Home
Class 12
MATHS
Let X = {x in N : 1 le x le 17 ...

Let ` X = {x in N : 1 le x le 17 }` and `Y ={ax + b : x in X and a,b, in R ` ,` a > 0}` . If `mean` `and variance` of elements of `Y` are ` 17 and 216 ` respectively then `a + b` is equal to

A

9

B

7

C

`-7`

D

`-27`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos
  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A )|20 Videos

Similar Questions

Explore conceptually related problems

y - 2x le 1, x + y le 2, x ge 0, y ge 0

2x + y le 6, x + 2y le 8, x ge 0, y ge 0

Let X = {n in N :1 le n le 50} . If A = {n in X: " n is a multiple of 2 "} and B= {n in X: " n is a multiple of 7"} , then the number of elements in the largest subset of X containing neither an element of A nor an element of B is_______

x-y le 2, x + y le 4 , x ge 0, y ge

y={(ax+b):agt0},x={x:1lexle17} Mean and Variance of y are 17 and 216 . Find a and b

x + 2y le 40, 2x + y le 40, x ge 0, y ge 0

JEE MAINS PREVIOUS YEAR-JEE MAINS 2020-MATHEMATICS
  1. If R = {( x,y ) : x,y,in Z , x^2 + 3y^2 le 8} is a relation o...

    Text Solution

    |

  2. Box I contains 30 cards numbered 1 to 30 and box II contains ...

    Text Solution

    |

  3. Let X = {x in N : 1 le x le 17 } and Y ={ax + b : x in X...

    Text Solution

    |

  4. Let alpha and beta be the roots of the equation 5x^2 + 6x-...

    Text Solution

    |

  5. The sum of the first three terms of a G.P is S and their pr...

    Text Solution

    |

  6. If |x|<1a n d|y|<1, find the sum of infinity of the following series: ...

    Text Solution

    |

  7. Area ( in , sq units ) of the region outside (|x|)/(2) +(|y|)/...

    Text Solution

    |

  8. Let alpha gt beta gt 0 be such that alpha^3 + beta ^2 = 4. ...

    Text Solution

    |

  9. A line parallel to the straight line 2x-y=0 is tangent to the hypernol...

    Text Solution

    |

  10. If a function f(x) defined by f(x) ={{:(ae^(X) + be ^(-x ) , -1le...

    Text Solution

    |

  11. If the letters of the word 'MOTHER' be permuted and all the words so f...

    Text Solution

    |

  12. The integral int(0)^2 ||x-1|-x| dx is equal to

    Text Solution

    |

  13. The number of intergral values of k for which the line, 3x+4y=k inters...

    Text Solution

    |

  14. Let veca , vecb and vecc be three unit vectors such that |veca - vecb|...

    Text Solution

    |

  15. If lim (xto1)(x^(1)+x^(2)+x^(3)+"..."+x^(n)-n)/(x-1)=820,(nin N) the...

    Text Solution

    |

  16. Let R(1) and R(2) be two relation defined as follows : R(1) = ...

    Text Solution

    |

  17. Suppose f(x) is a polynomial of degree four , having critical poin...

    Text Solution

    |

  18. Let the latus ractum of the parabola y^(2) = 4x be the comon cho...

    Text Solution

    |

  19. underset(x to a)(Lim) ((a+2x)^((1)/(3)) - (3x)^((1)/(3)))/((3a+x)^((1)...

    Text Solution

    |

  20. If x^(3) dy + xy dx = x^(2) dy + 2y dx , y (2) = e and x gt 1, t...

    Text Solution

    |