The Number Of Integral Values Of m, For Which The x-coordinates Of The Point Of Intersection Of The Lines 2x + 4y = 9 And  Y = Mx + 1 Is Also An Integral Is

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The number of integral values of m, for which the x-coordinates of the point of intersection of the lines 2x + 4y = 9 and 

y = mx + 1 is also an integral is


Correct option is


Eliminating y, the x-coordinates of point of intersection is given by


Because x is also an integral

∴  3 + 4= 1, –1, 5 or –5

or       4= –2,  –4,2, –8


In all four values but integral values of m are only two i.e. –1 and –2.



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If a, b, c are all unequal and different from one and the points  are collinear then ab + bc + ca =


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              , then


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(1, –1) and parallel toPS is