Home Maths Circle and System of Circles NTA Abhiyas Question Let the points A : (0, a), B : (-2,0) and C …
Maths Circle and System of Circles NTA Abhiyas Question Single Correct MCQ
Published on: August 13, 2026

Let the points A : (0, a), B : (-2,0) and C : (1 ,1) form an obtuse angled triangle (obtuse angled at angle A), then the complete set of values of a is

A
(-2,1)
B
(-2,l)-
C
(-l,2)
D

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Text Solution

Verified by Experts
The correct answer is:
D

(-l,2)-

(0, a) is a point that lies inside a circle whose end points of diameter are (-2,0) and (1,1), but does not lie on this diameter.

(0, a) lies inside circle (x + 2) (x - 1) + y (y - 1) = 0

(0 + 2)(0-l) + a(a-l)<0

a 2 - a - 2 < 0 (a - 2) (a + 1) < 0

a (-l,2)

But because at

points & (1,1) are collinear

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