Home
Class 12
MATHS
Let the function f: [-7,9] to R be c...

Let the function `f: [-7,9] to R ` be continuous on ` [-7,0]` and differential on `(-7,0)` . If ` f(-7) =-3` and ` f'(x) le 2 ` , for all ` x in (-7,0)` , then for all such function ` f,f(-1)+ f(0)` lies in the interval :

A

`[-6,20]`

B

`[-oo ,20]`

C

`[-oo,11]`

D

`[-3,11]`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER ( SECTION -A)|6 Videos
  • APPLICATION OF INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER ( SECTION -B)|3 Videos
  • APPLICATION OF INTEGRALS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXAMPLAR PROBLEMS ( OBJECTIVE TYPE QUESTIONS)|11 Videos
  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER - 6 (SECTION - D)|2 Videos
  • BOARD'S QUESTION PAPER MARCH - 2020

    KUMAR PRAKASHAN|Exercise PART - B (Section - C)|4 Videos

Similar Questions

Explore conceptually related problems

Prove that the function f(x)= x^(2) is continuous at x=0.

Let f be an even function and f'(0) exists, then f'(0) is

Let f(x) be continuous and differentiable function for all reals and f(x + y) = f(x) - 3xy + f(y). If lim_(h to 0)(f(h))/(h) = 7 , then the value of f'(x) is

Let f be differentiable function satisfying f((x)/(y))=f(x) - f(y)"for all" x, y gt 0 . If f'(1) = 1, then f(x) is

Let f(x+y) = f(x) + f(y) - 2xy - 1 for all x and y. If f'(0) exists and f'(0) = - sin alpha , then f{f'(0)} is

Let f be a function defined on [a,b] such that f'(x)gt 0 , for all x in (a, b) . Then prove that f is an increasing function on (a, b).

Let f(x) be a continuous function defined for 1 <= x <= 3. If f(x) takes rational values for all x and f(2)=10 then the value of f(1.5) is :

Let f(x) be a fourth differentiable function such f(2x^2-1)=2xf(x)AA x in R, then f^(iv)(0) is equal

Let f : R rarr R satisfying |f(x)|le x^(2), AA x in R , then show that f(x) is differentiable at x = 0.

Let f(x) is a function continuous for all x in R except at x = 0 such that f'(x) lt 0, AA x in (-oo, 0) and f'(x) gt 0, AA x in (0, oo) . If lim_(x rarr 0^(+)) f(x) = 3, lim_(x rarr 0^(-)) f(x) = 4 and f(0) = 5 , then the image of the point (0, 1) about the line, y.lim_(x rarr 0) f(cos^(3) x - cos^(2) x) = x. lim_(x rarr 0) f(sin^(2) x - sin^(3) x) , is

KUMAR PRAKASHAN-APPLICATION OF INTEGRALS-SOLUTIONS OF NCERT EXAMPLAR PROBLEMS ( MULTIPLE CHOICE QUESTIONS)
  1. The area of the quadrilateral formed by the tangents drawn at ex...

    Text Solution

    |

  2. The area of the region bounded bwtween the curve y=2^x and y=...

    Text Solution

    |

  3. f(x) = min { x+1 , sqrt((1-x))} the area of the region bounded by ...

    Text Solution

    |

  4. The area of the region bounded by the curves y=2 -|2-x| and y= ...

    Text Solution

    |

  5. The area of the region bounded by the curves y= xe^x , y= xe^(-...

    Text Solution

    |

  6. The area of the region bounded by the curve (y-x)^2 =x^3 and the ...

    Text Solution

    |

  7. The area of the region enclosed by the curves |x+y-1| + |2x +y...

    Text Solution

    |

  8. The area of the region bounded by the curve y= cos x,y = sin x...

    Text Solution

    |

  9. The area of the region enclosed by the curve y= |sin x| X- axis ...

    Text Solution

    |

  10. The area of the region bounded by the lines y=|x| , X- axis and |...

    Text Solution

    |

  11. The area of the reagion bounded by the curve y=[x] and the lines ...

    Text Solution

    |

  12. If A ={(x,y} ,x^2 +y^2 le 1 and y^2 le 1 -x} then the area of A is...

    Text Solution

    |

  13. The area of the region bounded by {(x,y) : y^2 ge 2x and x^2 +...

    Text Solution

    |

  14. The area of region bounded by { (x,y) : x ge 0, x+y le 3, x^2 ...

    Text Solution

    |

  15. Area bounded by curve y= tan pi x , x in [-1/4 ,1/4] and X-axis is...

    Text Solution

    |

  16. If the area of the region bounded by two curves y=x^2 and y=x^3 ...

    Text Solution

    |

  17. Area bounded by the ellipse (x^2 )/(4) +(y^2)/(16) =4 is …….

    Text Solution

    |

  18. Let x^k +y^k =a^k (a,k gt 0) and (dy)/(dx) +((y)/(x))^(1/3) =0 then...

    Text Solution

    |

  19. Let the function f: [-7,9] to R be continuous on [-7,0] and di...

    Text Solution

    |

  20. The area ( in Sq. units ) of the region {(x ,y) in R |4x^2 le y...

    Text Solution

    |