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Most Important Selected Qs for JEE AdvancedMathematicsCircle

Let x, y, z and t be real number such that (x, y) lies on a circle having radius 3 ;(z, t) lies on a circle having radius 2 and x t-y z=6 . Find the greatest value of P=x z . [Note: Both circles have centre at origin.]

Correct answer

3

Step-by-step solution

x^2+y^2=9 ...(1) z^2+t^2=4 ...(2) Put aligned x & =3 and z=2 y & =3 and t=2 x t-y z & =6 6( - ) & =6 ( - ) & =1 p & =x z=6 p & =3[ ( + )+ ( - ) ₀] p & =3 ( + ) p_ & =3 aligned

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