Pair of Straigh...

The image of the point (α,β) with respect to the  line x + y = 0 is

1. ( - β,−α)

2. (α,β)

3. none of these

4.(β,α)

Slope of any line parallel to X axis is

The vertices of a triangle are (0, 0), (3, 0) and (0, 4). Its orthocentre is at

The image of the point (α,β) with respect to the line x = y is

The equation of the line passing through the points (2, 3) and making an intercept of length 2 units between the lines y + 2x = 3 and y + 2x = 5 is

The distance between the lines 5x – 12y + 65 = 0 and 5x – 12y – 39 = 0

1. 2

2. none of these

3. - 2

4. 8

The straight lines x + y = 0, 3x + y − 4 = 0 and x + 3y − 4 = 0 form which of the following triangles?

Slope of a line is not defined if the line is

If P(1, 0), Q(– 1, 0) and R(2, 0) are three given points, then the locus of point S, which satisfies the relation (SQ)² + (SR)² = 2(SP)², is (where SQ, SR and SP are line segments)