If a, b, c are All Distinct, Then The Equations (b – c)x + (c – a)y + a – b = 0 And (b3 – c3)x + (c3 – a3)y + a3 – b3 = 0 Represent The Same Line If

Find the equation of the line perpendicular to 2x – 3y = 5 and cutting off an intercept 1 on the x-axis

Find the equation of the straight line passing through (2, –9) and the point of intersection of lines 2x + 5y – 8 = 0,

3x – 4y – 35 = 0  

Find the equation of straight line passing through the point of intersection of lines 3x – 4y +1 = 0, 5x + y – 1 = 0 and cutting off equal intercepts from coordinate axes.

Find the distance between the lines 5x + 12y + 40 = 0 and 10x + 24y – 25 = 0.

If P is (1, 2) and the line mirror is 2x – y + 4 = 0, find the coordinates of its image (i.e., Q).

Find the values of λ for which the point (2 – λ, 1 + 2λ) lies on the non-origin side of the line 4x – y – 2 = 0. 

Find the incentre of ΔABC if A is (4, –2), B is (–2, 4) and C is (5, 5).

Find the coordinates of the orthcentre of the triangle whose vertices are (0, 0), (2, –1) and (–1, 3).

Find straight lines represented by 6x² + 13xy + 6y² + 8x + 7y + 2 = 0 and also find the point of intersection.  

If the pair of lines x² – 2pxy – y² = 0 and x² – 2qxy – y² = 0 are such that each pair bisects the angle between the other pair, then pq equals