Let A (-2, 0) and B(2, 0), then the number of integral values of a, `a in [-10, 10] for which line segment AB subtends an acute angle at point C (a, a+1) is

Let A = (-2,0) , B = (2,0) and the point P moves such that P = (a,a+1) , a in [-10,10] and bar(AB) subtends acute angle at P then find the number of possible positions of P.

The point at which the line segment joining A(1, 1) and B (5, 5) subtends an obtuse angle is

If O=(0,0), A=(1,0) and B=(1//2, sqrt3//2) then the centre of the circle for which the lines OA, Ab and BO are the tangents, is

A and B are two fixed points and the line segment AB always subtends an acute angle at a variable point P .Show that the locus of the point P is a circle.

Let A(3,-1) and B(8,9) be two points in what ratio does the line x-y-2 = 0 divide the line segment AB.?

P and Q are two points on a line passing through (2, 4) and having slope m. If a line segment AB subtends a right angles at P and Q, where A(0, 0) and B(6,0), then range of values of m is

P and Q are two points on a line passing through (2,4) and having slope m.If a line segment AB subtends a right angles at P and Q,where A(0,0) and B(6,0), then range of values of m is

P and Q are two points on a line passing through (2, 4) and having slope m. If a line segment AB subtends a right angles at P and Q, where A(0, 0) and B(6,0), then range of values of m is

Find the locus of a point at which the angle subtended by the line segment joining (1, 2) and (-1, 3) is a right angle.

Find the locus of a point at which the angle subtended by the line segment joining (1, 2) and (-1, 3) is a right angle.