Find a relation between x and y such that the point (x, y) is equidistant from the points (7, 1) and (3, 5).

Show that the points (1, 7), (4, 2), (-1,-1) and (-4,4) are the vertices of a square.

If A (-5, 7), B (-4, -5), C (-1, -6) and D (4, 5) are the vertices of a quadrilateral, find the area of the quadrilateral ABCD.

Find the area of triangle whose vertices are (1 , 1), (2,3) and (4, 5).

Find the area of triangle ABC, where A (0, 0), B(3, 4) and C (0, 3).

Find the value of k, for which the points (7, -2),(5, 1) and (3, - k) are collinear?

Find the area of quadrilateral whose vertices are (- 1, - 1), (- 1, 4), (5,4) and (5, - 1)

Find the Slope or Gradient of a line whose angle of inclination is (i) 45^o (ii) 60^o.

Find the slope of the line that passes through the points (2, 0) and (3, 4).

What is the slope of the line parallel to the line whose slope is 2?

Are the three points A(2,3), B (5, 6) and C (0, -2) collinear?

Find the equation of the straight line passing through the points (a, b) and (a + b, a - b).

Find the equation of the line passing through (1, 2) and making an angle of 30^o, with y-axis.

Find the equation of the line whose x intercept is 4 and y intercept is \(-\frac{3}{2}\)

Find the values of k if the straight line 2x + 3y + 4 + k(6x - y + 12) = 0 is perpendicular to the line 7x + 5y - 4 = 0.

A line passing through the points (a, 2a) and (-2, 3) is perpendicular to the line 4x + 3y + 5 = 0, find the values of 'a'.

Find the angle between the lines x = a and by + c = 0.

Find the equation of a line passing through the point (-4, 3) and having slope \(-\frac{7}{5}\)

Show that the straight lines 3x - 5y + 7 = 0 and 15x + 9y + 4 = 0 are perpendicular.