha+sinbeta)^2=4cos^2((alpha-bet...

    Text Solution

    |