1.

If2a+b +3c =0 , thenthe linea x+by+ c =0passesthroughthe fixedpointthat is

Answer»

` (( 2 )/( 3),( 1 ) /( 3)) `
` (0, 1 ) `
` ( (2 )/( 3), 0 ) `
NONE OFTHESE

Solution :Given, ` 2a+ b +3c =0 "" ` … (i)
and LINE, ` ax+ by+c= 0 `
` rArr3ax+ 3by+3c =0 ""`… (II)
On subtractingEq.(i)from Eq.(ii),weget
` ( 3x-2 ) a+(3y- 1 )b = 0 * a +0* b `
On comparingbothsides , we get
`3x- 2= 0rArrx=(2 )/( 3 ) `
`and3y- 1= 0rArry=( 1 ) / (3 ) `
`therefore`Line`ax+by+ c =0 `passesthroughthefixedpoint` (( 2 ) /( 3 ) , ( 1 ) /( 3 ) ) `


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