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

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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

The equation of the plane through the origin and parallel to the plane 3x-4y+5z-6=0 is (A) 3x-4y-5z-6=0 (B) 3x-4y+5z+6=0 (C) 3x-4y+5z - 6=0 (D) 3x+4y-5z+6=0

The point at which the normal to the curve y = x+1/x, x > 0 is perpendicular to the line 3x – 4y – 7 = 0 is

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

Determine the nature of the quadrilateral formed by four lines 3x+4y -5=0, 4x-3y-5=0; 3x + 4y - 5 = 0 and 4x-3y + 5 = 0 Find the equation of the circle insc quadrilateral inscribed and circumscribing this quadrilateral.

The slope of the radical axis of the circles x^2+y^2+3x+4y-5=0 and x^2+y^2-5x+5y+6=0 is

The perimeter of a parallelogram whose sides are represented by the lines x+2y+3=0 , 3x+4y-5=0,2x+4y+5=0 and 3x+4y-10=0 is equal to

Let (2,3) be the focus of a parabola and x + y = 0 and x-y= 0 be its two tangents. Then equation of its directrix will be (a) 2x - 3y = 0 (b) 3x +4y = 0 (c) x +y = 5 (d) 12x -5y +1 = 0

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

The distance of the point of intersection of the lines 2x-3y+5=0 and 3x+4y=0 from the line 5x-2y=0 is

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