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JEE MATHEMATICS MCQ: TANGENTS & NORMALS

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Application +4 | -1
Let CC be a curve given by y=1+4x−3y=1+\sqrt{4 x-3}, x>34x > \frac{3}{4}. If PP is a point on C\mathrm{C} such that the tangent at PP has slope 23\frac{2}{3}, then a point through which the normal at PP passes, is
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Correct option: B
(1,7)(1,7)
Option B (1,7) is correct because the normal at P(3,4) passes through the point (1,7).

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