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QJEEM24Maa53e: JEE Main 2024 Mathematics - Class 11 JEEM24Maa53e Solution: A line passing through the point makes an angle of with the…

A line passing through the point A(9,0)\mathrm{A}(9,0) makes an angle of 30∘30^{\circ} with the positive direction of xx -axis. If this line is rotated about A through an angle of 15∘15^{\circ} in the clockwise direction, then its equation in the new position is :

Multiple Choice Options

  • A y3+2+x=9\frac{y}{\sqrt{3}+2}+x=9
  • B x3+2+y=9\frac{x}{\sqrt{3}+2}+y=9
  • C x3−2+y=9\frac{x}{\sqrt{3}-2}+y=9
  • D y3−2+x=9\frac{y}{\sqrt{3}-2}+x=9

Step-by-Step Verified Solution

JEE Main 2024 (Online) 30th January Morning Shift Mathematics - Straight Lines and Pair of Straight Lines Question 21 English Explanation

Eqn:y−0=tan⁡15∘(x−9)⇒y=(2−3)(x−9)\mathrm{Eq}^{\mathrm{n}}: y-0=\tan 15^{\circ}(x-9) \Rightarrow y=(2-\sqrt{3})(x-9)

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