A line makes an intercept of 5 and 4 on x-axis & y-axis respectively, the axes are rotated about origin by angle α such that length

Question

A line makes aninterceptof5and4onthex-axis & y-axis respectively. If the axes are rotated about the origin by an angle α such that the length of intercept on the new x-axis is 8. The length of intercept on the new y-axis, is

(A) √23
(B) 20/8
(C) 40/√139
(D) 1