Home
Class 12
MATHS
The value of |{:(x^(2)+y^(2),ax+by,x+y),...

The value of `|{:(x^(2)+y^(2),ax+by,x+y),(ax+by,a^(2)+b^(2),a+b),(x+y,a+b,2):}|` depends on

A

`a`

B

`b`

C

`x`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
`(d)` `Delta=|{:(x,y,0),(a,b,0),(1,1,0):}|*|{:(x,y,0),(a,b,0),(1,1,0):}|=0`
Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    CENGAGE ENGLISH|Exercise Comprehension|2 Videos

  • DETERMINANT

    CENGAGE ENGLISH|Exercise Multiple Correct Answer|5 Videos

  • DEFINITE INTEGRATION

    CENGAGE ENGLISH|Exercise JEE ADVANCED|38 Videos

  • DETERMINANTS

    CENGAGE ENGLISH|Exercise All Questions|264 Videos

Similar Questions

Explore conceptually related problems

{:(ax - by = a^(2) + b^(2)),(x + y = 2a):}

If a ,b ,c ,d ,e , and f are in G.P. then the value of |((a^2),(d^2),x),((b^2),(e^2),y),((c^2),(f^2),z)| depends on (A) x and y (B) x and z (C) y and z (D) independent of x ,y ,and z

Factorise : (iv) ax^(2) + b^(2) y - ab^(2) - x^(2) y

Find the value of x and y: ax +by =a-b bx-ay =a+b

x+y=a+b , a x-b y=a^2-b^2

x/a-y/b=0 , a x+b y=a^2+b^2

If a=(x)/(x^(2)+y^(2))and b=(y)/(x^(2)+y^(2)). The value of (x+y) is

if (x_(1)-x_(2))^(2)+(y_(1)-y_(2))^(2)=a^(2), (x_(2)-x_(3))^(2)+(y_(2)-y_(3))^(2)=b^(2) (x_(3)-x_(1))^(2)+(y_(3)-y_(1))^(2)=c^(2). where a,b,c are positive then prove that 4 |{:(x_(1),,y_(1),,1),(x_(2) ,,y_(2),,1),( x_(3),, y_(3),,1):}| = (a+b+c) (b+c-a) (c+a-b)(a+b-c)

The value of |(a_(1) x_(1) + b_(1) y_(1),a_(1) x_(2) + b_(1) y_(2),a_(1) x_(3) + b_(1) y_(3)),(a_(2) x_(1) +b_(2) y_(1),a_(2) x_(2) + b_(2) y_(2),a_(2) x_(3) + b_(2) y_(3)),(a_(3) x_(1) + b_(3) y_(1),a_(3) x_(2) + b_(3) y_(2),a_(3) x_(3) + b_(3) y_(3))| , is

Solve : {:((a)/(x)-(b)/(y)=0),((ab^(2))/(x)+(a^(2)b)/(y)=a^(2)+b^(2)):}