Write the distance between the lines 4x+3y−11=0 and 8x+6y−15=0.
Let (h,k) be the point on the line
Distance of (h,k) from line 8x+6y−15=0
Determine the distance between the following pair of parallel lines:
(i) 4x−3y−9=0 and 4x−3y−24=0
(ii) 8x+15y−34=0 and 8x+15y+31=0
(iii) y=mx+c and y=mx+d
(iv) 4x+3y−11=0 and 8x+6y=15
Write the area of the triangle formed by the coordinate axes and the line sec θ−tan θ)x+(sec θ+tan θ)y=2.
If the centroid of a triangle formed by the points (0,0), (cos θ,sin θ) and (sin θ,−cos θ) lies on the line y=2x,then wirte the value of tan θ.
Write the value of θε(π2) for which area of the triangle formed by points O(0,0), A(a cos θ,b sin θ) and (a cos θ,b sin θ) is maximam.
Write an equation repesenting a pair of lines through the point (a,b) and parallel to the coordinates axes.
Write the coordinates of the imeage of the point (3,8) in the line x+3y−7=0.
Write the equation of the line passing through the point (1,-2) and cutting off equal intercepts from the axes.