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 incentre of a triangle with vertices (1, ), (0, 0) and (2, 0) is

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)

The distance of the point ( x , y ) from Y axis is

1. |x|

2. y

3. x

4. |y|

Orthocentre of the triangle formed by the lines x + y = 1 and xy = 0 is

One of the equations of lines passing through the point (3, − 2) and inclined at 60º to the line x + y = 1 is

If (x, y) are the co-ordinates of a point in the plane, then  = 0 represents

The angle between lines 2x² − 7xy + 3y² = 0 is

The orthocenter of the triangle with vertices  and is

The orthocentre of the triangle whose vertices are A (0, 0), B (3, 4) and C (4, 0) is

Projection (the foot of perpendicular) from ( x , y ) on the x – axis is

The equation y−y1=m(x−x1),m∈R, represents all lines through the point (x1,y1) except the line

If the lines x + 2ay + a = 0, x + 3by + b = 0 and x + 4cy + c = 0 are concurrent, then a, b, c are in

The straight lines x + y = 0 , 3x - y – 4 = 0 , x + 3y – 4 = 0 form a triangle which is

The equation of the straight line passing through the intersection of the lines x - 2y = 1 and x + 3y = 2, and parallel to 3x + 4y = 0 is

The distance between the parallel lines given by (x + 7y)² + 4(x + 7y) − 42 = 0 is

The extremities of diagonal of a parallelogram are the points (3, − 4) and (− 6, 5). If the third vertex is (− 2, 1), then the fourth vertex will be

The distance of the point (α,β) from X axis is

1. α

2.|β|

3.|α|

4.none of these.