Home
Class 12
MATHS
Sum of roots of the equation x^4-2x^2sin...

Sum of roots of the equation `x^4-2x^2sin^2(pix/2)+1=0` is `0` (b) 2 (c) 1 (d) 3

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Sum of roots of the equation x^(4)-2x^(2)sin^(2)(pi(x)/(2))+1=0 is 0(b)2(c)1 (d) 3

Sum of the roots of the equation x^(2) + |2x - 3| - 4 = 0 is

The number of roots of the equation x sin x=1,x in[-2 pi,0)uu(0,2 pi] is 2(b)3 (c) 4 (d) 0

The number of real roots of equation x^8-x^5+x^2-x+1=0 is (A) 2 (B) 4 (C) 6 (D) 0

The number of real solutions of the equation -x^2+x-1=sin^4x is (A) 1 (B) 2 (C) 0 (D) 4

The sum ofall the roots of the equation 6sin^(2)x+sin x-1=0 in x in[0,2 pi] is

The number of roots of the equation,x-(2)/(x-1)=1-(2)/(x-1) is 0(b)1(c)2(d)3

If sum of the roots of the quadratic equation,ax^(2)+bx+c=0, then the sum of the roots of the equation,a(x+1)^(2)+b(x+1)+c=0 is: (a)9 (b) 10 (c) 12(d)14

If a and b are roots of the equation x^2+a x+b=0 , then a+b= (a) 1 (b) 2 (c) -2 (d) -1

RESONANCE DPP-JEE MAINS-All Questions
  1. Let a ray of light leaves the point (3, 4) reflects from the y-axis an...

    Text Solution

    |

  2. The equation of the bisector of that angle between the lines x+2y-11=0...

    Text Solution

    |

  3. Sum of roots of the equation x^4-2x^2sin^2(pix/2)+1=0 is 0 (b) 2 ...

    Text Solution

    |

  4. DeltaABC is formed by the lines 2x-3y-6=0, 3x-y+3=0 and 3x+4y-12=0. If...

    Text Solution

    |

  5. If the tangent at a point P with parameter t, on the curve x=4t^2+3, y...

    Text Solution

    |

  6. The lines 3x+4y=9&4x-3y+12=0 intersect at Pdot The first line intersec...

    Text Solution

    |

  7. If f''(x)>0 and Q(x)=2f((x^2)/2)+f(6-x^2),AAx in R , then function Q(...

    Text Solution

    |

  8. If sum of the roots of the quadratic equation, a x^2+b x+c=0 , then t...

    Text Solution

    |

  9. If y= log 5 (log 7,x),then (dy)/(dx) =

    Text Solution

    |

  10. The equation of the base of an equilateral triangle A B C is x+y=2 and...

    Text Solution

    |

  11. The radius of a right circular cyliner increases at a constant rate. I...

    Text Solution

    |

  12. If (x1-x2)^2+(y1-y2)^2=144 ,(x2-x3)^2+(y2-y3)^2=25 and (x3-x1)^2+(y3-y...

    Text Solution

    |

  13. A circle with center in the first quadrant is tangent to y = x+10, y =...

    Text Solution

    |

  14. If A , B , C , D are the angles of a quadrilateral, then (tanA+tanB+...

    Text Solution

    |

  15. The point in the interval (0,2pi) where f(X) =e^(x) sinx has maximum s...

    Text Solution

    |

  16. A line x+3y=12 cuts the xa n dy axis in Aa n dB respectively. If Pa n ...

    Text Solution

    |

  17. If f is real-valued differentiable function such that f(x)f'(x)<0 for...

    Text Solution

    |

  18. The line 2x+3y=12 meets the x-axis at A and the y-axis at B . The line...

    Text Solution

    |

  19. Let the equations x^(3)+2x^(2)+px+q=0and x^(3)+x^(2)+px+r=0 have two t...

    Text Solution

    |

  20. Total number of values of ' x ' satisfying the equation, 2^(cos2x)=3. ...

    Text Solution

    |