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.

⇒
= 1 and
are equal. Therefore. 
⇒

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