If m is the slope of a common tangent to the curves … and …, then … is equal to :

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JEE Main 2022 · 26 Jun, Evening shift · Q3721

MathematicsEasy74×since 2004Q3721

If m is the slope of a common tangent to the curves

{{{x^2}} \over {16}} + {{{y^2}} \over 9} = 1

and

{x^2} + {y^2} = 12

, then

12{m^2}

is equal to :

JEE Main 2022 · 26 Jun, Evening shift · Q3721

MathematicsEasy74×since 2004Q3721

If m is the slope of a common tangent to the curves

{{{x^2}} \over {16}} + {{{y^2}} \over 9} = 1

and

{x^2} + {y^2} = 12

, then

12{m^2}

is equal to :