Straight LineHard

Question

Line L has intercepts a and b on the cooedinate axes. When the axes are rotated through a given angle, keeping the origin fixed, the same line L has intercepts p and q, then

Options

A.a2 + b2 = p2 + q2
B.
C.a2 + p2 = b2 + q2
D.

Solution

Since, the origin remains the same. So, lenght of the prependicular from the origin on the line in its position = 1 and are equal. Therefore.
       
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