Question

please answer it quickly​

Answer 1

$\bold{\red{Question}}$

If the area of the triangle formed by the pair of lines 8x² −6xy+y²=0 and the line 2x+3y=a is 7 then a=

$\bold{\green{Solution}}$

Area by pair of lines ax² +2hxy+by²=0

and a line |x+my+n=0| is

=$\bold{\frac{a²}{|72+36+4|}}$=7

$\bold{a²=7×112}$

$\bold{a²=7×7×4²}$

$\bold{a=7×4}$

$\bold{\red{a=28}}$

hope it helps ☺️