The image of the point P(3, 5) with respect to the line y = x is the point Q and the image of Q with respect to the line y = 0 is the point R(a, b), then (a, b)
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a
(5, 3)
b
(5, –3)
c
(–5, 3)
d
(–5, –3)
answer is B.
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Detailed Solution
Let (x1, y1) be the image of the point P(3, 5) with respect to the line y = x. Then, x1 = 5, y1 = 3.∴ Q = (5, 3)Since the image of the point Q(5, 3) w.r.t. the line y = 0 is (a, b).∴ a = 5 and b = –3∴ (a, b) = (5, –3)