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Line `L` has intercepts `a and b` on the coordinate axes. When the axes are rotated through a given angle keeping the origin fixed, the same line `L` has intercepts `p and qdot` Then (a) `a^2+b^2=p^2+q^2` (b)`1/(a^2)+1/(b^2)=1/(p^2)+1/(q^2)` (c)`a^2+p^2=b^2+q^2` (d) `1/(a^2)+1/(p^2)=1/(b^2)+1/(q^2)`

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Line L has intercepts aa n db on the coordinate axes. When the axes are rotated through a given angle keeping the origin fixed, the same line L has intercepts pa n dqdot Then (a) a^2+b^2=p^2+q^2 (b) 1/(a^2)+1/(b^2)=1/(p^2)+1/(q^2) (c) a^2+p^2=b^2+q^2 (d) 1/(a^2)+1/(p^2)=1/(b^2)+1/(q^2)

If p is the length of perpendicular from the origin to the line whose intercepts on the axes are a and b, then show that 1/(p^2)=1/(a^2)+1/(b^2) .

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Given that tanalpha and tanbeta,x^2-p x+q=0 , then value of sin^2(alpha+beta)= (p^2)/(p^2+(1-q)^2) (b) (p^2)/(p^2+q^2) (q^2)/(p^2+(1-q)^2) (d) (p^2)/((p+q)^2)

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