Equation of Circle in Complex Form
Trending Questions
Q. The area of the region {(x, y):0≤x≤94, 0≤y≤1, x≥3y, x+y≥2} is
- 1132 sq. units.
- 3596sq. units.
- 3796 sq. units.
- 1332sq. units.
Q. Let P and Q be two distinct points on a circle which has centre at C(2, 3) and which passes through origin O. If OC is perpendicular to both the line segments CP and CQ, then the set {P, Q} is equal to
- {(2+2√2, 3+√5), (2−2√2, 3−√5)}
- {(4, 0), (0, 6)}
- {(−1, 5), (5, 1)}
- {(2+2√2, 3−√5), (2−2√2, 3+√5)}
Q. Let z1 and z2 be two complex numbers satisfying |z1|=9 and |z2−3−4i|=4. Then the minimum value of |z1−z2| is :
- 0
- 1
- √2
- 2
Q. The least value of |z−3−4i|2+|z+2−7i|2+|z−5+2i|2 occurs when z=x+iy then the value of x is
Q.
The area of the circle centred atand passing through is
None of these
Q. Each of the circles |z−1−i|=1 and |z−1+i|=1 where z=x+iy, touches internally a circle of radius 2 units. The equation of the circle touching all the three circles can be
- 3z¯¯¯z+z+¯¯¯z−1=0
- 3z¯¯¯z−7z−7¯¯¯z+15=0
- z¯¯¯z−z−¯¯¯z−3=0
- 3z¯¯¯z+z+¯¯¯z+1=0
Q. If |z−1−i|=1, then the locus of a point represented by the complex number 5(z−i)−6 is
- a circle with centre (−1, 0) and radius 5
- a line passing through the origin
- a line passing through (−1, 0)
- a circle with centre (1, 0) and radius 3
Q.
The equation z¯z+a¯z+¯az+b = 0, b∈R represents a circle if
None of these