1.

The geometrical representation of which of the following equation/equations is parallel to x axis and lies at a distance of 3.5 units in the negative side of y axis? * 1 pointi. y+( 7/2) =0ii. x+( 7/2) =0iii. 2y+y=0iv . 2y-7 =o​

Answer»

Let the EQUATION of the LINE be y=mx+c .....(1) Since it is parallel to the X-axis then m=0. ∴ (1) BECOMES y=c .....(2) i.e the equation will have no x-term.Let's check for the equations givenx+y=3 contains term of x. So, it can't be parallel to X-axis.2x+3=7 contains x-term.Thus, it is not parallel to X-axis.2−y−3=y+1 ⟹y=1 which is in the form of (2) which does not contain x-term.x+3 contains x-term. So, it is also not parallel to X-axis.Thus, only the equation given by option C is parallel to X-axis.Hence, option C is correct.



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