If A=[(1,-1),(2,-1)],B=[(x,1),(y,-1)] an...

If `A=[(1,-1),(2,-1)],B=[(x,1),(y,-1)]` and `(A+B)^(2)=A^(2)+B^(2)` then `(x,y)=`

(1,4)

(2,1)

(3,3)

(0,1)

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

MATRICES
AAKASH SERIES|Exercise ALGEBRA OF MATRICES -PRACTICE EXERCISE|41 Videos
MATRICES
AAKASH SERIES|Exercise DETERMINANTS- EXERCISE - I|15 Videos
MATRICES
AAKASH SERIES|Exercise ALGEBRA OF MATRICES -EXERCISE - I|47 Videos
MATHEMATICAL INDUCTION
AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) LEVEL-I (Principle of Mathematical Induction) (Straight Objective Type Questions)|55 Videos
MAXIMA & MINIMA
AAKASH SERIES|Exercise EXERCISE-III|35 Videos

Similar Questions

Explore conceptually related problems

If A=[(1, 2, x),(3,-1,2)] and B=[(y),(x),(1)] be such that AB=[(6),(8)] , then

If (x ^(2))/(a ^(2)) - (y ^(2))/(b ^(2)) =1 then (dy)/(dx)=

If a, b are noncollinear vectors and A = (x + 4y) a + (2x + y + 1)b, B = (y - 2x +2) a + (2x - 3y - 1) b and 3A = 2B, then (x, y) =

If A ={1,2,3},B={x,y} then AxxB =

Let (x, y) be such that sin^(-1)(ax)+cos^(-1)(y)+cos^(-1)(bxy)=pi//2 . Match the statements in column I with statements in column II. {:("Column I", "Column II"), ("A) If a = 1 and b = 0, then (x, y)", "p) lies on the circle "x^(2)+y^(2)=1), ("B) If a = 1 and b = 1, then (x, y)", "q) lies on "(x^(2)-1)(y^(2)-1)=0), ("C) If a = 1 and b = 2, then (x, y)", "r) lies on y = x"), ("D) If a = 2 and b = 2, then (x, y)", "s) lies on "(4x^(2)-1)(y^(2)-1)=0):}

If 1/((1-2x)(1+3x))=A/(1-2x)+B/(1+3x) , then 2B =

If the pair of lines a_(1)x^(2)+2h_(1)xy+b_(1)y^(2)=0 and a_(2)x^(2)+2h_(2)xy+b_(3)y^(2)=0 have one line in common then show that (a_(1)b_(2)-a_(2)b_(1))^(2)+4(a_(1)h_(2)-a_(2)h_(1))(b_(1)h_(2)-b_(2)h_(1))=0

If (1+x+x^(2))^(n)=b_(0)+b_(1)x+b_(2)x^(2)+….+b_(2n)x^(2n) then prove that b_(1)+b_(3)+b_(5)+…..+b_(2n-1) = (3^(n)-1)/(2)

If |(x_(1),y_(1),1),(x_(2),y_(2),1),(x_(3),y_(3),1)|=|(a_(1),b_(1),1),(a_(2),b_(2),1),(a_(3),b_(3),1)| , then the two triangles with vertices (x_(1),y_(1)),(x_(2),y_(2)),(x_(3),y_(3)) and (a_(1),b_(1)),(a_(2),b_(2)),(a_(3),b_(3)) must be

AAKASH SERIES-MATRICES -ALGEBRA OF MATRICES - EXERCISE - II

If A=[(3,0,0),(0,3,0),(0,0,3)] then A^(5)=
Text Solution
|
[(x,y,z)][(a,h,g),(h,b,f),(g,f,c)][(x),(y),(z)]=
Text Solution
|
If A=[(1,-1),(2,-1)],B=[(x,1),(y,-1)] and (A+B)^(2)=A^(2)+B^(2) then (...
Text Solution
|
If alpha-beta=(2n+1)(pi)/2, n epsilon Z then [(cos^(2) alpha, cos alph...
Text Solution
|
If A=[(2,-2),(2,3)] and A^(2)-5A+kI(2)=0 then k =
Text Solution
|
If A=[(a,b),(c,d)],I=[(1,0),(0,1)] then A^(2)-(a+d)A=
Text Solution
|
If I = [(1,0),(0,1)] and E = [(0,1),(0,0)] then show that (aI + bE)^(3...
Text Solution
|
IF A=[{:(3,-4),(1,-1):}] then show that A^n=[{:(1+2n,-4n),(n,1-2n):}]...
Text Solution
|
if n is a positive integer and A=[(a,0,0),(0,b,0),(0,0,c)] then A^(n) ...
Text Solution
|
If A=((coshtheta,sinhtheta),(sinhtheta,coshtheta)) and ninN then A^(n)...
Text Solution
|
If A=[(1,1,0),(0,1,1),(0,0,1)] and ninN then A^(n)=
Text Solution
|
If A^(2)=2A-I then for n!=2,A^(n)=
Text Solution
|
If A=[(i,0,0),(0,i,0),(0,0,i)] then for ninN,A^(4n+1)=
Text Solution
|
If A=((0,0),(1,1)) then the value of A+A^(2)+A^(3)+ . . . .A^(n)=
Text Solution
|
If A=((2,-2,-4),(-1,3,4),(1,-2,k)) is an idempotent matrix then k =
Text Solution
|
IF A=[{:(2,4),(-1,k):}] and A^2=0 then find the value of k
Text Solution
|
A=[(1+i,2-3i,4),(7+2i,-i,3-2i)] then the conjugate of A is
Text Solution
|
If A is a skew-symmetric matrix and n is odd positive integer, then A^...
Text Solution
|
If [(1,-tan theta),( tan theta,1)][(1,tan theta),(-tan theta, 1)]^-1=[...
Text Solution
|
If [[x,4,-1]][(2,1,0),(1,0,2),(0,2,4)][(x),(4),(-1)]=0 then x=
Text Solution
|