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KCET2008MathematicsHyperbola

The equation of the normal to the hyperbola x² 16 - y² 9 =1 at (-4,0) is

Options

  1. A2 x -3 y =1
  2. Bx =0
  3. Cx=1
  4. Dy=0

Correct answer

D. y=0

Step-by-step solution

We know that, the equation of normal at the point ( x ₁, y ₁ ) to the hyperbola x ² a ² - y ² ~b ² =1 is a² x x₁ + b² y y₁ =a²+b² Given equation is x² 16 - y² 9 =1 Here, a²=16, b²=9 The equation of normal at the point (-4,0) is aligned 16 x -4 + 9 y 0 &=16+9 9 y 0 &=25+ 16 x 4 9 y &=0 y=0 aligned

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