Home
Class 12
MATHS
If each of the lines 5x + 8y = 13 and 4x...

If each of the lines `5x + 8y = 13` and `4x - y = 3` contains a diameter of the circle `x^2 +y^2 -2(a^2 -7a+11)x-2(a^2-6a+6)y + b^3 + 1 =0,` then

A

`a = 5 and b cancel in (-1,1)`

B

`a = 1 and b cancel in (-1,1)`

C

`a =2 and b in (-oo,1)`

D

`a = 5 and b in (-oo,1)`

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 1 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|55 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|30 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|17 Videos
  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B - ARCHITECTURE (ENTRANCE EXAMINATION PAPERS)|14 Videos
  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos

Similar Questions

Explore conceptually related problems

The line x+3y=0 is a diameter of the circle x^(2)+y^(2)-6x+2y=0

The line x+3y=0 is a diameter of the circle x^(2)+y^(2)+6x+2y=0

Knowledge Check

  • If the line x + 2by + 7 = 0 is a diameter of the circle x^(2) + y^(2) - 6x + 2y = 0 , then : b =

    A
    3
    B
    `- 5`
    C
    `-1`
    D
    5
  • If line 2x - y + k = 0 is a diameter of circle x^(2) + y^(2) + 6x - 6y + 5 = 0 , then k =

    A
    12
    B
    9
    C
    3
    D
    8
  • The circle x ^(2) + y ^(2) =9 is contained in the circle x ^(2) + y ^(2) - 6x - 8y + 25=c^(2) If

    A
    `c=2`
    B
    `c=3`
    C
    `c=5`
    D
    `c=10`
  • Similar Questions

    Explore conceptually related problems

    The line 3x + 5y +9=0 is a diameter of the circle x^(2)+y^(2)-4x+6y+5=0 .

    Show that the lines 2x+3y+11=0 and 2x-2y-1=0 are conjugate with respect to the circle x^(2)+y^(2)+4x+6y-12=0

    If the line x+2by+7=0 is a diameter of the circle x^(2)+y^(2)-6x+2y=0, then find the value of b

    If (1,2)(2,a) are extremities of a diameter of the circle x^(2)+y^(2)-3x-4y+6=0 then a=

    The equation of the circle having the intercept on the line y+2x=0 by the circle x^2 + y^2 + 4x + 6y = 0 as a diameter is : (A) 5x^2 + 5y^2 - 8x + 16y =0 (B) 5x^2 + 5y^2 + 8x - 16y =0 (C) 5x^2 + 5y^2 - 8x - 16y =0 (D) 5x^2 + 5y^2 + 8x+- 16y =0