A point which lies between `2x+3y-7=0 and 2x+3y+12-0` is (i)`(5,1)` (ii) `(-1,3)` (iii)`(-3,-5)` (iv)`(7,-1)`

A point on line x-y+1=0 at a distance 2sqrt(2) from the point (1,2) is (i)(3,4) (ii) (3,0) (iii) (-1,4)(iv)(0,1)

At what point, the slope of the tangent to the curvex^2 + y^2 - 2x - 3=0 is zero ? (i) (3,0),(-1,0) (ii) (3,0),(1,2) (iii) (-1,0),(1,2) (iv) (1.2),(1,-2)

The number of solutions of the equations 2x - 3y = 5, x+2y=7 is (i) 1 (ii)2 (iii)4 (iv) 0

Find the distance between the line and the point in each of the following : (i) 3x+4y-5=0 , (-3,4) (ii) 12x-5y-7=0 , (3,-1) (iii) 3x-4y-26=0 , (3,-5) (iv) x+y=0 , (0,0) (v)y=4 , (2,3) .

If the image of the point (-3,k) in the line 2x+y-2=0 is the point (1,5) then the value of k is (i) 2 (ii) 3 (iii) -3 (iv) 1

Image of point (3,5,7) in the plane 2x+y+z+18=0 (A) (-1,-1,-1) (B) (-21,-7,-5) (C) (-24,-12,-12) (D) (0,0,0)

If the point of intersection of kx+4y+2=0, x-3y+5=0 lies on 2x+7y-3=0 then k =