Line ha sintercepts and on the coordinate axes. When the axes are rotated through a given angle, keeping the origin fixed, the same line has intercepts and then,

a)

b)

c)

d)

Question ID - 53583 :-

Line ha sintercepts and on the coordinate axes. When the axes are rotated through a given angle, keeping the origin fixed, the same line has intercepts and then,

a)

b)

c)

d)

1 Answer

5876 Votes

3537

Answer Key : (b) -

(b)

As has intercepts and on the axes, equation of is
(i)

Let -and -axes be rotated through an angle in anticlockwise direction. In new system, intercepts are an , therefore equation of becomes

(ii)

As the origin is fixed in rotation, the distance of line from origin in both the cases should be same. Hence, we get

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