A point O is taken inside a rhombus ABCD such that its distances from the vertices B and D are equal. Show that AOC is a straight line.

A point O is taken inside an equilateral four sided figure A B C D such that its distances from the angular points D and B are equal. Show that A O and O C are in one and the same straight line. GIVEN : A point O inside an equilateral quadrilateral four sided figure A B C D such that B O=O Ddot TO PROVE : A O and O C are in one and the same straight line.

A point O is taken inside an equilateral four sided figure A B C D such that its distances from the angular points D and B are equal. Show that A O and O C are in one and the same straight line. GIVEN : A point O inside an equilateral quadrilateral four sided figure A B C D such that B O=O Ddot TO PROVE : A O and O C are in one and the same straight line.

The locus of a point on rhombus ABCD, so that it is equidistant from B and D

Show that the path of a moving point such that its distances from two lines 3x - 2y = 5 and 3x + 2y = 5 are equal is a straight line.

Show that the path of a moving point such that its distances from two lines 3x - 2y = 5 and 3x + 2y = 5 are equal is a straight line.

A B is a line segment. P\ a n d\ Q are points on opposite sides of A B such that each of them is equidistant from the points A\ a n d\ B (in figure). Show that the line P Q is perpendicular bisector of A B .

The locus of a point which moves such that the sum of the square of its distance from three vertices of a triangle is constant is a/an circle (b) straight line (c) ellipse (d) none of these

ABCD is a square with side AB = 2. A point P moves such that its distance from A equals its distance from the line BD. The locus of P meets the line AC at T_1 and the line through A parallel to BD at T_2 and T_3 . The area of the triangle T_1 T_2 T_3 is :

ABCD is a square with side AB = 2. A point P moves such that its distance from A equals its distance from the line BD. The locus of P meets the line AC at T_1 and the line through A parallel to BD at T_2 and T_3 . The area of the triangle T_1 T_2 T_3 is :

Find the locus of the point such that its distance from the y-axis is equal to its distance from the point (1, 1).