Show, by vector method, that the angle in a semicircle is a right angle.

Show, by vector methods, that the angularbisectors of a triangle are concurrent and find an expression for the position vector of the point of concurrency in terms of the position vectors of the vertices.

By vector method show that , an angle inscribed in a semi - circle is a right angle ,

Using vector method show that the diagonals of a rhombus are at right angles .

Prove that an angle inscribed in a semi-circle is a right angle using vector method.

Let ‘O’ be the centre of a circle, PQ is a diameter, then prove that angle PRQ = 90^@ (OR) Prove that angle in a semi-circle is right angle.

If (a^(2) + b^(2))sin (A-B) = (a^(2)-b^(2)) sin(A+B) then show that, the triangle is either isoscelels or right angled.

By vector method show that , median to the base of an isocales triangle is perpendicular to the base .

In any triangle ABC if cosA=sinB-cosC then show that any angle of the triangle is a right angle.

Answer any One question : prove that semicirular angle is a right angle.

Write True or False The angle in the segment of a circle which is greater than a semicircle is an acute angle.