Straight Line a...

The point moves such that the area of the triangle formed by it with points (1,5) and (3,–7) is 21 sq.unit. The locus of the point is

A straight line through the point, (1,1) meets the x-axis at \'A\' and the y-axis at \'B\' . The locus of the mid-point of AB is

The points on the line x + y = 4 which lie at a unit distance from the line 4x + 3y = 10,are

If the length of the perpendicular drawn from the origin to the line whose intercepts on the axes are a and b be p, then

The perpendicular distance of the straight line 12x + 5y = 7 from the origin is given by

The distance between 4x + 3y = 11 and 8x + 6y = 15, is

A line passes through the point of intersection of the lines 3x + y + 1 = 0 and 2x – y + 3 = 0 and makes equal intercepts with axes. Then equation of the line is

If the line y = 7x – 25 meets the circle x² + y² = 25 in the points A, B, then the distance between A and B is

The distance of the point (–2,3) from the line x – y = 5 is