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If the equation 12x^(2)+7xy-py^(2)-18x+q...

If the equation `12x^(2)+7xy-py^(2)-18x+qy+6=0` represents a pair of perpendicular straight lines, then

A

`(7)/(2)`

B

`-19`

C

`-12`

D

`12`

Text Solution

Verified by Experts

The correct Answer is:
C

On comparing the given equation with standared equation , we get
`a=12 and b=a` for perpendicular lines.
Coefficient of `x^2+` Coefficient of `y^2=0`
`therefore 12+a=0`
`rArr a=-12` .
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