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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^2+b^2=p^2+q^2` `1/(a^2)+1/(b^2)=1/(p^2)+1/(q^2)` `a^2+p^2=b^2+q^2` (d) `1/(a^2)+1/(p^2)=1/(b^2)+1/(q^2)`

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))`

Text Solution

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The correct Answer is:
B
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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)

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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