Maths-

General

Easy

Question

# If the pair of lines intersect on the x-axis, then 2fgh=

Hint:

### General synopsis of Pair of straight lines.

## The correct answer is:

### Given That:
If the pair of lines intersect on the x-axis, then 2fgh=
Put x = 0 in the given equation
=>$by2+2fy+c=0$

For unique point of intersection.

Discriminant = 0
$f2—bc=0$
=> $af2-a*b*c=0$
Since $abc+2fgh—af2—bg2—ch2=0$
=> $2fgh—bg2—ch2=0$

$∴2fgh=bg2+ch_{2}$
$_{∴2fgh=bg2+ch2.}$

Discriminant = 0

$∴2fgh=bg2+ch_{2}$

$2fgh=bg2+ch2$

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