Prove that the angle in a semicircle is right angle. (By vector method)

Show that each angle of a rectangle is a right angle.

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.

In any triangle. if(a^2-b^2)/(a^2+b^2)=("sin"(A-B))/("sin"(A+B)) , then prove that the triangle is either right angled or isosceles.

In a right angle triangle, the sum of hypotenuous and one side is given, Prove that when the angle between them is (pi)/(3) , the area of the triangle is maximum.

Two maiden are drawn from the verticies of an acute angles of the isosceless right angled triangle then angle between them is ..........

Show the complex numbers -2+3i,-2i and 4-I in the Argand plane. Prove that they are vertices ofa right angle triangle.

Assertion :- For a very small angle theta , sinthetaapproxtheta . Reason :- At very small angle, arc, subtends a right angle at the centre of arc.

Prove that the curves x=y^(2) and xy = k cuts at right angles if 8k^(2)=1 .

If A be the area of a right Deltaand b be one of the sides containing the right angle, prove that the length of the altitude on the hypotenuse is (2Ab)/(sqrt(b^(4)+4A^(2)) .

Find the volume of isosceles right angled triangular prism in