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The Range of values of the ordinate of a point moving on the line x=1 and always remaining in the interior of the triangle formed by the lines y=x, the x-axis and x+y=4 is

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a

(0, 1)

b

[0, 1]

c

[0, 4]

d

(0, 4)

answer is A.

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Detailed Solution

2k>0⇒ k>04(1−k)>0⇒k<1−(1+k−4)>0⇒k<3k∈(0,1)

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