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Slope of a line passing through P(2,3) a...

Slope of a line passing through `P(2,3)` and intersecting the line, `x+y=7` at a distance of `4` units from `P`, is

A

`(1-sqrt(5))/(1+sqrt(5))`

B

`(1-sqrt(7))/(1+sqrt(7))`

C

`(sqrt(7)-1)/(sqrt(7)+1)`

D

`(sqrt(5)-1)/(sqrt(5)+1)`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • If a line is passing through p(2,3) which intersects the line x+y=7 at a distance of four units from P. Then the slope of line is

    A
    `(1-sqrt(7))/(1-sqrt(7))`
    B
    `(sqrt(7)-1)/(sqrt(7)+1)`
    C
    `(1-sqrt(5))/(1+sqrt(5))`
    D
    `(sqrt(5)-1))/(sqrt(5)=1)`

  • The slope of line passing through A(2, 3), B(4,7)

    A
    1
    B
    `(5)/(2)`
    C
    `-4`
    D
    2

  • A line passing through the point P(1,2) meets the line x+y=7 at the distance of 3 units from P. Then the slope of this line satisfies the equation :

    A
    `8x^(2)-9x+1=0`
    B
    `7x^(2)-18x+7=0`
    C
    `16x^(2)-39x+16=0`
    D
    `7x^(2)-6x-7=0`

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