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# Line L has intercepts a & b on the co-ordinate axes. when the axes are rotated through a given angle, keeping the origin fixed, the same line L has intercepts p & q then which of the foll. is true?... a)a2 + b2 = p2 = q2 b)1/a2 + 1/b2 = 1/p2 = 1/q2 c)a2 + p2 = b2 = q2 d)1/a2 = 1/p2 = 1/b2 = 1/q2... waiting for your reply...

Jitender Singh IIT Delhi
7 years ago
Ans:
Line L has a & b intecept on x & y-axis respectively. Let it rotate by an angle ‘h’. Then we have from the diagram
$p.cosh = a$
$q.cosh = b$
$\frac{a}{p} = \frac{b}{q}$
Thanks & Regards
Jitender Singh
IIT Delhi