Equation of Pair of Straight Line
Straight Line

88797 The joint equation of bisectors of the angle between the lines represented by \(3 x^{2}+2 x y-y^{2}=0\) is

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

88798 If the equation \(3 x^{2}+10 x y+3 y^{2}+16 y+k=0\) represents a pair of lines, then the value of \(k\) is

1 -12
2 21
3 12
4 -21
Straight Line

88799 The joint equation of the pair of lines passing through \(A(1,1)\) and which are parallel to the co-ordinate axes is

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

88800 If line \(q x-p y+r=0\) is perpendicular to one of the lines represented by \(a x^{2}+2 h x y+b y^{2}=0\) then

1 \(\mathrm{ap}^{2}+2 \mathrm{hpq}+b q^{2}=0\)
2 \(a p^{2}-2 h p q-b q^{2}=0 v\)
3 \(\mathrm{ap}^{2}+2 \mathrm{hpq}-\mathrm{bq}^{2}=0\)
4 \(b p^{2}-2 h p q+a q^{2}=0\)
Straight Line

88797 The joint equation of bisectors of the angle between the lines represented by \(3 x^{2}+2 x y-y^{2}=0\) is

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

88798 If the equation \(3 x^{2}+10 x y+3 y^{2}+16 y+k=0\) represents a pair of lines, then the value of \(k\) is

1 -12
2 21
3 12
4 -21
Straight Line

88799 The joint equation of the pair of lines passing through \(A(1,1)\) and which are parallel to the co-ordinate axes is

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

88800 If line \(q x-p y+r=0\) is perpendicular to one of the lines represented by \(a x^{2}+2 h x y+b y^{2}=0\) then

1 \(\mathrm{ap}^{2}+2 \mathrm{hpq}+b q^{2}=0\)
2 \(a p^{2}-2 h p q-b q^{2}=0 v\)
3 \(\mathrm{ap}^{2}+2 \mathrm{hpq}-\mathrm{bq}^{2}=0\)
4 \(b p^{2}-2 h p q+a q^{2}=0\)
Straight Line

88797 The joint equation of bisectors of the angle between the lines represented by \(3 x^{2}+2 x y-y^{2}=0\) is

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

88798 If the equation \(3 x^{2}+10 x y+3 y^{2}+16 y+k=0\) represents a pair of lines, then the value of \(k\) is

1 -12
2 21
3 12
4 -21
Straight Line

88799 The joint equation of the pair of lines passing through \(A(1,1)\) and which are parallel to the co-ordinate axes is

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

88800 If line \(q x-p y+r=0\) is perpendicular to one of the lines represented by \(a x^{2}+2 h x y+b y^{2}=0\) then

1 \(\mathrm{ap}^{2}+2 \mathrm{hpq}+b q^{2}=0\)
2 \(a p^{2}-2 h p q-b q^{2}=0 v\)
3 \(\mathrm{ap}^{2}+2 \mathrm{hpq}-\mathrm{bq}^{2}=0\)
4 \(b p^{2}-2 h p q+a q^{2}=0\)
Straight Line

88797 The joint equation of bisectors of the angle between the lines represented by \(3 x^{2}+2 x y-y^{2}=0\) is

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

88798 If the equation \(3 x^{2}+10 x y+3 y^{2}+16 y+k=0\) represents a pair of lines, then the value of \(k\) is

1 -12
2 21
3 12
4 -21
Straight Line

88799 The joint equation of the pair of lines passing through \(A(1,1)\) and which are parallel to the co-ordinate axes is

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

88800 If line \(q x-p y+r=0\) is perpendicular to one of the lines represented by \(a x^{2}+2 h x y+b y^{2}=0\) then

1 \(\mathrm{ap}^{2}+2 \mathrm{hpq}+b q^{2}=0\)
2 \(a p^{2}-2 h p q-b q^{2}=0 v\)
3 \(\mathrm{ap}^{2}+2 \mathrm{hpq}-\mathrm{bq}^{2}=0\)
4 \(b p^{2}-2 h p q+a q^{2}=0\)