Straight Line a...

Image of the point (–1, 3) w.r.t. the line y = 2x is

If the extremities of the base of an isosceles triangle are the points (2a,0) and (0,a) and the equation of one of the sides is x = 2a, then the areas of the triangle is

The equation to the sides of a triangle are x – 3y = 0, 4x + 3y = 5 and 3x + y = 0. Then line 3x – 4y = 0 passes through

Two lines are drawn through (3,4) , each of which makes angle of 45^o with the line x – y = 2, then area of the triangle formed by these lines is

The area of the triangle formed by the line x sin α + y cos α = sin 2α and the coordinates axes is

The triangle formed by x² – 9y² = 0 and x = 4 is

The locus of a point so that sum of its distance from two given perpendicular lines is equal to 2 units in first quadrant, is

If the sum of distance from a point P on two mutually perpendicular straight lines is 1 unit , then the locus of P is

The distance between the lines 3x + 4y = 9 and 6x + 8y =15 is

If p and p\' be the distances of origin from the lines x sec α + y cosec α = k and x cos α – y sin α = k cos 2α, then 4p² + p¹²