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The number of lines that are parallel to 2x + 6y- 7= 0 and have an intercept 10 between the coordinate axes is : - (a) 1 (b) 2 (c) 4 (d) infintely many

The number of lines that are parallel to 2x + 6y- 7= 0 and have an intercept 10 between the coordinate axes is : -


(a) 1   (b) 2   (c) 4   (d) infintely many

Grade:12

1 Answers

vikas askiitian expert
509 Points
10 years ago

y = mx + c................1

2x + 6y - 7 = 0

m = -1/3 so the eq of line which is parallel to above line is

y = -x/3 + c        ................2

y intercept = (0,c)

x intercept = (3c,0)

y using distance formula , distance  bw these two points will be

d = (9c2 + c2)1/2 = (+ or - )(root10)c            (distance bw coordinate axis)

d = 10             (given) so

c = + or - (root10)

there are two possible values for c so total number of lines can be 2 ...

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