If the line y = mx + c is a common tangent to the hyperbola (x²)/100 - (y²)/64 = 1 and the circle x² + y² = 36, then which one of the following is true?

Coordinate Geometry: JEE Main 2020 Mathematics question

JEE Main 2020 · 5 Sep, Evening shift · Q3938

JEE Main 20205 Sep, Evening shiftMathematicsMediumCoordinate Geometry478× since 2002

If the line y = mx + c is a common tangent to the hyperbola

{{{x^2}} \over {100}} - {{{y^2}} \over {64}} = 1

and the circle x² + y² = 36, then which one of the following is true?

JEE Main 2020 · 5 Sep, Evening shift · Q3938

JEE Main 20205 Sep, Evening shiftMathematicsMediumCoordinate Geometry478× since 2002

If the line y = mx + c is a common tangent to the hyperbola

{{{x^2}} \over {100}} - {{{y^2}} \over {64}} = 1

and the circle x² + y² = 36, then which one of the following is true?