Home
Class 11
MATHS
If x1, a n dx2 are the roots of x^2+(si...

If `x_1, a n dx_2` are the roots of `x^2+(sintheta-1)x-1/2(cos^2theta)=0,` then find the maximum value of `x_1^2+x_2^2`

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

y=sin^(-1)(x/2)+cos^(-1)(x/2) then find the value of [dy/dx]_(x=1)

If 2x + 1/x = 2, then find the value of (x)/(2x^2+x+1) .

If cos^(-1)((6x)/(1+9x^2))=-pi/2+2tan^(-1)3x , then find the value of x

If alphaandbeta be the roots of the quadratic equation 2x^(2)+2x-3=0 , then find the values of alpha+beta+1

If alphaandbeta be the roots of the equation 5x^(2)+2x-3=0 , then find the values of ((1)/(alpha)+(1)/(beta))

If int_0^1e^ (-x^2) dx=a , then find the value of int_0^1x^2e^ (-x^2) dx in terms of a .

If x_1a n dx_2 are the roots of the equation e^2 x^(lnx)=x^3 with x_1> x_2, then x_1=2x_2 (b) x_1=x2 2 2x_1=x2 2 (d) x1 2=x2 3

Find the roots of the equation 2x^2 - x + 1/8 = 0

If f(x)=(a^x)/(a^x+sqrt(a ,)),(a >0), then find the value of sum_(r=1)^(2n-1)2f(r/(2n))

If I_(1)=int_(0)^(1)(dx)/(e^(x)(1+x)) and I_(2)=int_(0)^(pi//4)(e^(tan^(2)theta)sintheta)/((2-tan^(2)theta)cos^(3)theta) d theta ,then find the value of (l_(1))/(l_(2)) .

CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. The value of a so that the sum of the squares of the roots of the equa...

    Text Solution

    |

  2. For all complex niumbers z1, z2 satisfying absz1=12 and abs(z2-3-4i)=5...

    Text Solution

    |

  3. If x1, a n dx2 are the roots of x^2+(sintheta-1)x-1/2(cos^2theta)=0, ...

    Text Solution

    |

  4. If y="sec"(tan^(-1)x),t h e n(dy)/(dx)a tx=1 is (a)cos(pi/4) (b) s...

    Text Solution

    |

  5. If p ,q in {1,2,3,4,} , then find the number of equations of form px^2...

    Text Solution

    |

  6. If a^2+b^2=1 t h e n (1+b+i a)/(1+b-i a)= 1 b. 2 c. b+i a d. a+...

    Text Solution

    |

  7. Find the domain and the range of f(x)=sqrt(x^2-3x.)

    Text Solution

    |

  8. Show that the equation Z^4+2Z^3+3Z^2+4Z+5=0 has no root which is eithe...

    Text Solution

    |

  9. Find the domain and range of f(x)=sqrt(3-2x-x^2)

    Text Solution

    |

  10. If x in (0,pi//2)a n dcosx=1//3 , then prove that sum(n=0)^oo(cosn x)/...

    Text Solution

    |

  11. Prove that if the equation x^2+9y^2-4x+3=0 is satisfied for real value...

    Text Solution

    |

  12. Let Zp=rp(costhetap+isinthetap),p=1,2,3a n d1/(Z1)+1/(Z2)+1/(Z3)=0. Co...

    Text Solution

    |

  13. Find the least value of ((6x^2-22 x+21))/((5x^2-18x+17)) for real xdot

    Text Solution

    |

  14. Let a ,b and c be any three nonzero complex number. If |z|=1 and' z ' ...

    Text Solution

    |

  15. Find the range of the function f(x)=x^2-2x-4.

    Text Solution

    |

  16. if x=9^(1/3)9^(1/9)9^(1/27)…..infty,y=4^(1/3)4^(1/9)4^(1/27)…..infty a...

    Text Solution

    |

  17. Find the linear factors of 2x^2-y^2-x+x y+2y-1.

    Text Solution

    |

  18. If a<0,b>0, then sqrt(a)sqrt(b) is equal to (a)-sqrt(|a|b) (b...

    Text Solution

    |

  19. The value(s) of m for which the expression 2x^2+mxy+3y^2-5y-2 can be ...

    Text Solution

    |

  20. Find the number of solutions of z^2+overlinez = 0

    Text Solution

    |