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the path of two trains is given as 2x+4y-4=0 and x+2y+6=0 respectively. represent the path of trains graphically (plz the answer correct and don't play around) |
Answer» EXPLANATION.Graph of the equations. ⇒ 2x + 4y - 4 = 0. - - - - - (1). ⇒ x + 2y + 6 = 0. - - - - - (2). As we know that, From EQUATION (1), we get. ⇒ 2x + 4y - 4 = 0. - - - - - (1). PUT the value of x = 0 in the equation, we get. ⇒ 2(0) + 4y - 4 = 0. ⇒ 4y - 4 = 0. ⇒ 4y = 4. ⇒ y = 1. Their Co-ordinates = (0,1). Put the value of y = 0 in the equation, we get. ⇒ 2x + 4(0) - 4 = 0. ⇒ 2x - 4 = 0. ⇒ 2x = 4. ⇒ x = 4. Their Co-ordinates = (4,0). From equation (2), we get. ⇒ x + 2y + 6 = 0. - - - - - (2). Put the value of x = 0 in the equation, we get. ⇒ (0) + 2y + 6 = 0. ⇒ 2y + 6 = 0. ⇒ 2y = - 6. ⇒ y = - 3. Their Co-ordinates = (0,-3). Put the value of y = 0 in the equation, we get. ⇒ x + 2(0) + 6 = 0. ⇒ x + 6 = 0. ⇒ x = - 6. Their Co-ordinates = (-6,0). Both the curves are PARALLEL to each other. |
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