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Questions  

If the x-intercept of the line y = mx + 2 is greater than 12, then the gradient of the line lies in the interval 

a
(−1,0)
b
−14,0
c
(−∞,−4)
d
(−4,0)

detailed solution

Correct option is D

Given equation of line is y = mx + 2 ⇒ x−2m+y2=1It is given that x-intercept of the above line is greater than l/2.∴    −2m>12⇒    −2m−12>0⇒    4+m2m<0⇒    −4

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