Home
Class 12
MATHS
The equation 2x^2 + (a - 10)x + 33/2 = 2...

The equation `2x^2 + (a - 10)x + 33/2 = 2a` has real roots. Find least possible value of a.

Promotional Banner

Topper's Solved these Questions

  • JEE ( MAIN) 2020 QUESTIONS WITH SOLUTIONS B.ARCH (6TH JAN -MORING)

    MCGROW HILL PUBLICATION|Exercise Question|25 Videos

  • JEE (MAIN) 2020 QUESTION PAPER (7TH JAN - AFTERNOON)

    MCGROW HILL PUBLICATION|Exercise Multiple Choice Question|25 Videos

Similar Questions

Explore conceptually related problems

The equation 2x ^(3) -3x ^(2) +p=0 has three real roots. Then find the minimum value of p.

If the quadratic equation , 4^(sec^(2)alpha) x^(2) + 2x + (beta^(2)- beta + 1/2) = 0 have real roots, then find all the possible value of cos alpha + cos^(-1) beta .

If a and b are positive numbers and eah of the equations x^(2)+ax+2b=0 and x^(2)+2bx+a=0 has real roots,then the smallest possible value of (a+b) is

The quadratic equation 2x^(2) + x + 4 has ………real roots

If the roots of the equation x^(2)-8x+a^(2)-6a=0 are real distinct,then find all possible value of a .

Show that the equation 2x^(2)-6x+3=0 has real roots and find these roots.

The equation x^(2)+2(m-1)x+(m+5)=0 has real and equal roots. Find the value of m.

If 2 is a root of the equation x^(2) + kx +12=0 and the equation x^(2)+kx +q=0 has equal roots, find the value of q.

MCGROW HILL PUBLICATION-JEE (MAIN) 2020 QUESTION PAPER MATHEMATICS (8TH JAN - MORNING) -QUESTIONS
  1. The locus of a point which divides the line segment joining the point ...

    Text Solution

    |

  2. For a > 0, let the curves C(1) : y^(2) = ax and C(2) : x^(2) = ay int...

    Text Solution

    |

  3. f(x) = (8^(2x) - 8^(-2x))/(8^(2x) + 8^(-2x) find the inverse of the fu...

    Text Solution

    |

  4. lim(xrarr0) ((3x^2 + 2)/ (7x^2 +2))^(1/x^2) is equal to

    Text Solution

    |

  5. Let f(x) = {(sin (tan^(-1) x) + sin (cot^(-1) x)}^2 - 1, where |x| gt ...

    Text Solution

    |

  6. Roots of the equation x^2 + bx + 45 = 0, b in R lie on the curve |z + ...

    Text Solution

    |

  7. Mean and standard deviations of 10 observations are 20 and 2 respectiv...

    Text Solution

    |

  8. Let int (cos x dx)/(sin^3 x (1 + sin^6 x))^(2/3) = f(x), (1 + sin^6 x ...

    Text Solution

    |

  9. Let A and B be two independent events such that P(A) = 1/3 and P(B) = ...

    Text Solution

    |

  10. Let the volume of a parallelopiped whose coterminus edges are given by...

    Text Solution

    |

  11. Let two points be A(1,-1) and B(0, 2). If a point P(x', y') be such t...

    Text Solution

    |

  12. If the shortest distance between the lines (x-3)/(3)=(y-8)/(-1)=(z-3)/...

    Text Solution

    |

  13. Let the line y=mx and the ellipse 2x^(2)+y^(2)=1 intersect at a point ...

    Text Solution

    |

  14. If c is a point at which Roll's theorem holds for the function, f(x) =...

    Text Solution

    |

  15. Let f(x) = x cos^(-1)(sin-|x|), x in (-pi/2,pi/2)

    Text Solution

    |

  16. An urn contains 5 read marbels,4 black marbels and 3 white marbles. Th...

    Text Solution

    |

  17. If normal at P on the curve y^2 - 3x^2 + y + 10 = 0 passes through the...

    Text Solution

    |

  18. The equation 2x^2 + (a - 10)x + 33/2 = 2a has real roots. Find least p...

    Text Solution

    |

  19. Find the sum, sum(k=1) ^(20) (1+2+3+.....+k)

    Text Solution

    |

  20. The number of 3xx3 matrices with entries from the set {-1, 0,1} such t...

    Text Solution

    |