Which of the following lines have the intercepts of equal lengths on the circle, `x^2+y^2-2x+4y=0` (A) `3x -y= 0` (B) `x+3y=0`(C) `x+3y+10=0` (D) `3x-y-10=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 line x+3y=0 is a diameter of the circle x^2+y^2-6x+2y=0

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 equation of the line(s) parallel to x-2y=1 which touch(es) the circle x^2+y^2-4x-2y-15=0 is (are) (a) x-2y+2=0 (b) x-2y-10=0 (c) x-2y-5=0 (d) 3 x-y-10=0

Find the point of intersection of the circle x^2+y^2-3x-4y+2=0 with the x-axis.

Which of the following is a point on the common chord of the circle x^2+y^2+2x-3y+6=0 and x^2+y^2+x-8y-31=0? (a) (1,-2) (b) (1,4) (c)(1,2) (d) 1,-4)

The equation of the line inclined at an angle of pi/4 to the x-axis ,such that the two circles x^2+y^2=4 and x^2+y^2 -10 x-14 y+65=0 intercept equal length on it, is (A) 2x-2y-3=0 (B) 2x-2y+3=0 (C) x-y+6=0 (D) x-y-6=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

Find the image of the circle x^2+y^2-2x+4y-4=0 in the line 2x-3y+5=0

The lines parallel to the normal to the curve x y=1 is/are (a) 3x+4y+5=0 (b) 3x-4y+5=0 (c) 4x+3y+5=0 (d) 3y-4x+5=0