﻿ If the straight line x + y = 1 touches the parabola y2 – y + x = 0, then the coordinates of the point of contact are : Kaysons Education

# If The Straight Line x + Y = 1 Touches The Parabola y2 – y + X = 0, Then The Coordinates Of The Point Of Contact Are

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## Question

### Solution

Correct option is

(0, 1)

x + y = 1                                   … (1)

is tangent to parabola y2 – y + x = 0 its tangent is

2yy­1 – y – y1 + x + x1 = 0

x + y(2y1 – 1) = y1 – x1              … (2)

Compare (1) and (2),

.

Point of contact is (0, 1).

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