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find the equation of the straight line through the point of intersection of the lines 2y = 3 3 and use-y + 7 =0 and which & Parallel to 5x+4y = 13. |
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Answer» Answer: Let the EQUATION of the line having equal INTERCEPTS on the axes be ax+ay=1 x+y=a....(1) On solving equation 4x+7y−3=0 and 2x−3y+1=0 we OBTAIN x=131andy=135 ∴{131,135} is the point of intersection of the two given lines. Since equation (1) PASSES through point {131,135} {131+135}=a ⇒a=136 ∴ Equation (1) becomes x+y=136,i.e.,13x+13y=6 Thus the required equation of the line is 13x+13y=6 |
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