Equation of Pair of Straight Line
Straight Line

88805 The point of intersection of lines represented by \(x^{2}-y^{2}+x+3 y-2=0\) is

1 \((1,0)\)
2 \((0,2)\)
3 \(\left(-\frac{1}{2}, \frac{3}{2}\right)\)
4 \(\left(\frac{1}{2}, \frac{1}{2}\right)\)
Straight Line

88806 Which of the following equation does not represent a pair of lines?

1 \(x^{2}-x=0\)
2 \(x y-x=0\)
3 \(\mathrm{y}^{2}-\mathrm{x}+1=0\)
4 \(x y+x+y+1=0\)
Straight Line

88807 The joint equation of lines passing through the origin and trisecting the first quadrant is

1 \(x^{2}+\sqrt{3} x y-y^{2}=0\)
2 \(x^{2}-\sqrt{3} x y-y^{2}=0\)
3 \(\sqrt{3} x^{2}-4 x y+\sqrt{3} y^{2}=0\)
4 \(3 x^{2}-y^{2}=0\)
Straight Line

88808 If the equation \(k x y+10 x+4=0\) represents a pair of lines then value of \(k\) is

1 0
2 15
3 -15
4 \(\frac{1}{15}\)
Straight Line

88809 The joint equation of pair of lines through origin each of which makes an angle of \(60^{\circ}\) with the \(\mathbf{Y}\)-axis is

1 \(x^{2}-3 y^{2}=0\)
2 \(x^{2}+3 y^{2}=0\)
3 \(3 x^{2}-y^{2}=0\)
4 \(3 \mathrm{x}^{2}+\mathrm{y}^{2}=0\)
Straight Line

88805 The point of intersection of lines represented by \(x^{2}-y^{2}+x+3 y-2=0\) is

1 \((1,0)\)
2 \((0,2)\)
3 \(\left(-\frac{1}{2}, \frac{3}{2}\right)\)
4 \(\left(\frac{1}{2}, \frac{1}{2}\right)\)
Straight Line

88806 Which of the following equation does not represent a pair of lines?

1 \(x^{2}-x=0\)
2 \(x y-x=0\)
3 \(\mathrm{y}^{2}-\mathrm{x}+1=0\)
4 \(x y+x+y+1=0\)
Straight Line

88807 The joint equation of lines passing through the origin and trisecting the first quadrant is

1 \(x^{2}+\sqrt{3} x y-y^{2}=0\)
2 \(x^{2}-\sqrt{3} x y-y^{2}=0\)
3 \(\sqrt{3} x^{2}-4 x y+\sqrt{3} y^{2}=0\)
4 \(3 x^{2}-y^{2}=0\)
Straight Line

88808 If the equation \(k x y+10 x+4=0\) represents a pair of lines then value of \(k\) is

1 0
2 15
3 -15
4 \(\frac{1}{15}\)
Straight Line

88809 The joint equation of pair of lines through origin each of which makes an angle of \(60^{\circ}\) with the \(\mathbf{Y}\)-axis is

1 \(x^{2}-3 y^{2}=0\)
2 \(x^{2}+3 y^{2}=0\)
3 \(3 x^{2}-y^{2}=0\)
4 \(3 \mathrm{x}^{2}+\mathrm{y}^{2}=0\)
Straight Line

88805 The point of intersection of lines represented by \(x^{2}-y^{2}+x+3 y-2=0\) is

1 \((1,0)\)
2 \((0,2)\)
3 \(\left(-\frac{1}{2}, \frac{3}{2}\right)\)
4 \(\left(\frac{1}{2}, \frac{1}{2}\right)\)
Straight Line

88806 Which of the following equation does not represent a pair of lines?

1 \(x^{2}-x=0\)
2 \(x y-x=0\)
3 \(\mathrm{y}^{2}-\mathrm{x}+1=0\)
4 \(x y+x+y+1=0\)
Straight Line

88807 The joint equation of lines passing through the origin and trisecting the first quadrant is

1 \(x^{2}+\sqrt{3} x y-y^{2}=0\)
2 \(x^{2}-\sqrt{3} x y-y^{2}=0\)
3 \(\sqrt{3} x^{2}-4 x y+\sqrt{3} y^{2}=0\)
4 \(3 x^{2}-y^{2}=0\)
Straight Line

88808 If the equation \(k x y+10 x+4=0\) represents a pair of lines then value of \(k\) is

1 0
2 15
3 -15
4 \(\frac{1}{15}\)
Straight Line

88809 The joint equation of pair of lines through origin each of which makes an angle of \(60^{\circ}\) with the \(\mathbf{Y}\)-axis is

1 \(x^{2}-3 y^{2}=0\)
2 \(x^{2}+3 y^{2}=0\)
3 \(3 x^{2}-y^{2}=0\)
4 \(3 \mathrm{x}^{2}+\mathrm{y}^{2}=0\)
Straight Line

88805 The point of intersection of lines represented by \(x^{2}-y^{2}+x+3 y-2=0\) is

1 \((1,0)\)
2 \((0,2)\)
3 \(\left(-\frac{1}{2}, \frac{3}{2}\right)\)
4 \(\left(\frac{1}{2}, \frac{1}{2}\right)\)
Straight Line

88806 Which of the following equation does not represent a pair of lines?

1 \(x^{2}-x=0\)
2 \(x y-x=0\)
3 \(\mathrm{y}^{2}-\mathrm{x}+1=0\)
4 \(x y+x+y+1=0\)
Straight Line

88807 The joint equation of lines passing through the origin and trisecting the first quadrant is

1 \(x^{2}+\sqrt{3} x y-y^{2}=0\)
2 \(x^{2}-\sqrt{3} x y-y^{2}=0\)
3 \(\sqrt{3} x^{2}-4 x y+\sqrt{3} y^{2}=0\)
4 \(3 x^{2}-y^{2}=0\)
Straight Line

88808 If the equation \(k x y+10 x+4=0\) represents a pair of lines then value of \(k\) is

1 0
2 15
3 -15
4 \(\frac{1}{15}\)
Straight Line

88809 The joint equation of pair of lines through origin each of which makes an angle of \(60^{\circ}\) with the \(\mathbf{Y}\)-axis is

1 \(x^{2}-3 y^{2}=0\)
2 \(x^{2}+3 y^{2}=0\)
3 \(3 x^{2}-y^{2}=0\)
4 \(3 \mathrm{x}^{2}+\mathrm{y}^{2}=0\)
Straight Line

88805 The point of intersection of lines represented by \(x^{2}-y^{2}+x+3 y-2=0\) is

1 \((1,0)\)
2 \((0,2)\)
3 \(\left(-\frac{1}{2}, \frac{3}{2}\right)\)
4 \(\left(\frac{1}{2}, \frac{1}{2}\right)\)
Straight Line

88806 Which of the following equation does not represent a pair of lines?

1 \(x^{2}-x=0\)
2 \(x y-x=0\)
3 \(\mathrm{y}^{2}-\mathrm{x}+1=0\)
4 \(x y+x+y+1=0\)
Straight Line

88807 The joint equation of lines passing through the origin and trisecting the first quadrant is

1 \(x^{2}+\sqrt{3} x y-y^{2}=0\)
2 \(x^{2}-\sqrt{3} x y-y^{2}=0\)
3 \(\sqrt{3} x^{2}-4 x y+\sqrt{3} y^{2}=0\)
4 \(3 x^{2}-y^{2}=0\)
Straight Line

88808 If the equation \(k x y+10 x+4=0\) represents a pair of lines then value of \(k\) is

1 0
2 15
3 -15
4 \(\frac{1}{15}\)
Straight Line

88809 The joint equation of pair of lines through origin each of which makes an angle of \(60^{\circ}\) with the \(\mathbf{Y}\)-axis is

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