1
COMEDK 2022
MCQ (Single Correct Answer)
+1
-0

$$S\equiv x^2+y^2+2x+3y+1=0$$ and $$S'\equiv x^2+y^2+4x+3y+2=0$$ are two circles. The point $$(-3,-2)$$ lies

A
inside S' only
B
inside S only
C
inside S and S'
D
outside S and S'
2
COMEDK 2021
MCQ (Single Correct Answer)
+1
-0

What will be the equation of circle whose centre is (1, 2) and touches X-axis?

A
$${x^2} + {y^2} - 2x - 4y + 1 = 0$$
B
$${x^2} - {y^2} + 2x + 4y + 1 = 0$$
C
$${x^2} + {y^2} + 2x - 4y - 1 = 0$$
D
$${x^2} + {y^2} + 2x + 4y - 1 = 0$$
3
COMEDK 2021
MCQ (Single Correct Answer)
+1
-0

Find the centre and radius of the circle given by the equation $$2{x^2} + 2{y^2} + 3x + 4y + {9 \over 8} = 0$$.

A
1
B
$$-$$1
C
2
D
$$-$$2
4
COMEDK 2021
MCQ (Single Correct Answer)
+1
-0

What will be the equation of the circle whose centre is (1, 2) and which passes through the point (4, 6)?

A
$${x^2} + {y^2} - 2x - 4y - 20 = 0$$
B
$${x^2} + {y^2} + 2x + 4y - 20 = 0$$
C
$${x^2} - {y^2} - 2x - 4y + 20 = 0$$
D
$${x^2} - {y^2} + 2x - 4y - 20 = 0$$
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