In complex plane, three points O ,A , B ...

In complex plane, three points `O ,A , B` are such that O is origin `A(1,2) and Re(B) lt 0`. If `triangle OAB` is right angle isosceles with OB as hypotenuse then the point B is

`(-3,4)`

`(-1,3)`

`(-2,3)`

`(-1,4)`

Text Solution

AI Generated Solution

Topper's Solved these Questions

JEE MAIN 2021
JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos
JEE MAIN 2023
JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

Similar Questions

Explore conceptually related problems

If (9,-9),(1,-3) are the end points of hypotenuse of a right angled isosceles triangle,then the third vertex is

If 1,w,w^(2) are cube roots of unity represented on the complex plane by the points A,B and C respectively. If P,Q and R are the centroids of Delta OAB, Delta OBC and Delta OAC respectively then the area of Delta PQR is

Show that points A(3,-1) , B(-1 , 2) and C (6,3) form an isosceles right -angled triangle when joined .

In A B C , if r\ : r_1: R=2\ : 12\ :5, where all symbols have their usual meaning, then A B C is an acute angled triangle A B C is an obtuse angled triangle A B C is right angled which is not isosceles A B C is isosceles which is not right angled

The three points (-2,2)(9,-2),a n d(-4,-3) are the vertices of (a) an isosceles triangle (b) an equilateral triangle (c) a right-angled triangle (d) none of these

Show that the points A(0,1,2),B(2,-1,3) and C(1,-3,1) are vertices of an isosceles right-angled triangle.

Show that the points A(2,-1,3),B(1,-3,1) and C(0,1,2) are the vertices of an isosceles right angled triangle.

Show that the points (2,-1,3), (0,1,2) and (1,-3,1) are the vertices of an isosceles right angled triangle.

Charges Q_1 and Q_2 are at points A and B of a right angle triangle OAB (see figures) . The resultant electric field at point O is perpendicular to the phypotenuse, then Q_1//Q_2 is proportional to :

In a right angled triangle, the length of sides are a and b (0

JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question

If f(x)={((ln(1-x+x^2)+ln(1+x+x^2))/(sec x -cos x), x ne 0),(k,x=0):} ...
Text Solution
|
If g(x)={(x+a , x le 0),(abs(x-4), x gt 0):} and f(x)={(x+1 , x lt 0),...
Text Solution
|
In complex plane, three points O ,A , B are such that O is origin A(1,...
Text Solution
|
If A=[(1),(1),(1)] , B =[(9^2,10^2,11^2),(12^2,-13^2,14^2),(15^2,16^2,...
Text Solution
|
The value of int0^(20pi) (abs(sin x)+ abs(cos x))dx is equal to :
Text Solution
|
The total number between 1000 and 3000 divisible by 4 using the digits...
Text Solution
|
The area of region between the curve y=abs(x^2-1) and y=1 is :
Text Solution
|
The interval in which abscissa of point P on y=x^2 lies such that its ...
Text Solution
|
The minimum value of the sum of the square of the roots of the equatio...
Text Solution
|
Let A={1,2,3,4,5,6} , B={3,4,6,7,9} and C=A uu B , then number of elem...
Text Solution
|
The equation of the common tangent to the parabola y=x^2 and y=-(x-2)^...
Text Solution
|
If x-1=0 is directrix of hyperbola kx^2-y^2=6 then the point lying on ...
Text Solution
|
If z=x+iy , absz-2=0 and abs(z-i)-abs(z+5i)=0 , then which of the foll...
Text Solution
|
If lim(x to 0) (alpha x -(e^(3x)-1))/(alpha x (e^(3x)-1))=beta then al...
Text Solution
|
Let roots of x^2-4x-6=0 are the abscissa and roots of y^2+2y-7=0 are t...
Text Solution
|
Biased coins have probability of getting head is 2/3 and x is number o...
Text Solution
|
Let A={1,2,3,. . . ,7} , B={3,6,7,9} be two set and S={C sube A; CnnB ...
Text Solution
|
Let y(x) be the solution of the differential equation dy/dx+(xy)/(x^2-...
Text Solution
|
sum(i=0)^n sum(j=0)^n .^nCi xx ^nCj , (i ne j) is equal to :
Text Solution
|
The value of ln2 d/dx(log(cos x) cosec x) at x =pi/4 is
Text Solution
|