Most Important Selected Qs for JEE AdvancedMathematicsComplex Number
Paragraph Consider a circle centred at origin O and passing through points A ( z ₁ ), B ( z ₂ ) and C ( z ₃ ) . The tangents to the circle at A , B and C intersect at D , E and F ; D , E , F are opposite to A , B , C respectively. Also AOB = BOC = , where ( 2 , ) satisfying the equation 17 ^2 x+16 ( 1 2 x x-1 ) =-2 x(1+4 x) On the basis of above information, answer the following : Question Which of the following is n
Options
- Az = z ₁(1+ i ), R ₀
- B( z - z ₁ z ₁ )= 2
- Cz - z ₁ Z ₁ + z - Z ₁ Z ₁ =0
- DZ - Z ₁ Z ₁ - Z - Z ₁ Z ₁ =0
Correct answer
D. Z - Z ₁ Z ₁ - Z - Z ₁ Z ₁ =0
Step-by-step solution
OA AP ( z - z ₁ )- ( z ₁ )= 2 or ( z-z₁ z₁ )= 2 z - z ₁ z ₁ is purely imaginary. or z-z₁ z₁ = i z=z₁(1+ i), R₀ Also complex slope of AP + complex slope of OA =0 z-z₁ z - z₁ + z₁ z₁ =0 or z-z₁ z₁ + z - z₁ z₁ =0