Home
Class 11
MATHS
Suppose that for some angles xa n dy , t...

Suppose that for some angles `xa n dy ,` the equations `sin^2x+cos^2y=(3a)/2a n dcos^2x+sin^2y=(a^2)/2` hold simultaneously. the possible value of `a` is ___________

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

Solve the system of equations tan^2 x + cot^(2) x = 2cos^(2)y cos^(2)y+sin^(2)z=1

Solve the following system of equations. sin x + cos y=1, cos 2x-cos 2y=1

Find the smallest positive values of xa n dy satisfying x-y=pi/4a n dcotx+coty=2

Consider the system of equations x cos^(3) y+3x cos y sin^(2) y=14 x sin^(3) y+3x cos^(2) y sin y=13 The value/values of x is/are

Find the value of 'a' which the system of equation sin x * cos y=a^(2) and sin y* cos x =a have a solution

Consider the system of equations sin x cos 2y=(a^(2)-1)^(2)+1, cos x sin 2y = a+1 The number of values of a for which the system has a solution is

Solve sin^2x+cos^2y=2sec^2z for x , y ,a n dzdot

Solve sin^2x+cos^2y=2sec^2z for x , y ,a n dzdot

Prove that : (cos x + cos y)^2 + (sin x - sin y)^2 = 4 cos^2\ (x+y)/2

Solve the equation for x and y , |sin x + cos x|^( sin^(2) x-1//4)=1+|siny| and cos^(2)y=1+sin^(2)y .

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. The smallest positive value of x (in radians) satisfying the equation...

    Text Solution

    |

  2. In convex quadrilateral A B C D ,A B=a ,B C=b ,C D=c ,D A=d . This qua...

    Text Solution

    |

  3. Suppose that for some angles xa n dy , the equations sin^2x+cos^2y=(3a...

    Text Solution

    |

  4. The number of distinct real roots of the equation tan(2pix)/(x^2+x+1)=...

    Text Solution

    |

  5. In a cyclic quadrilateral PQRS, PQ= 2 units, QR= 5 units, RS=3 units ...

    Text Solution

    |

  6. The number of solution of the equation sin2theta-2costheta+4sintheta=4...

    Text Solution

    |

  7. If 0 lt x lt 5/4 and cosx+sinx=5/4 then the value of 16(cosx-sinx)^2 i...

    Text Solution

    |

  8. If Delta represents the area of acute angled triangle ABC, then sqrt(a...

    Text Solution

    |

  9. In Triangle A B C ,B C=8,C A=6a n dA B=10. A line dividing the triangl...

    Text Solution

    |

  10. If 1/6sintheta,costheta,tantheta are in GdotPdot, then theta is equ...

    Text Solution

    |

  11. If the angles of a triangle are 30^0a n d45^0 and the included side i...

    Text Solution

    |

  12. The number of solutions of equation 6cos2theta+2cos^2(theta/2)+2sin^2t...

    Text Solution

    |

  13. The circumference of a circle circumscribing an equilateral triangle i...

    Text Solution

    |

  14. In A B C ,a , ca n dA are given and b1,b2 are two values of the third...

    Text Solution

    |

  15. Two circles of radii 4cm and 1cm touch each other externally and theta...

    Text Solution

    |

  16. Which of the following is not the general solution of 2^(cos2x)+1=3. 2...

    Text Solution

    |

  17. If area of ΔA B C(Δ) and angle C are given and if the side c opposite...

    Text Solution

    |

  18. Let P Q and R S be tangent at the extremities of the diameter P R of...

    Text Solution

    |

  19. The number of solutions of 12cos^3x-7cos^2x+4cosx=9 is (a) 0 (b) 2 (...

    Text Solution

    |

  20. If the sines of the angles A and B of a triangle ABC satisfy the equ...

    Text Solution

    |