﻿ If the algebraic sum of the perpendicular distances of a variable line from the points (0, 2), (2, 0) and (1, 1) is zero, then the line always passes through the point : Kaysons Education

# If The Algebraic Sum Of The Perpendicular Distances Of a variable Line From The Points (0, 2), (2, 0) And (1, 1) Is Zero, Then The Line Always Passes Through The Point

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## Question

### Solution

Correct option is

(1, 1)

If the line be ax + by + c = 0,

⇒  the line ax + by + c = 0 always passes through the point (1, 1).

#### SIMILAR QUESTIONS

Q1

Find the distance between the lines 5x + 12y + 40 = 0 and 10x + 24y – 25 = 0.

Q2

If P is (1, 2) and the line mirror is 2x – y + 4 = 0, find the coordinates of its image (i.e., Q).

Q3

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Q4

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Q5

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Q6

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Q7

If abc are all distinct, then the equations (b – c)x + (c – a)y + a – b = 0 and (b3 – c3)x + (c3 – a3)y + a3 – b3 = 0 represent the same line if

Q8

If the pair of lines x2 – 2pxy – y2 = 0 and x2 – 2qxy – y2 = 0 are such that each pair bisects the angle between the other pair, then pq equals

Q9

Angles made with x-axis by the two lines through the point  (1, 2) and cutting the line x + y = 4 at a distance  from the point (1, 2) are

Q10

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