When the axes are rotated through an angle 900 the equation 5x – 2y + 7 = 0 transforms to

Use x=Xcos⁡90∘−Ysin⁡90∘,y=Xsin⁡90∘+Ycos⁡90∘⇒x=−Y&y=X. Substituting in 5x−2y+7=0-5Y-2X+7=02X+5Y-7=0

When the axes are rotated through an angle 900 the equation 5x – 2y + 7 = 0 transforms to

Use x=Xcos⁡90∘−Ysin⁡90∘,y=Xsin⁡90∘+Ycos⁡90∘⇒x=−Y&y=X. Substituting in 5x−2y+7=0-5Y-2X+7=02X+5Y-7=0

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When the axes are rotated through an angle 90⁰ the equation 5x – 2y + 7 = 0 transforms to

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$2 X - 5 Y + 7 = 0$

$2 X + 5 Y + 7 = 0$

$2 X + 5 Y - 7 = 0$

$2 X - 5 Y - 7 = 0$

answer is B.

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$\begin{aligned} U s e x = X \cos 90^{\circ} - Y \sin 90^{\circ}, y = X \sin 90^{\circ} + Y \cos 90^{\circ} \\ \Rightarrow x = - Y & y = X . Substituting in 5 x - 2 y + 7 = 0 \\ - 5 Y - 2 X + 7 = 0 \\ 2 X + 5 Y - 7 = 0 \end{aligned}$

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When the axes are rotated through an angle 900 the equation 5x – 2y + 7 = 0 transforms to

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When the axes are rotated through an angle 90⁰ the equation 5x – 2y + 7 = 0 transforms to