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A line L has intercepts a & b on the coordinate axes. When the axes are rotated through a given angle, keeping the origin fixed, the same line has intercepts p & q. 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

A line L has intercepts a & b on the coordinate axes. When the axes are rotated through a given angle, keeping the origin fixed, the same line has intercepts p & q. Then:


(a).         a2 + b2 = p2 + q2


(b).         1/a2 + 1/b2 = 1/p 2+ 1/q2


(c).         a2 + p2 = b2 + q2


 


(d).         1/a2 + 1/p2 = 1/b2+ 1/q2

Grade:

1 Answers

vijay
14 Points
7 years ago

4th option is correct,perpendicular distance from origin is same

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