the lines x+(k-1)y+1=0 and 2x+k²y-1=0 are at right angles if
(a) k=1 (b) k>1 (c) k=-1 (d) |k|=2
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Verify (b) by direct calculation for y′′ + k2y = 0, k = 0, whose general solution is y1 = c1 sin kx + c2 cos kx . 2B. Reduction of Order. 2B-1.
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