If the point (k + 1, k) lies inside the region bound by the curve and the y-axis, then k belong to the intervala)(andndash;1, 3)b)(andndash;4, 3)c)(-andinfin;, -4)andcup; (3,andinfin;)d)none of theseCorrect answer is option 'A'. Can you explain this answer?

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JEE Exam > JEE Questions > If the point (k + 1, k) lies inside the regio...

If the point (k + 1, k) lies inside the region bound by the curve

and the y-axis, then k belong to the interval

a)
(–1, 3)
b)
(–4, 3)
c)
(-∞, -4) ∪ (3, ∞)
d)
none of these

Correct answer is option 'A'. Can you explain this answer?

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If the point (k + 1, k) lies inside the region bound by the curve and ...

Since (k + 1, k) lies inside the region bounded by x

⇒ (k + 1)² + k² - 25 < 0
and k + 1 > 0
⇒ 2k² + 2k - 24 < 0 and k > -1
⇒ -4 < k < 3 and k > -1
⇒ -1 < k < 3
Hence (A) is the correct answer.

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If the point (k + 1, k) lies inside the region bound by the curve and the y-axis, then k belong to the intervala)(–1, 3)b)(–4, 3)c)(-∞, -4)∪ (3,∞)d)none of theseCorrect answer is option 'A'. Can you explain this answer?

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