If the equation 2x^(2)+2hxy +6y^(2) - 4x...

If the equation `2x^(2)+2hxy +6y^(2) - 4x +5y -6 = 0` represents a pair of straight lines, then the length of intercept on the x-axis cut by the lines is equal to

A

2

B

4

C

`sqrt(7)`

D

0

Verified by Experts

The correct Answer is:

B

Put `y = 0 rArr 2x^(2) -4x -6 = 0 rArr x^(2) -2x -3 =0`
`rArr (x-3) (x+1) =0`
`:.` Length of intercept `= 13 -(-1)|=4` units

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