A region in the xy-plane is bounded by the curve and the line

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

A region in the xy-plane is bounded by the curve

y = \sqrt{(25 - x^2)}

and the line

y = 0

. If the point

(a, a+1)

lies in the interior of the region, then (1)

a \in (-4, 3)

(2)

a \in (-\infty, -1) \cup (3, \infty)

(3)

a \in (-1, 3)

(4) None of these