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A line passing through the point of inte...

A line passing through the point of intersection of `x + y = 4` and `x - y = 2` makes an angle `tan^-1 (3/4)` with the x-axis. It intersect the parabola `y^2 = 4(x-3)` at points `(x_1, y_1)` and `(x_2, y_2)` respectively. Then,`|x_1 - x_2|` is equal to

A

`(16)/(9)`

B

`(32)/(9)`

C

`(40)/(9)`

D

`(80)/(9)`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • The line passing through the point of intersection of x+y=2, x-y=0 and is parallel to x+2y=5, is

    A
    x+2y=1
    B
    x+2y=2
    C
    x+2y=4
    D
    x+2y=3

  • The equation of a line passing through the point of intersection of line 2x+3y +1=0 and 3x- 5y -5=0 and making an angle of 45^(@) with positive X-axis is

    A
    `2x -19y +23=0`
    B
    `19x-23y+15=0`
    C
    `19x-19y-23=0`
    D
    `20x -19y +23 =0`

  • Find the equation of the line through the point of intersection of 2x-3y+1=0 and x+y -2=0 which is parallel to the y-axis .

    A
    a. 8
    B
    b. 11
    C
    c. 7
    D
    d. 16

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