a quadratic equation whose roots are cosec 2 theta and sec 2 theta can be x^2-2x+2=0 x^2-3x+3=0 x^2-5x+5=0 none

Question

Ketan Prakash · Answer

Sec 2 a+cosec 2 a=1/sin 2 a+1/cos 2 a =sin 2 a+cos 2 a/sin 2 acos 2 a=4/sin 2 2a Sin2a=2sina cos a Sina cosa = 1/2 sin2a Sum of the roots = 4/sin 2 2a > or = 4 Products of roots = 4/sin 2 2a > or equals to 4 Both sum of roots and prouct of roots are equal.let it t. Hence , equation will be x 2 - tx + t=0 (t always greater or equals to 4) Hence , x 2 -5x+5=0 is one of the solution.

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a quadratic equation whose roots are cosec 2 theta and sec 2 theta can be x^2-2x+2=0 x^2-3x+3=0 x^2-5x+5=0 none

a quadratic equation whose roots are cosec²theta and sec² theta can be

x^2-2x+2=0

x^2-3x+3=0

x^2-5x+5=0

none

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a quadratic equation whose roots are cosec 2 theta and sec 2 theta can be x^2-2x+2=0 x^2-3x+3=0 x^2-5x+5=0 none

a quadratic equation whose roots are cosec2 theta and sec2 theta can be x^2-2x+2=0 x^2-3x+3=0 x^2-5x+5=0 none

1 Answers

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a quadratic equation whose roots are cosec²theta and sec² theta can be

x^2-2x+2=0

x^2-3x+3=0

x^2-5x+5=0

none