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) |

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

127 votes

**(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

127 votes

127