Q.
If the x-intercept of the line y=mx+2 is greater than 1 /2, then the gradient of the line lies in the interval
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a
(−1,0)
b
−14,0
c
−∞,−4
d
−4,0
answer is D.
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Detailed Solution
Given equation of line is y=mx+2⇒x−2m+y2=1it is given that x-intercept of the above line is greater than 12∴−2m−12>0⇒−2m−12>0⇒−4+m2m>0⇒4+m2m<0⇒−4
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