Q 2 a )please please answer

Q 2 a )please please answer m understanding distance formula Find the distance between the following pairs of points. Calculate correct to three figures. (a) (0, O , (-5, 12) (b) (4, (-4, 3) Find the distance between the points P on the x-axis and Q on the y-axis, where OP? OQ = 8 cm and O is the origin. Use distance formula to find the length PQ. (b) The point Q has the coordinates (0, —4). Find the coordinates'dfthe distance between P and Q is 5 units. (a) Prove the distance between A(I, 2) and B(3, 8) is double the (b) If the coordinates of the points A and B be (asin 0, —b cos 0) 0, bsin prove that 0142 + OB2 = a2 +b2, where O is the origin. • *c) Prove that the distance of the point (asin 0+bcos 0, acos O-bsinO) from independent of the value of 0. *A,) Find a if the distance of the point (4, 1) from the point (3, a) is