Home
Class 12
MATHS
Let f(x)=int(1)^(x) sqrt(2-t^(2)) dt, th...

Let `f(x)=int_(1)^(x) sqrt(2-t^(2)) dt`, then the real roots of the equation `x^(2) -f'(x) =0` are

A

`pm 1`

B

`pm (1)/(sqrt(2))`

C

`pm(1)/(2)`

D

0 and 1

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|103 Videos
  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise Level - 1|190 Videos
  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise JEE Main & Advanced|8 Videos
  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|25 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=int_1^xsqrt(2-t^2)dtdot Then the real roots of the equation , x^2-f^(prime)(x)=0 are: +-1 b. +-1/(sqrt(2)) c. +-1/2 d. 0&1

Let f(x)=int_1^xsqrt(2-t^2)dtdot Then the real roots of the equation x^2-f^(prime)(x)=0 are (a) +-1 (b) +-1/(sqrt(2)) (c) +-1/2 (d) 0 and 1

If f(x)=int_(2)^(x)(dt)/(1+t^(4)) , then

Let f(x)=int_(2)^(x)f(t^(2)-3t+4)dt . Then

If int_(0)^(x^(2)) sqrt(1+t^(2)) dt, then f'(x)n equals

Let f(x)=int_(1)^(x)(3^(t))/(1+t^(2))dt , where xgt0 , Then

Let f(x) = int_(0)^(x)(t-1)(t-2)^(2) dt , then find a point of minimum.

Let f(x) = int_(0)^(x)|2t-3|dt , then f is

If f(x)=int_(x^2)^(x^2+1)e^(-t^2)dt , then f(x) increases in

If f(x)=x^(2)int_(0)^(1)f(t)dt+2 , then

VMC MODULES ENGLISH-INTEGRAL CALCULUS - 2 -JEE Main (Archive)
  1. If f(x)=int(x^2)^(x^2+1)e^(-t^2)dt , then f(x) increases in

    Text Solution

    |

  2. If I(m,n)=int0^1 t^m(1+t)^n.dt, then the expression for I(m,n) in term...

    Text Solution

    |

  3. Let f(x)=int(1)^(x) sqrt(2-t^(2)) dt, then the real roots of the equa...

    Text Solution

    |

  4. Let f: (0, infty) rarr R and F (x) = int(0) ^(x) f(t) dt . If F(x^(2)...

    Text Solution

    |

  5. The area of the quadrilateral formed by the tangents at the endpoint o...

    Text Solution

    |

  6. The area bounded by the curves y = |x| - 1 and y = -|x| +1 is equal to

    Text Solution

    |

  7. about to only mathematics

    Text Solution

    |

  8. int(-1)^(1)(x^2+1)dx is equal to

    Text Solution

    |

  9. The area (in sq. units) of the region described by {x,y):y^(2)le2x and...

    Text Solution

    |

  10. The area of the region described by A={(x,y):x^(2)+y^(2)le1 and y^(2)l...

    Text Solution

    |

  11. The area (in square units) bounded by the curves y=sqrt(x),2y-x+3=0, x...

    Text Solution

    |

  12. The area bounded by the curves y=(x-1)^(2),y=(x+1)^(2) " and " y=(1)/(...

    Text Solution

    |

  13. If the area enclosed between the curves y=a x^2a n dx=a y^2(a >0) is 1...

    Text Solution

    |

  14. If the area bounded by the curve y=f(x), x-axis and the ordinates x=1 ...

    Text Solution

    |

  15. about to only mathematics

    Text Solution

    |

  16. The area (in sq. units) bounded by the parabola y=x^2-1, the tangent a...

    Text Solution

    |

  17. The value of int(0)^(pi)|cos x|^(3)dx is :

    Text Solution

    |

  18. The area of the region A={(x,y), 0 le y le x|x|+1 and -1 le x le 1} in...

    Text Solution

    |

  19. underset0overset(pi/3)int tantheta/(sqrt(2ksectheta))d theta=1-1/sqrt2...

    Text Solution

    |

  20. Let f be a differentiable function from R to R such that |f(x) - f(y)...

    Text Solution

    |