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line L has intercepts a and b on the coordinate axes are through a given angle , keeping the origin fixed , the same line L has intercepts p and q , then

excerpts i did this question using rotation of axes by an angle theta and used the formula

X= x cos theta - y sin theta

Y= x sin theta + y cos theta

where X AND Y are cordinates after rotation .

my answer was

a ^2+b^2= p^2 +q^2

pls tell where was the problem

It would be better if send us all the steps along with question so that we can cross check more accuretly.

And here is the solution for the same with another method.

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