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Q.

A line has intercepts a, b on the axes when the axes are rotated through an angle α, the line makes equal intercepts on axes then tanα=

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a

a+ba−b

b

a−ba+b

c

ab

d

ba

answer is B.

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Detailed Solution

xa+yb=1(Xcosα−Ysinα)a+(Xsinα+Ycosα)b=1 x. coefficient = y coefficient (a−b)cosα=(a+b)sinα⇒tanα=a−ba+b
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