# If the line y =x+k  touches the hyperbola 9x^2 -16y^2 =144, then k = - Mathematics and Statistics

MCQ

If the line y =x+k  touches the hyperbola 9x2 -16y2 =144, then k = _________

#### Options

• 7

• -7

• +-sqrt7

• +-sqrt19

#### Solution

C)+-sqrt7

Concept: Conics - Tangents and normals - equations of tangent and normal at a point
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