If the coordinates of the points A,B,C be `(-1,5),(0,0)` and `(2,2)` respectively, and D be the middle point of BC, then the equation of the perpendicular drawn from B to the line AD is

Find the coordinates of the foot of the perpendicular drawn from the point (1,-2) on the line y=2x+1.

Find the coordinates of the foot of the perpendicular drawn from the point (1,-2) on the line y=2x+1.

The coordinates of the points A, B, C are (0, 4), (2, 5) and (3 , 3) respectively. Prove that AB=BC and the angle ABC is a right angle.

Find the length of perpendicular drawn from point (2,-1) to the line 3x+4y-11=0 .

If the coordinates of the points A, B, C and D be (a, b), (a', b'), (-a, b) and (a',-b') respectively, then the equation of the line bisecting the line segments AB and CD is

In a triangle, ABC, the equation of the perpendicular bisector of AC is 3x - 2y + 8 = 0 . If the coordinates of the points A and B are (1, -1) & (3, 1) respectively, then the equation of the line BC & the centre of the circum-circle of the triangle ABC will be

In an isosceles triangle ABC, the coordinates of the points B and C on the base BC are respectively (1, 2) and (2. 1). If the equation of the line AB is y= 2x, then the equation of the line AC is

The coordinates of the point A and B are (a,0) and (-a ,0), respectively. If a point P moves so that P A^2-P B^2=2k^2, when k is constant, then find the equation to the locus of the point Pdot

The coordinates of the point A and B are (a,0) and (-a ,0), respectively. If a point P moves so that P A^2-P B^2=2k^2, when k is constant, then find the equation to the locus of the point P .

Let A(1, 1, 1), B(3, 7, 4) and C (-1, 3, 0) be three points in a plane. The co-ordinates of the foot of perpendicular drawn from point C to the line segment AB is