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Question

State, true or false :

(i) the line x2+y3=0 passes through the point (2, 3).

(ii) the line x2+y3=0 passes through the point (4, -6).

(iii) the point (8, 7) lies on the line y - 7 = 0

(iv) the point (-3, 0) lies on the line x + 3 = 0

(v) if the point (2, a) lies on the line 2x - y = 3, then a = 5.

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Solution

(i) Statement is false
as
2 over 2 plus 3 over 3 not equal to 0

(ii)it is true because
4 over 2 minus 6 over 3
2-2=0

(iii) true
(8,7) lie on the line because
in line y-7=0 it is satisfied for
x€R

(iv)true
As line x-3 is satisfied for y€R

(v)false because the value of a comes out to be

4-a=3
a=1

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