Home
Class 12
MATHS
Find the roots of the following quadrati...

Find the roots of the following quadratic equations `x^2-2x-3`

Text Solution

Verified by Experts

The correct Answer is:
A
Put `x^(2)=t` and `2xdx=dt`
`:. I=1/2int_(In2)^(In3)(sint)/(sint+sin(In6-t)dt`
`=1/2int_(In2)^(In3)(sin(In6-t))/(sin(In6-t)+sint)dt`
`:.2I=1/2int_(In2)^(In3)1dt` or `I=1/4 In 3/2`
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION

    CENGAGE|Exercise JEE Main Previous Year|12 Videos

  • CURVE TRACING

    CENGAGE|Exercise Exercise|24 Videos

  • DETERMINANT

    CENGAGE|Exercise Multiple Correct Answer|5 Videos

Similar Questions

Explore conceptually related problems

Determine the nature of the roots for the following quadratic equations x^(2)-x-1=0

Find the roots of the following quadratic equations, if they exist. 4x^(2)+4sqrt(3)x+3=0

Find the roots of the following quadratic equations, if they exist. 2x^(2)-2sqrt(2)x+1=0

Find the roots of the following quadratic equations, if they exist. 2x^(2)+x-4=0

Find the roots of the following quadratic equations, if they exist. 5x^(2)-7x-6=0

Find the roots of the following quadratic equations, if they exist. x^(2)+5=-6x

Find the roots of the following quadratic equations, if they exist. x^(2)+4x+5=0

Solve the following quadratic equations : x^(2)-4x-3=0

CENGAGE-DEFINITE INTEGRATION -JEE Advanced Previous Year
  1. The value of int0^1(x^4(1-x)^4)/(1+x^2)\ dx is

    Text Solution

    |

  2. Let f be a real-valued function defined on the inverval (-1,1) such th...

    Text Solution

    |

  3. Find the roots of the following quadratic equations x^2-2x-3

    Text Solution

    |

  4. Let f:[-1,2]vec[0,oo) be a continuous function such that f(x)=f(1-x)fo...

    Text Solution

    |

  5. Let f:[1/2,1]vecR (the set of all real numbers) be a positive, non-con...

    Text Solution

    |

  6. Let f:[0,2]vecR be a function which is continuous on [0,2] and is diff...

    Text Solution

    |

  7. int((pi)/4)^((pi)/2)(2cosecx)^17 dx

    Text Solution

    |

  8. Find A × B, A × A and B × A : A = {1, 2, 3} and B = {1, −4}.

    Text Solution

    |

  9. Evaluate: int(-pi//2)^(pi//2)(cosx)/(1+e^x)dx

    Text Solution

    |

  10. If In=int(-pi)^(pi) \ (sinnx)/((1+pi^x) \ sinx) \ dx, n=0,1,2,...... t...

    Text Solution

    |

  11. about to only mathematics

    Text Solution

    |

  12. Let S be the area of the region enclosed by y=e^-x^2,y=0,x=0,a n dx=1....

    Text Solution

    |

  13. For a in R (the set of all real numbers), a!=-1), (lim)(nvecoo)((1^a...

    Text Solution

    |

  14. Let f be a continuous function on [a ,b]dot Prove that there exists a ...

    Text Solution

    |

  15. Let f:(0,oo) in R be given f(x)=overset(x)underset(1//x)int e^-(t+(1...

    Text Solution

    |

  16. The option(s) with the values of aa n dL that satisfy the following eq...

    Text Solution

    |

  17. Given A = {2,4,5 }, B = {2, 5}, C = {3, 4} and D = {1, 3, 5}, check if...

    Text Solution

    |

  18. ("lim")(xvecoo)((n^2)/(n^2))^(n(n-1)i se q u a lto e (b) e^2 (c) e^(...

    Text Solution

    |

  19. Let f: RvecR be a continuous function which satisfies f(x)= int0^xf(t...

    Text Solution

    |

  20. int(1)/(x(logx)log(logx))dx=

    Text Solution

    |