A and B represent the complex numbers `1 + ai and 3 + bi` respectively and triangle OAB is an isosceles triangle right-angled at A. Then the values of a and b can be (where O is the origin):

Delta PQR is right angled isosceles triangle, right angled at R. Find value of sin P.

Delta PQR is right angled isosceles triangle, right angled at R. Find value of sin P.

A B C is an isosceles right triangle right-angled at C . Prove that A B^2=2A C^2 .

If the points A(-2, k), B(3,-4) and C(7,10) are the vertices of a right angled isosceles triangle right angled at A, find the value of k and the area of Delta ABC .

If ABC is an isosceles triangle where B = (1, 3) and C = (-2, 7) then A =

In any triangle ABC : If a cos A = b cos B, prove that either the triangle is isosceles or right-angled.

Let A,B and C represent the complex number z_1, z_2, z_3 respectively on the complex plane. If the circumcentre of the triangle ABC lies on the origin, then the orthocentre is represented by the number

A, B, C are the point representing the complex numbers z_1,z_2,z_3 respectively on the complex plane and the circumcentre of the triangle ABC lies at the origin. If the altitude of the triangle through the vertex A meets the circumcircel again at P, then prove that P represents the complex number -(z_2z_3)/(z_1)