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The straight lines 4x + 3y = 12 and 4x -...

The straight lines 4x + 3y = 12 and 4x - 3y = 12 intersect the x-axis at A and B respectively. If the lengt of the perpendicular drawn from C to AB be 4 units, then area of the `DeltaABC` is

A

12 Sq-units

B

6 Sq-units

C

24 Sq-units

D

18 Sq-units

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Knowledge Check

  • The straight line 2x-3y+5=0 intersects the x -axis and y- axis-

    A
    `((5)/(2),0)and(0,(5)/(3))` respectively
    B
    `(-(5)/(2),0)and(0,-(5)/(3))` respectively
    C
    `((5)/(2),0)and(0,-(5)/(3))` respectively
    D
    `(-(5)/(2),0)and(0,(5)/(3))` respectively

  • The distance between the straight lines 4x - 3y + 10 = 0 and 4x - 3y - 10 = 0 is _

    A
    0
    B
    20
    C
    4
    D
    8

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