The point of the form (a,a) always lies on

The point of form (a, -a) always lies on the line

The point of the form (a,-a), a!=0 lies on

If z=x+iyand(z-i)/(z+1) is purely imaginary, then show that the point z always lies on a circle.

If z=x+iy and (z-i)/(z+1) is purely imaginary,then show that the point z always lies on a circle.

The centre of mass always lies on the axis of symmetry if it exists. Is this statement true or false?

The centre of mass always lies on the axis of symmetry if it exists. Is this statement true or false?

Two straight lines rotate about two fixed points (-a, 0) and (a,o). If they start from their position of coincidence such that oen rotates at the rate double that of the other, then The point (-a,0) always lies

Let f:RtoR be a differentiable function AAxinR . If the tangent drawn to the curve at any point xin(a,b) always lies below the curve , then

Consider the following statements : 1. The orthocentre of a triangle always lies inside the triangle. 2. The centroid of a triangle always lies inside the triangle. 3. The orthocentre of a right angled triangle lies on the triangle. 4.The centroid of a right angled triangle lies on the triangle. Which of the above statements are correct ?

If y-coordinate of a point is zero, then this point always lies