PASSES through (0, 2). i.e., \[2=0-0+b\] or \[b=2\] Again, \[\frac{DY}{dx}=2ax-6\] At \[x=\frac{3}{2},\frac{dy}{dx}=3a-6\] Since TANGENT is parallel to x-axis, \[\frac{dy}{dx}=0\] or \[3a-6=0\] or \[a=2\]. HENCE, \[a=2,b=2\].

"> PASSES through (0, 2). i.e., \[2=0-0+b\] or \[b=2\] Again, \[\frac{DY}{dx}=2ax-6\] At \[x=\frac{3}{2},\frac{dy}{dx}=3a-6\] Since TANGENT is parallel to x-axis, \[\frac{dy}{dx}=0\] or \[3a-6=0\] or \[a=2\]. HENCE, \[a=2,b=2\].

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If the curve \[y=a{{x}^{2}}-6x+b\] passes through (0, 2) and has its tangent parallel to the x-axis at \[x=\frac{3}{2},\] then

Joint Entrance Exam - Main (JEE Main) Mathematics in Joint Entrance Exam - Main (JEE Main) . 10 months ago

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[c] \[y=a{{x}^{2}}-6x+b\] PASSES through (0, 2). i.e., \[2=0-0+b\] or \[b=2\] Again, \[\frac{DY}{dx}=2ax-6\] At \[x=\frac{3}{2},\frac{dy}{dx}=3a-6\] Since TANGENT is parallel to x-axis, \[\frac{dy}{dx}=0\] or \[3a-6=0\] or \[a=2\]. HENCE, \[a=2,b=2\].

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Posted on 14 Aug 2024, this text provides information on Joint Entrance Exam - Main (JEE Main) related to Mathematics in Joint Entrance Exam - Main (JEE Main). Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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