Question

Equation of the line making equal intercepts on the axes and passing through the point (2,4) is (A) 4x-y-4=0 (B) 2x+y-8=0 (C) X+y-6=0 (D) X+2y-10=0

Answer 1

(x,y) = (2,4)

A)4x-y-4=0
4×2-4-4 = 0
8-8 =0
0 = 0
B)2x+y-8 = 0
2×2+4-8 = 0
4+4-8 =0
8-8 = 0
0 = 0
C)x+y-6 = 0
2+4-6 = 0
6-6 = 0
0 = 0
D)x+2y-10 = 0
2+2×4-10 = 0
2+8-10 = 0
10- 10 = 0
0 = 0
All given points pass through line

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