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The line ax+by=1 passes through the poin...

The line ax+by=1 passes through the point of intertsection of y=x tan `alpha + p " sec " alpha " and " y "sin" (30^(@)-alpha)-x "cos" (30^(@)-alpha) =p`. If it is inclined at `30^(@) " with " y= ("tan" alpha)x`, then prove that `a^(2)+b^(2) = (3)/(4p^(2))`.

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If the line ax+ by =1 passes through the point of intersection of y =x tan alpha + p sec alpha, y sin(30^@-alpha)-x cos (30^@-alpha) =p , and is inclined at 30^@ with y=tan alpha x , then prove that a^2 + b^2 = 3/(4p^2) .

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