Home
Class 12
MATHS
Let f(x)=(1+m)x^2-2(1+3m)x+4(1+2m). Numb...

Let `f(x)=(1+m)x^2-2(1+3m)x+4(1+2m).` Number of integral values of `m` for which given quadratic expression is always positive is (A) `8` (B) `7` (C) `8` (D) `9`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos
  • LIMITS AND DERIVATIVES

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|5 Videos

Similar Questions

Explore conceptually related problems

The number of integral values of m for which the quadratic expression (1 + 2m)x^(2) - 2(1 + 3m)x + 4(1 + m), x in R , is always positive is

The number of negative intergral values of m for which the expression x ^(2) + 2(m -1) x +m +5 is positive AA x gt 1 is:

The least integral value of ' m ' for which the expression m x^2-4x+3m+1 is positive for every x in R is: 1 b. -2 c. -1 d. 2

The number of integral values of m for which the equation (1+m^(2)) x^(2) - 2(1+3m)x+(1+8m) = 0 , has no real roots is

The integral value of m for which the quadratic equation (2m-3)x^2-4x+2m-3=0 has both the roots negative is given by

The number of integral values of m for which the x-coordinate of the point of intersection of the lines 3x+4y=9 and y=m x+1 is also an integer is (a) -2 (b) 0 (c) 4 (d) 1

The number of integral values of m for which the x-coordinate of the point of intersection of the lines 3x+4y=9 and y=m x+1 is also an integer is (a) 2 (b) 0 (c) 4 (d) 1

The number of integral values of m for which the x-coordinate of the point of intersection of the lines 3x+4y=9 and y=m x+1 is also an integer is 2 (b) 0 (c) 4 (d) 1

Find a positive value of m for which the coefficient of x^2 in the expansion f (1+x)^m is 6.

Let x+(1)/(x)=2, y+(1)/(y)=-2 and sin^(-1)x+cos^(-1)y=m pi , then the value of m is

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-All Questions
  1. The equation of a tangent to the parabola, x^(2)=8y, which makes an an...

    Text Solution

    |

  2. Let S and S' be the foci of the ellipse and B be any one of the extrem...

    Text Solution

    |

  3. Let f(x)=(1+m)x^2-2(1+3m)x+4(1+2m). Number of integral values of m fo...

    Text Solution

    |

  4. Point P is at a height of 25m from surface of lake. The angel of eleva...

    Text Solution

    |

  5. The set of all values of lambda for which the system of linear equatio...

    Text Solution

    |

  6. Let a1, a2,...,a30 be an AP, S=sum(i=1)^(30)ai and T=sum(i=1)^(15)a(2i...

    Text Solution

    |

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

    Text Solution

    |

  8. If the system of linear equations x - 4y + 7z = g 3y - 5z = h -2...

    Text Solution

    |

  9. The logical statement [~(~pvee q) vee (p vee r) wedge (~q wedge r)] i...

    Text Solution

    |

  10. Equation of the plane containing the straight line (x)/(2)= (y)/(3)= (...

    Text Solution

    |

  11. The number of all possible positive integral values of alpha for whic...

    Text Solution

    |

  12. Let veca = 2hati+lambda1 hatj+3hatk, vec(b)=4hati+(3-lambda2) hatj+6ha...

    Text Solution

    |

  13. Let d in R, and A = [(-2,4+d,(sintheta)-2),(1,(sintheta)+2,d),(5,(...

    Text Solution

    |

  14. The area enclosed between the curves y=kx^2" and " x=ky^2,(kgt0) is 1 ...

    Text Solution

    |

  15. Let L be the line of intersection of the planes 2x""+""3y""+""z""=""...

    Text Solution

    |

  16. The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+...

    Text Solution

    |

  17. Let the length of the latus rectum of an ellipse with its major axis a...

    Text Solution

    |

  18. Let S={1,2,...,20}. A subset B of S is said to be ''nice'', if the sum...

    Text Solution

    |

  19. An ordered pair (alpha, beta) for which the system of linear equations...

    Text Solution

    |

  20. The product of three consecutive terms of a G.P. is 512. If 4 is added...

    Text Solution

    |