If a ^(2) + b ^(2) = 2 and c^(2) + d ^(2...

If `a ^(2) + b ^(2) = 2 and c^(2) + d ^(2) =1,` then the value of `(ad - bc) ^(2) + (ac + bd) ^(2)` is:

A

2

B

0

C

1

D

4

Text Solution

Verified by Experts

The correct Answer is:

A

Topper's Solved these Questions

ALGEBRAIC IDENTITIES
LUCENT PUBLICATION|Exercise Exercise - 1B|28 Videos
ALGEBRAIC IDENTITIES
LUCENT PUBLICATION|Exercise Exercise - 1B|28 Videos
ADVANCED TRIGONOMETRIC IDENTITIES
LUCENT PUBLICATION|Exercise EXERCISE 13A|49 Videos
CENTRE OF TRIANGLE
LUCENT PUBLICATION|Exercise EXERCISE-6B|8 Videos

Similar Questions

Explore conceptually related problems

" If \begin{vmatrix} -a^2 & ab & ac\\ ab & -b^2 & bc\\ ac & bc & -c^2 \end{vmatrix}=1 then the value of a^(2)b^(2)c^(2) is

If a^(2) + b^(2) + c^(2) = 0 and |(b^(2) + c^(2) ,ab,ac),(ab,c^(2) + a^(2),bc),(ac,bc,a^(2) + b^(2))| = k a^(2) b^(2) c^(2) , then the value of k is

| [-bc, b ^ (2) + bc, c ^ (2) + bca ^ (2) + ac, -ac, c ^ (2) + aca ^ (2) + ab, b ^ (2) + ab, -ab (ab + bc + ac), is = 64. then

If (a^(2)-bc)/(a^(2) +bc) + (b^(2)-ac)/(b^(2) + ac) + (c^(2)-ab)/(c^(2)+ab)= 1 then find (a^(2))/(a^(2) + bc) + (b^(2))/(b^(2) + ac) + (c^(2))/(c^(2) +ab)= ?

LUCENT PUBLICATION-ALGEBRAIC IDENTITIES -Exercise - 1A

If x=q+r +s, y = r +s -p and z= p+q +r then the value of x^(2) +y^(2)...
Text Solution
|
If x+y+z =10 , x^(2) +y^(2) +z^(2) =60 then value of xy+yz +zx is
Text Solution
|
If a ^(2) + b ^(2) = 2 and c^(2) + d ^(2) =1, then the value of (ad - ...
Text Solution
|
(x-a) (x-b) (a-b) +(x-b) (x-c) (b-c) +(x -c) (x -a) (c-a) is equal to...
Text Solution
|
Which one of the following is not a factor of this polynomial x^(8) + ...
Text Solution
|
A factor of a^(4) -11 a^(2) b^(2) +b^(4) is
Text Solution
|
If a^(2) +b^(2) = x, ab = y then the value of (a^(4) +b^(4))/(a^(2) -a...
Text Solution
|
If (a+b)x =a and (a+b) y = b then the value of (x^(2)+y^(2))/(x^(2)-y^...
Text Solution
|
If x=(p+q)/(p-q) and y=(p-q)/(p+q) then the value of (x-y)/(x+y) is
Text Solution
|
If x+(a)/(x) =1 then the value of (x^(3) -x^(2))/(x^(2) +x +a) in term...
Text Solution
|
If ( xy)/( x + y) = a , ( xz)/( x + z) = b and ( yz)/( y + z) = c wh...
Text Solution
|
HCF and LCM of two algebraic expressions are respectively (a + 1) an...
Text Solution
|
If (x^(2)+(1)/(x^(2)))=p, then what is the value of (x^(3)+(1)/(x^(3))...
Text Solution
|
If a+b+c=0, then what is the value of (a^(2)+b^(2)+c^(2))/((a-b)^(2)+(...
Text Solution
|
If y=(x+(1)/(x)), then the expression x^(4) +x^(3) -4x^(2) +x +1=0 can...
Text Solution
|
Value of (2+1) (2^(2) +1) (2^(4) +1) (2^(8) +1) (2^(16) +1) (2^(32) +1...
Text Solution
|
HCF of polynomials x^(3)+3x^(2)y +2xy^(2) and x^(4) +6x^(3)y +8x^(2)y...
Text Solution
|
If pqr = 1, then what is value of the expression (1)/(1+p+q^(-1)) +(1)...
Text Solution
|
If x+y+z=2s, then (s-x)^(3) +(s-y)^(3) +3(s-x) (s-y)z equals
Text Solution
|
If x^(2) = y + z, y^(2) = z + x, z^(2) = x + y then the value of (1)/...
Text Solution
|