The lines `x+2y+3=0,x+2y-7=0,a n d2x-y-4=0` are the sides of a square. The equation of the remaining side of the square can be (a) `2x-y+6=0` (b) `2x-y+8=0` (c) `2x-y-10=0` (d) `2x-y-14=0`

If x-2y+4=0 and 2x+y-5=0 are the sides of an isosceles triangle having area 10sq dot units , the equation of the third side is (a) 3x-y=-9 (b) 3x-y+11=0 (c) x-3y=19 (d) 3x-y+15=0

The equation of tangent to hyperbola 4x^2-5y^2=20 which is parallel to x-y=2 is (a) x-y+3=0 (b) x-y+1=0 (c) x-y=0 (d) x-y-3=0

Two sides of a square lie on the lines x+y=1a n dx+y+2=0. What is its area?

Which of the following line can be normal to parabola y^2=12 x ? (a) x+y-9=0 (b) 2x-y-32=0 (c) 2x+y-36=0 (d) 3x-y-72=0

The equations of tangents to the circle x^2+y^2-6x-6y+9=0 drawn from the origin in (a) x=0 (b) x=y (c) y=0 (d) x+y=0

Which of the following line can be tangent to the parabola y^2=8x ? (a) x-y+2=0 (b) 9x-3y+2=0 (c) x+2y+8=0 (d) x+3y+12=0

The equation of the bisector of the acute angle between the lines 2x-y+4=0 and x-2y=1 is (a) x-y+5=0 (b) x-y+1=0 (c) x-y=5 (d) none of these

The equation of the transvers axis of the hyperbola (x-3)^2+(y=1)^2+(4x+3y)^2 is x+3y=0 (b) 4x+3y=9 3x-4y=13 (d) 4x+3y=0

Find the equations to the common tangents of the circles x^2+y^2-2x-6y+9=0 and x^2+y^2+6x-2y+1=0

The equation of the line AB is y = x . If A and B lie on the same side of the line mirror 2x-y = 1 , then the equation of the image of AB is (a) x+y-2=0 (b) 8x+y-9=0 (c) 7x-y-6=0 (d) None of these