﻿ The line x + y = 1 meets x-axis at A and y-axis at B, P is the mid-point ofAB (Fig). P1­ is the foot of the perpendicular from P to OA; M1 is that from P1 to OP; P2 is that from M1 to OA; M2 is that from P2 to OP; P3is that from M2 to OA and so on. If Pn denotes the nth foot of the perpendicular on OA from Mn – 1, then OPn =   : Kaysons Education

# The Line x + y = 1 Meets x-axis At A and y-axis At B, P is The Mid-point OfAB (Fig). P1­ is The Foot Of The Perpendicular From P to OA; M1 is That From P1 to OP; P2 is That From M1 to OA; M2 is That From P2 to OP; P3is That From M2 to OA and So On. If Pn denotes The nth Foot Of The Perpendicular On OA from Mn – 1, Then OPn =

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## Question

### Solution

Correct option is

1/2n

y = 1 meets x-axis at A (1, 0) and y-axis at B(0, 1) (Fig).

 The coordinates of P are (1/2, 1/2) and PP1 is perpendicular to OA. Equation of line OP is y = x. (say)

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