Graphically lines of the pair of equations 2x+6y-5=0 and x+3y+4=0, will
Answers
EXPLANATION.
Graph of the equation.
⇒ 2x + 6y - 5 = 0. - - - - - (1).
⇒ x + 3y + 4 = 0. - - - - - (2).
As we know that,
From equation (1), we get.
⇒ 2x + 6y - 5 = 0. - - - - - (1).
Put the value of x = 0 in equation, we get.
⇒ 2(0) + 6y - 5 = 0.
⇒ 6y - 5 = 0.
⇒ 6y = 5.
⇒ y = 5/6.
⇒ y = 0.833.
Their Co-ordinates = (0,0.833).
Put the value of y = 0 in equation, we get.
⇒ 2x + 6(0) - 5 = 0.
⇒ 2x - 5 = 0.
⇒ 2x = 5.
⇒ x = 5/2.
⇒ x = 2.5.
Their Co-ordinates = (2.5,0).
From equation (2), we get.
⇒ x + 3y + 4 = 0. - - - - - (2).
Put the value of x = 0 in equation, we get.
⇒ (0) + 3y + 4 = 0.
⇒ 3y = -4.
⇒ y = -4/3.
⇒ y = -1.33.
Their Co-ordinates = (0,-1.33).
Put the value of y = 0 in equation, we get.
⇒ x + 3(0) + 4 = 0.
⇒ x + 4 = 0.
⇒ x = -4.
Their Co-ordinates = (-4,0).
Both curves never intersect each other.