JEE-Main - Grade 11 - Mathematics - Complex Numbers and Quadratic Equations - Importance and Snapshot of Complex Numbers and Quadratic Equations - Study ref# 614

Introduction:
In earlier classes, we have studied linear equations in
one or two variables and quadratic equations in one variable. We have seen
that the equation has
no real solution as gives
and
square of real numbe... read more

JEE-Main - Grade 11 - Mathematics - Complex Numbers and Quadratic Equations - Importance and Snapshot of Complex Numbers and Quadratic Equations - Study ref# 615

Following section must be covered to understand the
Complex Numbers and Quadratic Equations:
1. Complex Numbers
2. Algebra of Complex Numbers
3. The Modulus and the Conjugate of a Complex Number
4. Argand Plane and Polar Representat... read more

JEE-Main - Grade 11 - Mathematics - Complex Numbers and Quadratic Equations - Target Setup for Complex Numbers and Quadratic Equations - Study ref# 616

Student requires to achieve the following milestones to get better grip over Complex Numbers. The milestones / targets are as follows:-Starting Point: Days 0Test TypeAppear on TestTarget TestsScorePractice Test000%Chapter Test000%Subj... read more

JEE-Main - Grade 11 - Mathematics - Complex Numbers and Quadratic Equations - Study ref# 3216

If (1+i)z = (1-i),
then show that z = -i Answer:
(1+i)z = (1-i)
=
... read more

JEE-Main - Grade 11 - Mathematics - Complex Numbers and Quadratic Equations - Study ref# 3217

If z = x + iy, then show that z+2(z+)+b=0,
where b R,
represents a circle. Answer:
Since, &nb... read more

JEE-Main - Grade 11 - Mathematics - Complex Numbers and Quadratic Equations - Study ref# 3218

Show that the complex number z, satisfying the condition lies
on a circle. Answer: &n... read more

JEE-Main - Grade 11 - Mathematics - Complex Numbers and Quadratic Equations - Study ref# 3219

Write the complex number in a polar form: Answer:
Which is a polar form.... read more

JEE-Main - Grade 11 - Mathematics - Complex Numbers and Quadratic Equations - Study ref# 3220