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• ### 2x2 + 7xy + 3y2  = 0

2x-y =0 , x-3y = 0
2x-3 =0 , x-3y = 0
2x+3 =0 , x+2y = 0
2x+y =0 , x+3y = 0
• ### 2x2 - 5xy + 3y2 = 0.

x-y =0 , 2x-3y =0
x+y =0 , 2x+3y =0
x+y =0 , 3x-2y =0
x-y =0 , 2x-0y =3
• ### 2x2 + xy- 6y2 = 0 .

1x-2y = 0 , x+3y = 0.
2x+3y = 0 , x+3y = 0.
2x+3y = 0 , x-2y = 0.
2x-3y = 0 , x+2y = 0.
• ### X2 + x - y - y2 = 0

x - y = 0 , x + 2y = 0
x + y = 0 , y + 2x = 0
x - y = 2 , x + 3y = 0
x + y = 0 , x + 3y = 0
• ### 3x2 - 5xy - 2y2 - x + 2y = 0

x = 2y , 3x+y = 1
x = 2y , 1x+y = 3
x = 2y , 3x+y = 1
x = 1y , 3x+y = 2
• ### Find the single equation which represents the pair of straight lines x=2 and y = 3

xy - 3x - 2y + 6 = 0
xy - 3x + 2y - 6 = 0
xy - 3x - 3y - 6 = 0
xy - 3x - 2y = 6 + 0
• ### Find the  homogeneous equation of 2nd degree from the pair of lines x = 2y&2x = y.

2x2 - 2xy - 2y2  = 0
2x2 - 5xy + 2y2  = 0.
5x2 - 2xy + 2y2  = 0.
2x2 - 4xy + 3y2  = 0.
• ### 6x2 - xy - y2 = 0

90(^0) , 135(^0)
40(^0) , 145(^0)
45(^0) , 125(^0)
45(^0) , 135(^0)
• ### x2  - 3xy - 4y2 = 0

θ = tan-1   (± (frac{3}{5}) )  , 110.86(^0)
θ = tan-1   (± (frac{5}{3}) )  or 59.04(^0) , 120.96(^0)
09.54(^0) , 126.96(^0)
99.04(^0) , 100.96(^0)

360(^o) - α
90(^o) - α
45(^o) - α
180(^o) - α

145(^o)
180(^o)
360(^o)
120(^o)

190(^o)
135(^o)
360(^o)
180(^o)

90(^o)
60(^o)
180(^o)
360(^o)

360(^o)
120(^o)
390(^o)
60(^o)

6
4
5
12