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If the point $(a, - a)$ lies inside the circle $x^{2} + y^{2} - 4 x + 2 y - 8 = 0,$ then a lies in the interval

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(−1,4)

(−∞,−1)

(4,∞)

[−1,4]

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detailed solution

Correct option is A

Since the point (a, - a) lies inside the circle x2+y2−4x+2y−8=0.∴ a2+a2−4a−2a−8<0⇒ 2a2−6a−8<0⇒ a2−3a−4<0⇒ (a−4)(a+1)<0⇒−1

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If the point (a, - a) lies inside the circle x2+y2−4x+2y−8=0, then a lies in the interval

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If the point $(a, - a)$ lies inside the circle $x^{2} + y^{2} - 4 x + 2 y - 8 = 0,$ then a lies in the interval