Locus and its Equation
Co-Ordinate system

88426 Lines represented by \(4 x^{2}-y^{2}-8 x+4 y=0\) intersect each other at

1 \((0,0)\)
2 \((2,1)\)
3 \((2,4)\)
4 \((2,2)\)
Co-Ordinate system

88427 If lines represented by equation \(p^{2}-q y^{2}=0\) are distinct, then

1 \(\mathrm{pq}>0\)
2 \(\mathrm{pq}\lt 0\)
3 \(\mathrm{pq}=0\)
4 \(\mathrm{p}+\mathrm{q}=0\)
Co-Ordinate system

88416 If \((-4,0)\) and \((1,-1)\) are two vertices of a triangle of area 4 square units, then its third vertex lies on

1 \(y=x\)
2 \(5 x+y+12=0\)
3 \(x+5 y+12=0\)
4 None of these
Co-Ordinate system

88417 The joint equation of two lines through the origin each making an angle of \(30^{\circ}\) with the \(\mathrm{Y}\) axis is

1 \(2 x^{2}-3 y^{2}=0\)
2 \(x^{2}+3 y^{2}=0\)
3 \(3 x^{2}-y^{2}=0\)
4 \(x^{2}-3 y^{2}=0\)
Co-Ordinate system

88418 The straight lines represented by the equation \(9 x^{2}-12 x y+4 y^{2}=0\) are

1 Intersect at \(60^{\circ}\)
2 Perpendicular
3 Coincident
4 Parallel
Co-Ordinate system

88426 Lines represented by \(4 x^{2}-y^{2}-8 x+4 y=0\) intersect each other at

1 \((0,0)\)
2 \((2,1)\)
3 \((2,4)\)
4 \((2,2)\)
Co-Ordinate system

88427 If lines represented by equation \(p^{2}-q y^{2}=0\) are distinct, then

1 \(\mathrm{pq}>0\)
2 \(\mathrm{pq}\lt 0\)
3 \(\mathrm{pq}=0\)
4 \(\mathrm{p}+\mathrm{q}=0\)
Co-Ordinate system

88416 If \((-4,0)\) and \((1,-1)\) are two vertices of a triangle of area 4 square units, then its third vertex lies on

1 \(y=x\)
2 \(5 x+y+12=0\)
3 \(x+5 y+12=0\)
4 None of these
Co-Ordinate system

88417 The joint equation of two lines through the origin each making an angle of \(30^{\circ}\) with the \(\mathrm{Y}\) axis is

1 \(2 x^{2}-3 y^{2}=0\)
2 \(x^{2}+3 y^{2}=0\)
3 \(3 x^{2}-y^{2}=0\)
4 \(x^{2}-3 y^{2}=0\)
Co-Ordinate system

88418 The straight lines represented by the equation \(9 x^{2}-12 x y+4 y^{2}=0\) are

1 Intersect at \(60^{\circ}\)
2 Perpendicular
3 Coincident
4 Parallel
Co-Ordinate system

88426 Lines represented by \(4 x^{2}-y^{2}-8 x+4 y=0\) intersect each other at

1 \((0,0)\)
2 \((2,1)\)
3 \((2,4)\)
4 \((2,2)\)
Co-Ordinate system

88427 If lines represented by equation \(p^{2}-q y^{2}=0\) are distinct, then

1 \(\mathrm{pq}>0\)
2 \(\mathrm{pq}\lt 0\)
3 \(\mathrm{pq}=0\)
4 \(\mathrm{p}+\mathrm{q}=0\)
Co-Ordinate system

88416 If \((-4,0)\) and \((1,-1)\) are two vertices of a triangle of area 4 square units, then its third vertex lies on

1 \(y=x\)
2 \(5 x+y+12=0\)
3 \(x+5 y+12=0\)
4 None of these
Co-Ordinate system

88417 The joint equation of two lines through the origin each making an angle of \(30^{\circ}\) with the \(\mathrm{Y}\) axis is

1 \(2 x^{2}-3 y^{2}=0\)
2 \(x^{2}+3 y^{2}=0\)
3 \(3 x^{2}-y^{2}=0\)
4 \(x^{2}-3 y^{2}=0\)
Co-Ordinate system

88418 The straight lines represented by the equation \(9 x^{2}-12 x y+4 y^{2}=0\) are

1 Intersect at \(60^{\circ}\)
2 Perpendicular
3 Coincident
4 Parallel
Co-Ordinate system

88426 Lines represented by \(4 x^{2}-y^{2}-8 x+4 y=0\) intersect each other at

1 \((0,0)\)
2 \((2,1)\)
3 \((2,4)\)
4 \((2,2)\)
Co-Ordinate system

88427 If lines represented by equation \(p^{2}-q y^{2}=0\) are distinct, then

1 \(\mathrm{pq}>0\)
2 \(\mathrm{pq}\lt 0\)
3 \(\mathrm{pq}=0\)
4 \(\mathrm{p}+\mathrm{q}=0\)
Co-Ordinate system

88416 If \((-4,0)\) and \((1,-1)\) are two vertices of a triangle of area 4 square units, then its third vertex lies on

1 \(y=x\)
2 \(5 x+y+12=0\)
3 \(x+5 y+12=0\)
4 None of these
Co-Ordinate system

88417 The joint equation of two lines through the origin each making an angle of \(30^{\circ}\) with the \(\mathrm{Y}\) axis is

1 \(2 x^{2}-3 y^{2}=0\)
2 \(x^{2}+3 y^{2}=0\)
3 \(3 x^{2}-y^{2}=0\)
4 \(x^{2}-3 y^{2}=0\)
Co-Ordinate system

88418 The straight lines represented by the equation \(9 x^{2}-12 x y+4 y^{2}=0\) are

1 Intersect at \(60^{\circ}\)
2 Perpendicular
3 Coincident
4 Parallel
Co-Ordinate system

88426 Lines represented by \(4 x^{2}-y^{2}-8 x+4 y=0\) intersect each other at

1 \((0,0)\)
2 \((2,1)\)
3 \((2,4)\)
4 \((2,2)\)
Co-Ordinate system

88427 If lines represented by equation \(p^{2}-q y^{2}=0\) are distinct, then

1 \(\mathrm{pq}>0\)
2 \(\mathrm{pq}\lt 0\)
3 \(\mathrm{pq}=0\)
4 \(\mathrm{p}+\mathrm{q}=0\)
Co-Ordinate system

88416 If \((-4,0)\) and \((1,-1)\) are two vertices of a triangle of area 4 square units, then its third vertex lies on

1 \(y=x\)
2 \(5 x+y+12=0\)
3 \(x+5 y+12=0\)
4 None of these
Co-Ordinate system

88417 The joint equation of two lines through the origin each making an angle of \(30^{\circ}\) with the \(\mathrm{Y}\) axis is

1 \(2 x^{2}-3 y^{2}=0\)
2 \(x^{2}+3 y^{2}=0\)
3 \(3 x^{2}-y^{2}=0\)
4 \(x^{2}-3 y^{2}=0\)
Co-Ordinate system

88418 The straight lines represented by the equation \(9 x^{2}-12 x y+4 y^{2}=0\) are

1 Intersect at \(60^{\circ}\)
2 Perpendicular
3 Coincident
4 Parallel