Consider a `DeltaABC` whose sides AB, BC, and CA are represented by the straight lines 2x+y=0, x+py=q, and x-y=3, respectively. The point P(2,3) is the orthocenter. The value of (p+q) is____.

Consider a DeltaABC whose sides AB, BC and CA are represented by the straight lines 2x + y=0, x + py =q and x -y= 3 respectively. The point P is (2,3) . If P is orthocentre,then find the value of (p+q) is

Consider a DeltaABC in which sides AB and AC are perpendicular to x-y-4=0 and 2x-y-5=0, repectively. Vertex A is (-2, 3) and the circumcenter of DeltaABC is (3/2, 5/2). The equation of the line in List I is of the form ax+by+c=0, where a,b,c in I. Match it with the corresponding value of c in list II and then choose the correct code. Codes : {:(a, b, c, d),(r, s, p, q),(s, r, q, p),(q, p, s, r),(r, p, s, q):}

The equation of the straight line whose x and y intercepts are 2 and -3 respectively is ___.

Find the value of a for which the straight lines x+y-4=0,3x+2=0 and x-y+3a=0 are concurrent.

A line intersects the straight lines 5x-y-4=0 and 3x-4y-4=0 at A and B , respectively. If a point P(1,5) on the line A B is such that A P: P B=2:1 (internally), find point Adot

If the straight lines 12y=-(p+3)x+12, 12x-7y=16 are perpendicular then find 'p'.

If the straight lines 12y=-(p+3)x+12,12x-7y=16 are perpendicular find 'p' .

Consider the line 3x – 4y + 2 = 0 and the point (2, -3) Find the distance of the point from the line.

A straight line through the origin 'O' meets the parallel lines 4x +2y= 9 and 2x +y=-6 at points P and Q respectively. Then the point 'O' divides the segment PQ in the ratio