Home
Class 11
MATHS
if costheta , sinphi , sintheta are in g...

if cos`theta` , sin`phi` , sin`theta` are in g.p then check the nature of roots of `x^2+2cotphi.x + 1=0`

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise All Questions|363 Videos

  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|1167 Videos

Similar Questions

Explore conceptually related problems

If sin theta sin phi - cos theta cos phi+1 =0 then the value of 1+ cot theta tan phi is-

If cos theta - sin theta = sqrt2 sin theta , then show that cos theta+sin theta = sqrt2 cos theta .

If 0 lt theta lt pi/2 and sin 2 theta = cos 3 theta, then the value of sin theta is-

If sin theta+cos theta=0 and 0gt theta gt phi then theta

If x= r sin theta cos phi , y=rsin theta sin phi and z=r costheta then the value of sqrt(x^2+y^2+z^2) will be

If cos^2 theta-sin^2 theta= 1/2 then cos^4 theta-sin^4 theta=?

If sin theta + sin phi = 2 ,then which of the following is the value of cos(theta + phi)

If 2 sin theta cos theta = 1 , then find the value of sin theta-cos theta .

If cos^2theta-sin^2 theta = 1/2 . Then tan theta =

If sin theta, tan theta, cos theta are in G.P. then 4 sin^(2)theta-3 sin^(4)theta+sin^(6)theta=

CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. if arg(z+a)=pi/6 and arg(z-a)=(2pi)/3 then

    Text Solution

    |

  2. Values (s)(-i)^(1/3) is/are (sqrt(3)-i)/2 b. (sqrt(3)+i)/2 c. (-sqrt(...

    Text Solution

    |

  3. if costheta , sinphi , sintheta are in g.p then check the nature of ro...

    Text Solution

    |

  4. Given z=(1+isqrt(3))^(100), then [Re(z)//Im(z)] equals (a)2^(100) ...

    Text Solution

    |

  5. If a ,b ,c are non zero rational no then prove roots of equation (a b ...

    Text Solution

    |

  6. If a b+b c+c a=0, then solve a(b-2c)x^2+b(c-2a)x+c(a-2b)=0.

    Text Solution

    |

  7. If (costheta +isintheta)(cos2theta +isin2theta).....(cosntheta + isinn...

    Text Solution

    |

  8. The polynomial x^6+4x^5+3x^4+2x^3+x+1 is divisible by where omega is o...

    Text Solution

    |

  9. If roots of equation 3x^2+5x+1=0 are (sectheta1-t a ntheta1) and (cos ...

    Text Solution

    |

  10. If roots of the equation a x^2+b x+c=0 be a quadratic equation and α,β...

    Text Solution

    |

  11. Find the principal argument of the complex number ((1+i)^5(1+sqrt(3i))...

    Text Solution

    |

  12. Form a quadratic equation with real coefficients whose one root is 3-2...

    Text Solution

    |

  13. Number of solutions of the equation z^3+[3(barz)^2]/|z|=0 where z is a...

    Text Solution

    |

  14. If the roots of the quadratic equation x^2+p x+q=0 are tan30^0 and tan...

    Text Solution

    |

  15. If x and y are complex numbers, then the system of equations (1+i)x+(1...

    Text Solution

    |

  16. If a ,b , and c are in A.P. and one root of the equation a x^2+bx+c=0 ...

    Text Solution

    |

  17. If z=x+iy (x, y in R, x !=-1/2), the number of values of z satisfying ...

    Text Solution

    |

  18. If K + |K + z^(2)| =| z|^(2) ( K in R^(-)) , then possible argument ...

    Text Solution

    |

  19. If alpha is the root (having the least absolute value) of the equation...

    Text Solution

    |

  20. If alpha,beta are roots of x^2-3x+a=0 , a in R and alpha &lt;1< beta...

    Text Solution

    |