Grade 12th PassAnalytical Geometry
Solve the 7th problem in the above image which I have provided
Solve the 7th problem in the above image which I have provided
1 Answer
Arun
Dear student
x sec @ + y cosec @ = a
x sin @ + y cos @ = a sin@ cos @
p = | 0 + 0 – a sin@ cos @ |/ sqrt(sin^2@ + cos^2@)
Hence
4p^2 = 4* a^2 sin^2 @ cos^2 @ / (sin^2@ + cos^2@)
Now
p’ = |0 – 0 – a cos2@| / sqrt(cos^2 @ + sin^2 @)
(p’)^2 = a^2 * co^2 (2@) / (cos^2 @ + sin^2 @)
Now
4p^2 + p’^2 = a^2 sin^2 2@ + a^2 cos^2 2@
= a^2
Hence proved
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