Standard and General Form of Equation of a Circle
Conic Section

119646 The number of integral values of \(\lambda\) for which the equation \(x^2+y^2-2 \lambda x+2 \lambda y+14=0\) represents a circle whose radius cannot exceed 6 is

1 10
2 11
3 12
4 9
Conic Section

119630 Area of the circle in which a chord of length \(\sqrt{2}\) makes an angle \(\pi / 2\) at the centre, is

1 \(\pi / 2\) squnits
2 \(2 \pi\) sq units
3 \(\pi\) sq units
4 \(\pi / 4\) squnits
Conic Section

119625 A point diametrically opposite to the point \(\mathbf{P}(\mathbf{1}\), 0) on the circle \(x^2+y^2+2 x+4 y-3=0\) is

1 \((3,-4)\)
2 \((-3,4)\)
3 \((-3,-4)\)
4 \((3,4)\)
Conic Section

119626 The circle \(x^2+y^2+4 x-7 y+12=0\) cuts an intercept on y-axis of length

1 3
2 4
3 7
4 1
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Conic Section

119646 The number of integral values of \(\lambda\) for which the equation \(x^2+y^2-2 \lambda x+2 \lambda y+14=0\) represents a circle whose radius cannot exceed 6 is

1 10
2 11
3 12
4 9
Conic Section

119630 Area of the circle in which a chord of length \(\sqrt{2}\) makes an angle \(\pi / 2\) at the centre, is

1 \(\pi / 2\) squnits
2 \(2 \pi\) sq units
3 \(\pi\) sq units
4 \(\pi / 4\) squnits
Conic Section

119625 A point diametrically opposite to the point \(\mathbf{P}(\mathbf{1}\), 0) on the circle \(x^2+y^2+2 x+4 y-3=0\) is

1 \((3,-4)\)
2 \((-3,4)\)
3 \((-3,-4)\)
4 \((3,4)\)
Conic Section

119626 The circle \(x^2+y^2+4 x-7 y+12=0\) cuts an intercept on y-axis of length

1 3
2 4
3 7
4 1
Conic Section

119646 The number of integral values of \(\lambda\) for which the equation \(x^2+y^2-2 \lambda x+2 \lambda y+14=0\) represents a circle whose radius cannot exceed 6 is

1 10
2 11
3 12
4 9
Conic Section

119630 Area of the circle in which a chord of length \(\sqrt{2}\) makes an angle \(\pi / 2\) at the centre, is

1 \(\pi / 2\) squnits
2 \(2 \pi\) sq units
3 \(\pi\) sq units
4 \(\pi / 4\) squnits
Conic Section

119625 A point diametrically opposite to the point \(\mathbf{P}(\mathbf{1}\), 0) on the circle \(x^2+y^2+2 x+4 y-3=0\) is

1 \((3,-4)\)
2 \((-3,4)\)
3 \((-3,-4)\)
4 \((3,4)\)
Conic Section

119626 The circle \(x^2+y^2+4 x-7 y+12=0\) cuts an intercept on y-axis of length

1 3
2 4
3 7
4 1
Conic Section

119646 The number of integral values of \(\lambda\) for which the equation \(x^2+y^2-2 \lambda x+2 \lambda y+14=0\) represents a circle whose radius cannot exceed 6 is

1 10
2 11
3 12
4 9
Conic Section

119630 Area of the circle in which a chord of length \(\sqrt{2}\) makes an angle \(\pi / 2\) at the centre, is

1 \(\pi / 2\) squnits
2 \(2 \pi\) sq units
3 \(\pi\) sq units
4 \(\pi / 4\) squnits
Conic Section

119625 A point diametrically opposite to the point \(\mathbf{P}(\mathbf{1}\), 0) on the circle \(x^2+y^2+2 x+4 y-3=0\) is

1 \((3,-4)\)
2 \((-3,4)\)
3 \((-3,-4)\)
4 \((3,4)\)
Conic Section

119626 The circle \(x^2+y^2+4 x-7 y+12=0\) cuts an intercept on y-axis of length

1 3
2 4
3 7
4 1