If the lines $2y-kx+2=0$and $y+x-\tfrac{k}{2}=0$intersect at (1, – 2). Find the value of k

PQ and RS are two parallel lines. If the coordinate P, Q, R, S are (1,q), (3,2), (3,4),(5,2q) respectively . Find the value of q

What is the locus of points equidistant from the ax + by + c = 0 

Find the equation of the perpendicular at point (4,3) to the line y +2x – 5

Find the coordinate of the midpoint of the line joining (3, –4) and (–1, 10)

Find the midpoint of the line joining  P(–3,5)  and Q (5, –3)

Find the value of ${{\alpha }^{2}}+{{\beta }^{2}}$ if $\alpha +\beta =2$and the distance between the points $(1,\alpha \text{ )and (}\beta ,1)$is 3 units

A triangle has vertices P( –1,6), Q(–3, –4) and R (1, –4). Find the midpoint PQ and QR respectively

Find the value of P, if the line which passes through (– 1, –p) and (–2p, 2) is parallel to the line $2y+8x-17=0$

Find the equation of the locus of a point P(x, y), which is equidistant from Q (0, 0) and R (2, 1)