Most Important Selected Qs for JEE AdvancedMathematicsComplex Number
Equation of a straight line on the complex plane passing through a point P denoting the complex number and perpendicular to the vector OP where 'O' is the origin can be written as
Options
- AIm ( z- )=0
- BRe ( z- )=0
- CRe ( z)=0
- DZ+ z -2| |^2=0
Correct answer
D. Z+ z -2| |^2=0
Step-by-step solution
Required line is passing through P ( ) and parallel to the vector OQ hence z= +i , R z- = purely imaginary aligned & Re ( z- )=0 (B) (multiply N^r and D^r by ) & Re ((z- ) )=0 Re (z -| |)=0 & also, z- + z - =0 & (z- )+ ( z - )=0 & z+ z -2| |^2=0 aligned