LET \[y={{x}^{2}}-4x+3\] DIFFERENTIATE both sides w.r.t. ?x? \[\FRAC{dy}{dx}=2x-3\] So, SLOPE \[=2x-3\] Since, tangent is \[\parallel \] to x = axis \[\therefore \] slope = 0 \[\Rightarrow \frac{dy}{dx}=0\Rightarrow 2x-3=0\Rightarrow x=\frac{3}{2}\] \[\Rightarrow \] one tangent

"> LET \[y={{x}^{2}}-4x+3\] DIFFERENTIATE both sides w.r.t. ?x? \[\FRAC{dy}{dx}=2x-3\] So, SLOPE \[=2x-3\] Since, tangent is \[\parallel \] to x = axis \[\therefore \] slope = 0 \[\Rightarrow \frac{dy}{dx}=0\Rightarrow 2x-3=0\Rightarrow x=\frac{3}{2}\] \[\Rightarrow \] one tangent

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How many tangents are parallel to x-axis for the curve\[y={{x}^{2}}-4x+3\]?

Joint Entrance Exam - Main (JEE Main) Mathematics in Joint Entrance Exam - Main (JEE Main) . 11 months ago

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[a] LET \[y={{x}^{2}}-4x+3\] DIFFERENTIATE both sides w.r.t. ?x? \[\FRAC{dy}{dx}=2x-3\] So, SLOPE \[=2x-3\] Since, tangent is \[\parallel \] to x = axis \[\therefore \] slope = 0 \[\Rightarrow \frac{dy}{dx}=0\Rightarrow 2x-3=0\Rightarrow x=\frac{3}{2}\] \[\Rightarrow \] one tangent

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Posted on 06 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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