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Line L has intercepts a & b on the co-ordinate axes. when the axes are rotated through a given angle, keeping the origin fixed, the same line L has intercepts p & q then which of the foll. is true?... a)a2 + b2 = p2 = q2 b)1/a2 + 1/b2 = 1/p2 = 1/q2 c)a2 + p2 = b2 = q2 d)1/a2 = 1/p2 = 1/b2 = 1/q2... waiting for your reply...

Line L has intercepts a & b on the co-ordinate axes. when the axes are rotated through a given angle, keeping the origin fixed, the same line L has intercepts p & q then which of the foll. is true?...
a)a2 + b2 = p2 = q2
b)1/a2 + 1/b2 = 1/p2 = 1/q2
c)a2 + p2 = b2 = q2
d)1/a2 = 1/p2 = 1/b2 = 1/q2...
waiting for your reply...

Grade:11

1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
9 years ago
Ans:
Line L has a & b intecept on x & y-axis respectively. Let it rotate by an angle ‘h’. Then we have from the diagram
p.cosh = a
q.cosh = b
\frac{a}{p} = \frac{b}{q}
Thanks & Regards
Jitender Singh
IIT Delhi
askIITians Faculty

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