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Let L be the line belonging to the famil...

Let L be the line belonging to the family of straight lines `(a+2b)x+(a-3b)y+a-8b=0 a,b in R`, which is the farthest from the point (2,2)
The equation of line L is

A

x+4y+7=0

B

2x+3y+4=0

C

4x-y-6=0

D

none of these

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The correct Answer is:
A, B, D
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Knowledge Check

  • Let L be the line belonging to the family of straight lines (a+2b)x+(a-3b)y+a-8b=0 a,b in R , which is the farthest from the point (2,2) Area enclosed by the line L and the coordinate axes is

    A
    `4//3 sq. units`
    B
    `9//2 sq. units`
    C
    `49/8 sq. units`
    D
    none of these

  • Let L be the line belonging to the family of straight lines (a+2b)x+(a-3b)y+a-8b=0 a,b in R , which is the farthest from the point (2,2) If L is concurrent with lines x-2y+1=0 and 3x-4y+lambda =0 , then the value of lambda is

    A
    2
    B
    1
    C
    -4
    D
    5

  • The point of concurrence of the lines (2a+5b)x+(3a-2b)y-5a-3b=0 is

    A
    `(1,1)`
    B
    (1, -1)
    C
    (2, 2)
    D
    (-2, 2)

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