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Consider the following statements : 1....

Consider the following statements :
1. The locus of points which are equidistant from two parallel lines is a line parallel to both of them and drawn midway between them.
2. The perpendicular distances of any point on this locus line from two original parallel lines are equal. Further, no point outside this locus line has this property.
Which of the above statements is/are correct ?

A

A. 1 only

B

B. 2 only

C

C. Both 1 and 2

D

D. Neither 1 nor 2

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Knowledge Check

  • Consider the following statements The locus of poitns which are equidistant from two parallel lines is a line parallel to both of them and drawn midway between them. II. Then perpendicular distances of any point on this locus line from two originalparallel lines are equal. Further, no point outside this locus line has this property. Which of the above statemnets is/are correct ?

    A
    Only I
    B
    Only II
    C
    Both I and II
    D
    Neither I nor II

  • A part of the locus of a point P, which is equidstant from two intersecting line as + by + c = 0 and px + qy + r = 0

    A
    `(a - p) x + (b - q) y + (c - x) = 0`
    B
    `ap + qby + cy = 0`
    C
    `sqrt(a^(2) + b^(2)) (px + qy + r) - sqrt(p^(2) + q^(2)) (ax + by + a)`
    D
    None of these

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