Home
Class 12
MATHS
Let lambda in R and let the equation E b...

Let `lambda in R` and let the equation E be `|x|^2-2|x|+|lambda-3|=0`. Then the largest element in the set S={x + `lambda` , x is an integer solution of E} is`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION - B)|10 Videos

  • LIMITS AND DERIVATIVES

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|14 Videos

Similar Questions

Explore conceptually related problems

If the roots of the equation x^(2)+3x+2=0 and x^(2)-x+lambda=0 are in the same ratio then the value of lambda is given by

If the equation 2 cos x + cos 2 lambda x=3 has only one solution , then lambda is

If the equation 3x^(2)+3y^(2)+6 lambda x+2 lambda=0 represents a circle,then the value of lambda. lies in

If the equation |x^(2)-5x+6|-lambda x+7 lambda=0 has exactly 3 distinct solutions then lambda is equal to

Let the equations x+y+z=5,x+2y+2z=6,x+3y+lambda z=mu have infinite solutions then the value of lambda+mu is

The equation (x^(2)-6x+8)+lambda (x^(2)-4x+3)=0, lambda in R has

the equation (x^(2)-6x+8)+lambda(x^(2)-4x+3)=0 for lambda varepsilon R-{-1} has

If alpha,beta be the roots of the equation 4x^(2)-16x+lambda=0 where lambda in R such that 1

If x=-1 and x=(1)/(5) are solutions of the equations x^(2)+kx+lambda=0. Find the value of k and lambda

If alpha,beta be the roots of the equation 4x^2-16x+lambda=0 , lambda in R such that 1

JEE MAINS PREVIOUS YEAR-JEE MAINS 2023 JAN ACTUAL PAPER-Question
  1. The relation R={(a,b): qcd(a,b)=1 , 2a!=b,a,d in z } is :

    Text Solution

    |

  2. Let vecu=veci-vecj-2^k, vec v =2vec i +vecj-vec k ,vecv.vecw=2 and vec...

    Text Solution

    |

  3. Let lambda in R and let the equation E be |x|^2-2|x|+|lambda-3|=0. The...

    Text Solution

    |

  4. A boy needs to select five courses from 12 available courses, out of w...

    Text Solution

    |

  5. The value of 8/pi int(0)^(pi/2)(cosx)^(2023)/((sinx)^(2023)+(cosx)^(20...

    Text Solution

    |

  6. The shortest distance between the line (x-2)/3=(y+1)/2=(z-6)/2 and (x-...

    Text Solution

    |

  7. The 4^th term of GP is 500 and its common ratio is 1/m, m in N .let S ...

    Text Solution

    |

  8. Let C be the largest circle centred at (2, 0) and inscribed in the ell...

    Text Solution

    |

  9. Let a tangent to the curve 9x^2 +16y^2 = 144, intersects the coordinat...

    Text Solution

    |

  10. Suppose sum(r=0)^2023r^2"^(2023)Cr=2023 xx alpha xx 2^(2022) Then the ...

    Text Solution

    |

  11. The value of 12 int0^3|x^2-3x+2|dx is

    Text Solution

    |

  12. The number of 9 digit numbers, that can be formed using all the digit ...

    Text Solution

    |

  13. The Mean & Variance of the marks obtained by the student in a test are...

    Text Solution

    |

  14. If ar is coefficient of x^(10 – r) in the Binomial expansion of (1 + x...

    Text Solution

    |

  15. Let y=(x) be the solution curve of the differential equation dy/dx = y...

    Text Solution

    |

  16. Let f (x)=int(2x)/((x^2+1)(x^2+3))dx. if f (3)=1/2(loge5-loge6),then f...

    Text Solution

    |

  17. The minimum value of the function f(x)=int(0)^2e^(|x-t|)dt is:

    Text Solution

    |

  18. Let f:(0,1) rarr IR be a function defined by f(x)=1/(1-e(-x)),and g(x)...

    Text Solution

    |

  19. Let z1=2+3i and z2=3+4i. The set S={z in C:|z-z1|^(2)-|z-z2|^2=|z1-z2|...

    Text Solution

    |

  20. The distance of the point (6,-2 sqrt 2) from the common tangent y = mx...

    Text Solution

    |