The image of line `2x+y=1` in line `x+y+2=0` is : (A) `x+2y-7=0` (B) `2x+y-7=0` (C) `x+2y+7=0` (D) `2x+y+7=0`

The equation of straight line belonging to both the families of lines (x-y+1)+lambda_1(2x-y-2)=0 and (5x+3y-2)+lambda_2(3x-y-4)=0 where lambda_1, lambda_2 are arbitrary numbers is (A) 5x -2y -7=0 (B) 2x+ 5y - 7= 0 (C) 5x + 2y -7 =0 (D) 2x- 5y- 7= 0

The image line of 2x-y-1=0 w.r.t 3x-2y+4=0 is

3x + 2y = 0, x + 3y = 7

The image of plane 2x-y+z=2 in the plane mirror x+2y-z=3 is (a) x+7y-4x+5=0 (b) 3x+4y-5z+9=0( c) 7x-y+2z-9=0 (d) None of these

The equation of the circle through the points of intersection of x y -1 -0, x y -2x-4 y l 0 and touching the line x 2y 0, is (B) x y 2 x+20 (C) x y (D) 2 (x2 y x 2

When the axes are rotated through an angle 90° the equation 5x – 2y + 7 = 0 transforms to (A) 2X - 5Y+7=0 (B) 2X + 5Y - 7 = 0 (C) 2x - 5Y – 7=0 (D) 2X + 5Y +7= 0

Find the equations of the straight lines passing through the point (-3, 2) and making an angle of 45^(@ with the straight line 3x-y+4=0 (A) x-2y+7=0,2x+y+4= (B) x+2y+7=0,2x-y+4=0(c) x-2y-7=0,2x+y+4=0 (D) x-2y-7=0,2x+y-4=0

The lines x+2y+3=0,x+2y-7=0, and 2x-y-4=0=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

The equation of the ellipse whose focus is (1, -1) , directrix is the line x-y-3=0 and eccentricity is 1/2 , is: (A) 7x^2 + 2xy + 7y^2 + 7 = 0 (B) 7x^2 + 2xy+7y^2 + 10x - 10y - 7 = 0 (C) 7x^2 + 2xy + 7y^2 - 10x + 10y + 7 = 0 (D) none of these

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