Home
Class 12
MATHS
Write the least value of a for which the...

Write the least value of a for which the function f defined by `f(x)=x^2+ax+1` increases.

Text Solution

Verified by Experts

The correct Answer is:
Least value of a=-2
Promotional Banner

Topper's Solved these Questions

  • TEST PAPER 3

    MODERN PUBLICATION|Exercise PROBLEM|63 Videos
  • TEST PAPER 5

    MODERN PUBLICATION|Exercise PROBLEM|41 Videos

Similar Questions

Explore conceptually related problems

Write the set of values of k for which the function f (x) = kx-sinx is increasing.

Determine the values of x for which the function f(x)= x^x, xgt0 is increasing or decreasing.

Find the values of a and b such that the function f defined by f(x) = {(ax^2+b, if x 1):} .

For which value of x, the function f(x) = 5-6x is increasing.

Find the value of k if the function f(x) defined by f(x)={(2x-1,when x 2):} is continous at x=2.

Examine the continuity of the function f defined by f(x) = {[2x+1if x 1]:} .

Find the value of a such that the function f defined by f(x)={((sinax)/(sinx) if xne0),(1/a if x=0):} is continuous at x=0.

Find the value of a, so that the function f(x) is defined by f(x)={{:((sin^(2)"ax")/(x^(2))", "x!=0),("1, "x=0):} may be continuous at x=0.

MODERN PUBLICATION-TEST PAPER 4-PROBLEM
  1. Express the value of "cosec"("cos"^(-1) 3/5 +"cos"^(-1) 4/5) in simple...

    Text Solution

    |

  2. Let x Epsilon (2 π/4, π), y=| cos x | +| sin x | what is dy/dx ?

    Text Solution

    |

  3. Write the least value of a for which the function f defined by f(x)=x^...

    Text Solution

    |

  4. Evaluate:int x^2 dx/x*3 +1.

    Text Solution

    |

  5. Find the differential equation n whcse solution is : y = ax^2 + bx + c...

    Text Solution

    |

  6. What is the projection of the line segment joining (1,3,-1) and (3,2,4...

    Text Solution

    |

  7. If vec a=(2,-2,1), vec b =(2,3,6) and vec c =(-1,0,2) then what is the...

    Text Solution

    |

  8. An animal feed company must produce 200kg of a mixture consisting of i...

    Text Solution

    |

  9. Check if the relation R on set of real numbers, defined as R = {(a,b) ...

    Text Solution

    |

  10. Verify that A=[[a,b],[c,d]] satisfies the equation A^2-(a+d)A+(ad-bc...

    Text Solution

    |

  11. If A+B+C = pi, prove that [[sin^2A,cotA,1],[sin^2B,cotB,1],[sin^2C,c...

    Text Solution

    |

  12. If A=[[1,2,3],[3,-2,1],[4,2,1]]"show that"A^3-23A-40I=0

    Text Solution

    |

  13. Show that (a+1) is a factor of abs([(a+1),2,3],[1,a+1,3],[3,-6,a+1])

    Text Solution

    |

  14. Find the dy/dx when x = a[cos t + log tan (t//2)], y = a sin t

    Text Solution

    |

  15. Prove that: y = (4 sin theta)/(2 +cos theta)- theta is an increasing f...

    Text Solution

    |

  16. inttan^-1(secx+tanx)dx

    Text Solution

    |

  17. If the magnitude of the difference of two unit vectors is sqrt3 then f...

    Text Solution

    |

  18. Find the equation of the plane if the point (5,-3,4) is the foot of th...

    Text Solution

    |

  19. Proved that the line (x-1)/2=(y+2)/(-3)=(z-3)/1 lies on the plane 7x+5...

    Text Solution

    |

  20. Find the points of intersection of the line (x-1)/1=(y+2)/ 3 =(z-1)/(...

    Text Solution

    |